instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
imus-logo
Tomás Caraballo Garrido
Miembro ordinario
caraball@us.es
http://personal.us.es/caraball/
Situación profesional: Catedrático
Departamento: Ecuaciones Diferenciales y Análisis Numérico
Teléfono: 954557998

Proyectos de la JJAA

P12-FQM-1492 Análisis y Aplicaciones de Sistemas Dinámicos no Autónomos y Estocásticos Miembro del Proyecto
P07-FQM-02468 Sistemas Dinámicos Estocásticos y no Autónomos, y Aplicaciones Responsable

Proyectos del Plan Nacional I+D+i

MTM2015-63723-P Sistemas dinámicos no autónomos y estocásticos de las ciencias aplicadas Responsable
MTM2014-61312-EXP Dinámica Fractal de la Consciencia: de la Teoría a la Implementación Clínica Miembro del Proyecto
MTM2011-22411 Estudio de los Sistemas Dinámicos no Autónomos y Estocásticos, y Aplicaciones Responsable
MTM2008-00088 Estudio de los sistemas dinámicos no autónomos y estocásticos, y aplicaciones Responsable
MTM2005-01412 Estudio de los sistemas dinámicos no autónomos y estocásticos y aplicaciones Responsable

Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

FQM314 Análisis Estocástico de Sistemas Diferenciales Responsable


Listado de Artículos (136)

  • Benhadri, M., Caraballo, T., Zeghdoudi, H.. Stability results for neutral stochastic functional differential equations via fixed point methods. International Journal of Control (2018)
  • Caraballo, T., Colucci, R., Guerrini, L.. On a predator prey model with nonlinear harvesting and distributed delay. Communications on Pure and Applied Analysis (2018)
  • Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P.. Robustness of time-dependent attractors in H1-norm for nonlocal problems. Discrete and Continuous Dynamical Systems. Series B (2018)
  • Liu, L., Caraballo, T., Marín-Rubio, P.. Stability results for 2D Navier–Stokes equations with unbounded delay. Journal of Differential Equations (2018)
  • Caraballo, T., El Fatini, M., Pettersson, R., Taki, R.. A stochastic siri epidemic model with relapse and media coverage. Discrete and Continuous Dynamical Systems. Series B (2018)
  • Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P.. Time-dependent attractors for non-autonomous non-local reaction–diffusion equations. Proceedings of the Royal Society of Edinburgh Section A-Mathematics (2018)
  • Liu, L., Caraballo, T.. Analysis of a Stochastic 2D-Navier–Stokes Model with Infinite Delay. Journal of Dynamics and Differential Equations (2018)
  • Caraballo, T., Colucci, R., Guerrini, L.. Dynamics of a continuous Hénon model. Mathematical Methods in the Applied Sciences (2018)
  • Liu, L., Caraballo, T., Fu, X.. Exponential stability of an incompressible non-Newtonian fluid with delay. Discrete and Continuous Dynamical Systems. Series B (2018)
  • Caraballo, T., Langa, J.A., Obaya, R., Sanz, A.M.. Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent. Journal of Differential Equations (2018)
  • Caraballo, T., Keraani, S.. Analysis of a stochastic SIR model with fractional Brownian motion. Stochastic Analysis and Applications (2018)
  • Samprogna, R., Caraballo, T.. Pullback attractor for a dynamic boundary non-autonomous problem with infinite delay. Discrete and Continuous Dynamical Systems. Series B (2018)
  • Liu, L., Caraballo, T., Fu, X.. Dynamics of a non-autonomous incompressible non-newtonian fluid with delay. Dynamics of Partial Differential Equations (2017)
  • Boudaoui, A., Caraballo, T., Ouahab, A.. Stochastic differential equations with non-instantaneous impulses driven by a fractional brownian motion. Discrete and Continuous Dynamical Systems. Series B (2017)
  • Liu, L., Caraballo, T.. Well-posedness and dynamics of a fractional stochastic integro-differential equation. Physica D-nonlinear Phenomena (2017)
  • Caraballo, Tomás; Colucci, Renato. A qualitative description of microstructure formation and coarsening phenomena for an evolution equation. Nonlinear Differential Equations and Applications (2017)
  • Liu, Linfang; Caraballo, Tomás; Kloeden, Peter. Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory. Revista Matematica Complutense (2017)
  • Liu, L., Caraballo, T., Kloeden, P.. Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory. Revista Matematica Complutense (2017)
  • Bonotto, Everaldo M.; Bortolan, Matheus C.; Caraballo, Tomás. Impulsive non-autonomous dynamical systems and impulsive cocycle attractors. Mathematical Methods in the Applied Sciences (2017)
  • Caraballo, T., Sonner, S.. Random pullback exponential attractors: General existence results for random dynamical systems in Banach spaces. Discrete and Continuous Dynamical Systems (2017)
  • Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José. Attractors for a random evolution equation with infinite memory: theoretical results. Discrete and Continuous Dynamical Systems. Series B (2017)
  • Caraballo, Tomás; Sonner, Stefanie. Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces. Discrete and Continuous Dynamical Systems (2017)
  • Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe. Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic. Discrete and Continuous Dynamical Systems. Series B (2017)
  • Blouhi, T.; Caraballo, T.; Ouahab, A.. Corrigendum to the paper: Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion. Stochastic Analysis and Applications (2017)
  • Caraballo, Tomás; Colucci, Renato. A comparison between random and stochastic modeling for a SIR model. Communications on Pure and Applied Analysis (2017)
  • Liu, Linfang; Caraballo, Tomás. Well-posedness and dynamics of a fractional stochastic integro-differential equation. Physica D-nonlinear Phenomena (2017)
  • Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.. Attractors for impulsive non-autonomous dynamical systems and their relations. Journal of Differential Equations (2017)
  • Caraballo, T., Hammami, M.A., Mchiri, L.. Practical exponential stability of impulsive stochastic functional differential equations. Systems & Control Letters (2017)
  • Rodrigues, H.M., Caraballo, T., Gameiro, M.. Dynamics of a class of odes via wavelets. Communications on Pure and Applied Analysis (2017)
  • Caraballo, T.; Langa, J. A.; Obaya, R.. Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations. Nonlinearity (2017)
  • Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P.. Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems. Journal of Mathematical Analysis and Applications (2017)
  • Caraballo, T., Garrido-Atienza, M.J., Lopez-de-La-Cruz, J.. Dynamics of some stochastic chemostat models with multiplicative noise. Communications on Pure and Applied Analysis (2017)
  • Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro. Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution. Discrete and Continuous Dynamical Systems. Series B (2017)
  • Tomás Caraballo, Renato Colucci, Xiaoying Han. Semi-Kolmogorov models for predation with indirect effects in random environments. Discrete and Continuous Dynamical Systems. Series B (2016)
  • Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani. Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay. Applicable Analysis. An International Journal (2016)
  • Caraballo, T., Hammami, M.A., Mchiri, L.. Practical Stability of Stochastic Delay Evolution Equations. Acta Applicandae Mathematicae (2016)
  • Caraballo, T., Colucci, R., Han, X.. Predation with indirect effects in fluctuating environments. Nonlinear Dynamics (2016)
  • T. Caraballo, J. A. Langa, J. Valero. Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Discrete and Continuous Dynamical Systems - Series S (2016)
  • Blouhi, T.; Caraballo, T.; Ouahab, A.. Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion. Stochastic Analysis and Applications (2016)
  • Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José. Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2016)
  • Diop, Mamadou Abdoul; Caraballo, Tomás; Mané, Aziz. Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations. Mathematical Methods in the Applied Sciences (2016)
  • Caraballo, T.; Herrera-Cobos, M.; Marín-Rubio, P. Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness. Nonlinear Dynamics (2016)
  • Caraballo, Tomás; Carvalho, Alexandre N.; da Costa, Henrique B.; Langa, José A.. Equi-attraction and continuity of attractors for skew-product semiflows. Discrete and Continuous Dynamical Systems. Series B (2016)
  • Bonotto, E.M., Bortolan, M.C., Caraballo, T., Collegari, R.. Impulsive surfaces on dynamical systems. Acta Mathematica Hungarica (2016)
  • Caraballo, T., Colucci, R., Han, X.. Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing,. Nonlinear Analysis. Real World Applications (2016)
  • Boudaoui, A., Caraballo, T., Ouahab, A.. Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay,. Mathematical Methods in the Applied Sciences (2016)
  • Caraballo, Tomás; Garrido-Atienza, María J.; Grecksch, Wilfried. Preface [Special issue dedicated to Björn Schmalfußon the occasion of his 60th birthday]. Discrete and Continuous Dynamical Systems. Series B (2016)
  • Diop, M.A., Caraballo, T., Mahamat Zene, M.. Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays,. Stochastics and Dynamics (2016)
  • Tomás Caraballo, Renato Colucci. Stabilization of oscillations in a phase transition model. Mathematical Methods in the Applied Sciences (2016)
  • Caraballo, T., Hammami, M.A., Mchiri, L.. On the practical global uniform asymptotic stability of stochastic differential equations. Stochastics (2016)
  • Caraballo, Tomás; Colucci, Renato. Effects of additive and multiplicative noise on the dynamics of a parabolic equation. Applied Mathematics & Information Sciences (2015)
  • Diop, M.A., Caraballo, T.. Asymptotic stability of neutral stochastic functional integro-differential equations. Electronic Communications in Probability (2015)
  • Caraballo, T.; Han, X.; Kloeden, P.E. Nonautonomous chemostats with variable delays. Siam Journal on Mathematical Analysis (2015)
  • Caraballo, Tomás; Morillas, Francisco; Valero, José. Attractors for non-autonomous retarded lattice dynamical systems. Nonautonomous Dynamical Systems (2015)
  • Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro. Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2015)
  • Caraballo, Tomás; Han, Xiaoying. A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions. Discrete and Continuous Dynamical Systems - Series S (2015)
  • Diop, M.A., Caraballo, T.S., Ndiaye, A.A. Exponential Behavior of Solutions to Stochastic Integrodifferential Equations with Distributed Delays. Stochastic Analysis and Applications (2015)
  • Caraballo, Tomás; Guirao, Juan L. G.. New trends on nonlinear dynamics and its applications [Preface.]. Discrete and Continuous Dynamical Systems - Series S (2015)
  • Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter. Chemostats with time-dependent inputs and wall growth. Applied Mathematics and Information Sciences (2015)
  • Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.; Rapaport, Alain. Dynamics of nonautonomous chemostat models. Studies in Systems, Decision and Control (2015)
  • Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad. Practical exponential stability in mean square of stochastic partial differential equations. Collectanea Mathematica (2015)
  • Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani. Existence of mild solutions to stochastic delay evolution equations with a fractional Brownian motion and impulses. Stochastic Analysis and Applications (2015)
  • Li, Xiaodi; Caraballo, T.; Rakkiyappan, R.; Han, Xiuping. On the stability of impulsive functional differential equations with infinite delays. Mathematical Methods in the Applied Sciences (2015)
  • Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Valero, José. Morse decomposition of global attractors with infinite components. Discrete and Continuous Dynamical Systems (2015)
  • Caraballo, T.,Han, X ., Kloeden, P.E. Chemostats with random inputs and wall growth. Mathematical Methods in the Applied Sciences (2015)
  • Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe. Well-posedness and asymptotic behavior of a nonclassical nonautonomous diffusion equation with delay. International Journal of Bifurcation and Chaos (2015)
  • Caraballo Garrido, Tomás; Morillas Jurado, Francisco G.; Valero, José. On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2014)
  • T. Caraballo, M. A. Diop & A.A. Ndiane. Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion.. The Journal of Nonlinear Science and Applications (2014)
  • Caraballo Garrido, Tomás; Colucci, Renato. Pullback attractor for a non-linear evolution equation in elasticity. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2014)
  • Caraballo, T.; Diop, M. A.; Ndiaye, A. A.. Existence results for time-dependent stochastic neutral functional integrodifferential equations driven by a fractional Brownian motion. Journal of Numerical Mathematics and Stochastics (2014)
  • Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad. Practical asymptotic stability of nonlinear stochastic evolution equations. STOCHASTIC ANALYSIS AND APPLICATIONS (2014)
  • Anguiano, María; Caraballo, Tomás. Asymptotic behaviour of a non-autonomous Lorenz-84 system. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2014)
  • T. Caraballo, M. A. Diop, A.S. Ndoye. Fixed points and exponential stability for stochastic partial integrodifferential equations with delays. Advances in Dynamical Systems and Applications (2014)
  • Caraballo, Tomás; Morillas, Francisco; Valero, José. Asymptotic behaviour of a logistic lattice system. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2014)
  • T. Caraballo, X. Han. Stability of stationary solutions to 2D-Navier-Stokes models with delays. Dynamics of Partial Differential Equations (2014)
  • Caraballo, Tomás; Shaikhet, Leonid. Stability of delay evolution equations with stochastic perturbations. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2014)
  • Tomás Caraballo; David Cheban. On the structure of the global attractor for infinite-dimensional non-autonomous dynamical systems with weak convergence. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2013)
  • Brzezniak, Z.; Caraballo, T.; Langa, J. A.; Li, Y.; Lukaszewicz, G.; Real, J. Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains.. Journal of Differential Equations (2013)
  • Caraballo, Tomás; Cheban, David. Almost periodic motions in semi-group dynamical systems and Bohr/Levitan almost periodic solutions of linear difference equations without Favard's separation condition. Journal of Difference Equations and Applications (2013)
  • Caraballo, Tomás; Kiss, Gábor. Attractors for differential equations with multiple variable delays.. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2013)
  • Caraballo Garrido, Tomás.; Márquez Durán, Antonio M.. Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Dynamics of Partial Differential Equations (2013)
  • Caraballo, Tomás; Cheban, David. Almost periodic and almost automorphic solutions of linear differential equations. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2013)
  • Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. Skew product semiflows and Morse decomposition. Journal of Differential Equations (2013)
  • Caraballo Garrido, Tomás; Walther, Hans-Otto. Preface [Special issue on deterministic and stochastic dynamical systems with delays]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2013)
  • Caraballo, Tomás; Kiss, Gábor. Attractivity for neutral functional differential equations.. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2013)
  • Anguiano, María; Caraballo, Tomás; Real, José; Valero, José. Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2013)
  • Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Liu, Zhenxin. Morse decomposition of attractors for non-autonomous dynamical systems. Advanced Nonlinear Studies (2013)
  • Caraballo, Tomás; Diop, Mamadou Abdoul. Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion. Frontiers of Mathematics in China (2013)
  • Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes.. Transactions of the American Mathematical Society (2013)
  • Tomás Caraballo; David Cheban. On the structure of the global attractor for non-autonomous difference equations with weak convergence. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2012)
  • Eder R. Aragão-Costa, Tomás Caraballo, Alexandre N. Carvalho, José A. Langa. Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup. Topological Methods in Nonlinear Analysis (2012)
  • Tomás Caraballo; David Cheban. On the structure of the global attractor for non-autonomous dynamical systems with weak convergence. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2012)
  • Tomás Caraballo, F. Morillas, J. Valero. Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
  • Tomás Caraballo; José A. Langa; Zhenxin Liu. Gradient Infinite-Dimensional Random Dynamical Systems. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2012)
  • M. C. Bortolan, T. Caraballo, A.N. Carvalho, J. A.Langa. An estimate on the fractal dimension of attractors of gradient-like dynamical systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2012)
  • Tomas Caraballo Garrido Morillas-Jurado, Francisco JOSÉ VALERO CUADRA. Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2011)
  • Tomas Caraballo Garrido, David Cheban. Levitan-Bhor almost periodic and almost automorphic solutions of second order monotone differential equations. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2011)
  • Caraballo Garrido, Tomás ; Cheban,David. Almost periodic and asymptotically almost periodic solutions of Liénard equations. Discrete and Continuous Dynamical Systems-Series B (2011)
  • Tomas Caraballo Garrido; Maria José Garrido Atienza; Taniguchi-,Takeshi. The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2011)
  • Aragão-Costa, E. R; Caraballo, T.; Carvalho, A. N.; Langa, J. A.. Stability of gradient semigroups under perturbations. Nonlinearity (2011)
  • Tomás Caraballo Garrido, Alexandre N. Carvalho, José Antonio Langa Rosado, Luis Felipe Rivero Garvía. A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor. Nonlinear Analysis-Theory Methods & Applications (2011)
  • Luis Felipe Rivero Garvía, Tomás Caraballo Garrido, Alexandre N. Carvalho, José Antonio Langa Rosado. Existence of Pullback Attractors for Pullback Asymptotically Compact Process. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2010)
  • Tomás Caraballo Garrido, José Real Anguas, Peter Eris Kloeden. Addendum to the Paper "unique Strong Solutions And V-Attractors of a Three Dimensional System of Globally Modified navier-Stokes Equations''. Advanced Nonlinear Studies (2010)
  • Francsico Balibrea, Tomás Caraballo, Peter Kloeden, José Valero. Editorial [International Conference on Dynamical Systems and Multidisciplinary Applications]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2010)
  • Maria Anguiano Moreno, Tomás Caraballo Garrido, José Real Anguas. H2-Boundedness of the Pullback Attractor for a Non-Autonomous Reaction¿Diffusion Equation. Nonlinear Analysis-Theory Methods & Applications (2010)
  • Maria Anguiano Moreno, Tomás Caraballo Garrido, José Real Anguas, José Valero Cuadra. Pullback Attractors for Reaction-Diffusion Equations in Some Unbounded Domains With an $h^{-1}$-Valued non-Autonomous Forcing Term and Without Uniqueness of Solutions. Discrete and Continuous Dynamical Systems-Series B (2010)
  • Tomás Caraballo Garrido, Lars Grüne. Introduction to Peter Kloeden's Special Issue. Journal of Difference Equations and Applications (2010)
  • Francisco Balibrea Gallego, Tomás Caraballo Garrido, Peter Eris Kloeden, José Valero Cuadra. Recent Developments in Dynamical Systems: Three Perspectives. International Journal of Bifurcation and Chaos (2010)
  • Tomás Caraballo Garrido, José Antonio Langa Rosado, Luis Felipe Rivero Garvía, Alexandre N. Carvalho. A Gradient-Like Nonautonomous Evolution Process. International Journal of Bifurcation and Chaos (2010)
  • Maria Anguiano Moreno, Tomás Caraballo Garrido, José Real Anguas. Existence of Pullback Attractor for a Reaction-Diffusion equation in Some Unbounded Domains With Non-Autonomous Forcing term in $h^{-1}$. International Journal of Bifurcation and Chaos (2010)
  • Tomás Caraballo Garrido, María José Garrido Atienza, Bjorn Schmalfuss, José Valero Cuadra. Global Attractor for a Non-Autonomous Integro-Differential Equation in Materials With Memory. Nonlinear Analysis-Theory Methods & Applications (2010)
  • Tomás Caraballo Garrido, José Real Anguas, Antonio Miguel Márquez Durán. Three Dimensional System of Globally Modified navier-Stokes Equations With Delay. International Journal of Bifurcation and Chaos (2010)
  • Tomás Caraballo Garrido, Russell Johnson, José Real Anguas. Preface of the Special Issue Dedicated to the 60th Birthday of Peter Kloeden. Discrete and Continuous Dynamical Systems-Series B (2010)
  • Tomás Caraballo Garrido, María José Garrido Atienza, Bjorn Schmalfuss, José Valero Cuadra. Asymptotic Behaviour of a Stochastic Semilinear Dissipative Functional Equation Without Uniqueness of Solutions. Discrete and Continuous Dynamical Systems-Series B (2010)
  • Tomás Caraballo Garrido, Jinqiao Duan, Kening Lu, Bjorn Schmalfuss. Invariant Manifolds for Random and Stochastic Partial Differential Equations. Advanced Nonlinear Studies (2010)
  • Tomás Caraballo Garrido, Antonio Miguel Márquez Durán, José Real Anguas. Asymptotic Behaviour of the Three-Dimensional Á-Navier¿Stokes Model With Locally Lipschitz Delay Forcing Terms. Nonlinear Analysis-Theory Methods & Applications (2009)
  • Tomás Caraballo Garrido, David Cheban. Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations Without Favard's Separation Condition. I. Journal of Differential Equations (2009)
  • Tomás Caraballo Garrido, David Cheban. Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations Without Favard's Separation Condition. II. Journal of Differential Equations (2009)
  • Tomás Caraballo Garrido, Peter Eris Kloeden. Non-Autonomous Attractor for Integro-Differential Evolution Equations. Discrete and Continuous Dynamical Systems-Series S (2009)
  • Tomás Caraballo Garrido, Alexandre N. Carvalho, José Antonio Langa Rosado, Luis Felipe Rivero Garvía. A Gradient-Like Non-Autonomous Evolution Process. Instituto de Ciencias Matemáticas e de Computaçao (2009)
  • Tomás Caraballo Garrido, Kening Lu. Attractors for Stochastic Lattice Dynamical Systems With a Multiplicative Noise. Frontiers of Mathematics in China (2008)
  • Tomás Caraballo Garrido, Antonio Miguel Márquez Durán, José Real Anguas. Asymptotic Behaviour of the Three-Dimensional Alpha-Navier-Stokes Model With Delays. Journal of Mathematical Analysis and Applications (2008)
  • Tomás Caraballo Garrido, Peter Eris Kloeden, José Real Anguas. Invariant Measures and Statistical Solutions of the Globally Modified Navier-Stokes Equations. Discrete and Continuous Dynamical Systems-Series B (2008)
  • Tomás Caraballo Garrido, Igor Chueshov, José Real Anguas. Pullback Attractors for Stochastic Heat Equations in Materials With Memory. Discrete and Continuous Dynamical Systems-Series B (2008)
  • Tomás Caraballo Garrido, María José Garrido Atienza, Bjorn Schmalfuss, José Valero Cuadra. Non-Autonomous and Random Attractors for Delay Random Semilinear Equations Without Uniqueness. Discrete and Continuous Dynamical Systems (2008)
  • Tomás Caraballo Garrido, Peter Eris Kloeden, A Neuenkirch. Synchronization of Systems With Multiplicative Noise. Stochastics and Dynamics (2008)
  • Tomás Caraballo Garrido, José Antonio Langa Rosado, José Valero Cuadra. Stabilisation of Differential Inclusions and Pdes Without Uniqueness by Noise. Communications on Pure and Applied Analysis (2008)
  • Tomás Caraballo Garrido, Hans Crauel, José Antonio Langa Rosado, James C. Robinson. The Effect of Noise on the Chafee-Infante Equation: a Nonlinear Case Study. Proceedings of the American Mathematical Society (2007)
  • Tomás Caraballo Garrido, Pedro Marín Rubio, José Valero Cuadra. Attractors for Differential Equations With Unbounded Delays. Journal of Differential Equations (2007)
  • Tomás Caraballo, Amadeu Delshams, Ángel Jorba,Peter Kloeden, Rafael Obaya. Preface: Special issue on nonautonomous, stochastic and Hamiltonian dynamical systems. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2007)
  • Tomás Caraballo Garrido, Igor Chueshov, Pedro Marín Rubio, José Real Anguas. Existence and Asymptotic Behaviour for Stochastic Heat Equations With Multiplicative Noise in Materials With Memory. Discrete and Continuous Dynamical Systems (2007)
  • Tomás Caraballo Garrido, María José Garrido Atienza, Bjorn Schmalfuss. Existence of Exponentially Attracting Stationary Solutions for Delay Evolution Equations. Discrete and Continuous Dynamical Systems (2007)
  • Tomás Caraballo Garrido, José Real Anguas, Takeshi Taniguchi. The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations. Discrete and Continuous Dynamical Systems (2007)
  • Tomás Caraballo Garrido, Peter Eris Kloeden, Pedro Marín Rubio. Numerical and Finite Delay Approximations of Attractors for Logistic Differential-Integral Equations With Infinite Delay. Discrete and Continuous Dynamical Systems (2007)
  • Tomás Caraballo Garrido, Igor Chueshov, Peter Eris Kloeden. Synchronization of a Stochastic Reaction-Diffusion System on a Thin Two-Layer Domain. Siam Journal on Mathematical Analysis (2007)
  • Tomás Caraballo Garrido, José Real Anguas, Leonid Shaikhet. Method of Lyapunov Functionals Construction in Stability of Delay Evolution Equations. Journal of Mathematical Analysis and Applications (2007)

Libros y capítulos (7)

  • Tomás Caraballo, Antonio M. Márquez-Durán, Felipe Rivero. A nonclassical and nonautonomous diffusion equation containing infinite delays. Springer (2016)
  • Asai, Y., Caraballo, T., Han, X., Kloeden, P.E.. A random model for immune response to virus in fluctuating environments. (2016)
  • Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. Long-time behaviour of nonlocal Partial Differential Equations. (2014)
  • Tomás Caraballo, Antonio Miguel Márquez Durán, Felipe Rivero. Una perturbación dependiente del tiempo en una ecuación de difusión no clásica conteniendo retardo.. (2014)
  • Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a parabolic equation with nonlocal diffusion and sublinear terms. (2014)
  • Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a heat equation with non-local diffusion. (2014)
  • Tomás Caraballo, Antonio Miguel Márquez Durán, Felipe Rivero. A nonclassical and nonautonomous diffusion equation with delay. (2014)

Aportaciones a congresos (24)

  • Pinelas, S., Caraballo, T., Kloeden, P., Graef, J.R.. Preface. (2018)
  • J. Valero; T. Caraballo; C. Jara, J.A. Langa. Morse decomposition of global attractors with infinite components. Conference on Partial Differential Equations (2014)
  • Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. Long-time behaviour of nonlocal Partial Differential Equations. 8th European Conference On Elliptic And Parabolic Problems (2014)
  • Tomás Caraballo. Stability of stochastic delay PDEs via Lyapunov's functionals. International Conference on Dynamical Systems and Applications (2014)
  • Tomás Caraballo. Recent results on stability of delay evolution equations with stochastic perturbations. Workshop Infinite Dimensional Stochastic Systems: Theory And Applications (2014)
  • J. Valero; T. Caraballo; C. Jara; J.A. Langa. Morse decomposition of global attractors with infinite components. 10th AIMS Conference on Dynamical Systems, Differential Equations, and Applications (2014)
  • Tomás Caraballo. Chemostats with random inputs. Conference EASC 2014, SDEDE 2014 (2014)
  • Tomás Caraballo, Antonio Miguel Márquez Durán, Felipe Rivero. Una perturbación dependiente del tiempo en una ecuación de difusión no clásica conteniendo retardo.. NoLineal 2014 (2014)
  • Tomás Caraballo. Random and non-autonomous dynamics of chemostasts. Colloquim Auburn University (2014)
  • Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a parabolic equation with nonlocal diffusion and sublinear terms. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014)
  • Tomás Caraballo. Deterministic versus random dynamics. ICMAT Seminar Applied Probability and Statistics (2014)
  • Tomás Caraballo. Dynamics of Random and non-autonomous chemostasts. Kolloquim zur Stochastik (2014)
  • Tomás Caraballo. Recent results on stability of stochastic delay evolution equations. ICMC-Summer Meeting on Differential Equations, chapter 2014 (2014)
  • Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a heat equation with non-local diffusion. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014)
  • Tomás Caraballo, Antonio Miguel Márquez Durán, Felipe Rivero. A nonclassical and nonautonomous diffusion equation with delay. 3º International Eurasian Conference on Mathematical Sciences and Applications (2014)
  • Tomás Caraballo. Chemostats with random inputs. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014)
  • Tomás Caraballo. Stability of stochastic delay evolution equations. Conference on Partial Differential Equations (2014)
  • Tomás Caraballo. Random dynamics of lattice systems perturbed by noise. Conference on Random Dynamics and Stochastic Numerics (2014)
  • Tomás Caraballo. Asymptotic behaviour of dissipative lattice dynamical systems with delays. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014)
  • Caraballo, Tomás. Lattice dynamical systems with delays: existence of solutions and their asymptotic behaviour. ICMC Summer meeting of differential equations, Chapter 2013 (2013)
  • Caraballo, Tomás. Existence of solutions of a lattice dynamical systems with delays and their asymptotic behaviour. International Symposium on Differential Equations and Difference Equations (2013)
  • Caraballo, Tomás. Asymptotic behaviour of Multi-valued Random Dynamical Systems with delays. Workshop on Stochastic delay differential equations and their applications (2013)
  • Caraballo, T.; Márquez-Durán, A. M. Estudio de las soluciones de una ecuación de difusión no clásica con retardo. XXIII CEDYA (2013)
  • Caraballo, T; Morillas, F; Valero J.:. Asymptotic behaviour of solutions of an infinite logistic system. XXIII CEDYA (2013)

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Listado de Artículos (136)
Pullback attractor for a dynamic boundary non-autonomous problem with infinite delay Samprogna, R., Caraballo, T., Discrete and Continuous Dynamical Systems. Series B 2018 - 0
Robustness of time-dependent attractors in H1-norm for nonlocal problems Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P., Discrete and Continuous Dynamical Systems. Series B 2018 - 0
Time-dependent attractors for non-autonomous non-local reaction–diffusion equations Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P., Proceedings of the Royal Society of Edinburgh Section A-Mathematics 2018 - 0
Dynamics of a continuous Hénon model Caraballo, T., Colucci, R., Guerrini, L., Mathematical Methods in the Applied Sciences 2018 - 0
Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent Caraballo, T., Langa, J.A., Obaya, R., Sanz, A.M., Journal of Differential Equations 2018 - 0
On a predator prey model with nonlinear harvesting and distributed delay Caraballo, T., Colucci, R., Guerrini, L., Communications on Pure and Applied Analysis 2018 - 0
Stability results for 2D Navier–Stokes equations with unbounded delay Liu, L., Caraballo, T., Marín-Rubio, P., Journal of Differential Equations 2018 - 0
A stochastic siri epidemic model with relapse and media coverage Caraballo, T., El Fatini, M., Pettersson, R., Taki, R., Discrete and Continuous Dynamical Systems. Series B 2018 - 0
Analysis of a Stochastic 2D-Navier–Stokes Model with Infinite Delay Liu, L., Caraballo, T., Journal of Dynamics and Differential Equations 2018 - 0
Exponential stability of an incompressible non-Newtonian fluid with delay Liu, L., Caraballo, T., Fu, X., Discrete and Continuous Dynamical Systems. Series B 2018 - 0
Analysis of a stochastic SIR model with fractional Brownian motion Caraballo, T., Keraani, S., Stochastic Analysis and Applications 2018 - 0
Stability results for neutral stochastic functional differential equations via fixed point methods Benhadri, M., Caraballo, T., Zeghdoudi, H., International Journal of Control 2018 - 0
Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution Caraballo, Tomás, Herrera-Cobos, Marta, Marín-Rubio, Pedro, Discrete and Continuous Dynamical Systems. Series B 2017 - 0
A comparison between random and stochastic modeling for a SIR model Caraballo, Tomás, Colucci, Renato, Communications on Pure and Applied Analysis 2017 - 0
Attractors for impulsive non-autonomous dynamical systems and their relations Bonotto, E. M., Bortolan, M. C., Caraballo, T., Journal of Differential Equations 2017 - 0
Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations Caraballo, T., Langa, J. A., Obaya, R., Nonlinearity 2017 - 0
A qualitative description of microstructure formation and coarsening phenomena for an evolution equation Caraballo, Tomás, Colucci, Renato, Nonlinear Differential Equations and Applications 2017 - 0
Impulsive non-autonomous dynamical systems and impulsive cocycle attractors Bonotto, Everaldo M., Bortolan, Matheus C., Caraballo, Tomás, Mathematical Methods in the Applied Sciences 2017 - 0
Attractors for a random evolution equation with infinite memory: theoretical results Caraballo, Tomás, Garrido-Atienza, María J., Schmalfuss, Björn, Valero, José, Discrete and Continuous Dynamical Systems. Series B 2017 - 0
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic Caraballo, Tomás, Márquez-Durán, Antonio M., Rivero, Felipe, Discrete and Continuous Dynamical Systems. Series B 2017 - 0
Dynamics of a class of odes via wavelets Rodrigues, H.M., Caraballo, T., Gameiro, M., Communications on Pure and Applied Analysis 2017 - 0
Dynamics of some stochastic chemostat models with multiplicative noise Caraballo, T., Garrido-Atienza, M.J., Lopez-de-La-Cruz, J., Communications on Pure and Applied Analysis 2017 - 0
Stochastic differential equations with non-instantaneous impulses driven by a fractional brownian motion Boudaoui, A., Caraballo, T., Ouahab, A., Discrete and Continuous Dynamical Systems. Series B 2017 - 0
Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory Liu, Linfang, Caraballo, Tomás, Kloeden, Peter, Revista Matematica Complutense 2017 - 0
Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces Caraballo, Tomás, Sonner, Stefanie, Discrete and Continuous Dynamical Systems 2017 - 0
Corrigendum to the paper: Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion Blouhi, T., Caraballo, T., Ouahab, A., Stochastic Analysis and Applications 2017 - 0
Well-posedness and dynamics of a fractional stochastic integro-differential equation Liu, Linfang, Caraballo, Tomás, Physica D-nonlinear Phenomena 2017 - 0
Well-posedness and dynamics of a fractional stochastic integro-differential equation Liu, L., Caraballo, T., Physica D-nonlinear Phenomena 2017 - 0
Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory Liu, L., Caraballo, T., Kloeden, P., Revista Matematica Complutense 2017 - 0
Random pullback exponential attractors: General existence results for random dynamical systems in Banach spaces Caraballo, T., Sonner, S., Discrete and Continuous Dynamical Systems 2017 - 0
Practical exponential stability of impulsive stochastic functional differential equations Caraballo, T., Hammami, M.A., Mchiri, L., Systems & Control Letters 2017 - 0
Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P., Journal of Mathematical Analysis and Applications 2017 - 0
Dynamics of a non-autonomous incompressible non-newtonian fluid with delay Liu, L., Caraballo, T., Fu, X., Dynamics of Partial Differential Equations 2017 - 0
Practical Stability of Stochastic Delay Evolution Equations Caraballo, T., Hammami, M.A., Mchiri, L., Acta Applicandae Mathematicae 2016 - 0
Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P., Nonlinear Dynamics 2016 - 0
Predation with indirect effects in fluctuating environments Caraballo, T., Colucci, R, Han, X., Nonlinear Dynamics 2016 - 2
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise Caraballo, Tomás, Han, Xiaoying, Schmalfuss, Björn, Valero, José, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2016 - 0
Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing, Caraballo, T, Colucci, R, Han, X., Nonlinear Analysis. Real World Applications 2016 - 2
Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays, Diop, M.A, Caraballo, T, Mahamat Zene, M., Stochastics and Dynamics 2016 - 0
Stabilization of oscillations in a phase transition model Tomás Caraballo, Renato Colucci, Mathematical Methods in the Applied Sciences 2016 - 0
Semi-Kolmogorov models for predation with indirect effects in random environments Tomás Caraballo, Renato Colucci, Xiaoying Han, Discrete and Continuous Dynamical Systems. Series B 2016 - 0
Structure of the pullback attractor for a non-autonomous scalar differential inclusion T. Caraballo, J. A. Langa, J. Valero, Discrete and Continuous Dynamical Systems - Series S 2016 - 0
Impulsive surfaces on dynamical systems Bonotto, E.M., Bortolan, M.C., Caraballo, T., Collegari, R., Acta Mathematica Hungarica 2016 - 0
Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay, Boudaoui, A, Caraballo, T., Ouahab, A., Mathematical Methods in the Applied Sciences 2016 - 0
On the practical global uniform asymptotic stability of stochastic differential equations Caraballo, T., Hammami, M.A., Mchiri, L., Stochastics 2016 - 0
Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay Boudaoui, Ahmed, Caraballo, Tomás, Ouahab, Abdelghani, Applicable Analysis. An International Journal 2016 - 0
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion Blouhi, T., Caraballo, T, Ouahab, A., Stochastic Analysis and Applications 2016 - 0
Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations Diop, Mamadou Abdoul, Caraballo, Tomás, Mané, Aziz, Mathematical Methods in the Applied Sciences 2016 - 0
Equi-attraction and continuity of attractors for skew-product semiflows Caraballo, Tomás, Carvalho, Alexandre N., da Costa, Henrique B., Langa, José A., Discrete and Continuous Dynamical Systems. Series B 2016 - 0
Preface [Special issue dedicated to Björn Schmalfußon the occasion of his 60th birthday] Caraballo, Tomás, Garrido-Atienza, María J, Grecksch, Wilfried, Discrete and Continuous Dynamical Systems. Series B 2016 - 0
Asymptotic stability of neutral stochastic functional integro-differential equations Diop, M.A, Caraballo, T., Electronic Communications in Probability 2015 - 1
Chemostats with random inputs and wall growth Caraballo, T., Han, X., Kloeden, P.E., Mathematical Methods in the Applied Sciences 2015 - 1
Nonautonomous chemostats with variable delays Caraballo, T., Han, X., Kloeden, P.E., Siam Journal on Mathematical Analysis 2015 - 0
Dynamics of nonautonomous chemostat models Caraballo, Tomás, Han, Xiaoying, Kloeden, Peter E., Rapaport, Alain, Studies in Systems, Decision and Control 2015 - 0
On the stability of impulsive functional differential equations with infinite delays Li, Xiaodi, Caraballo, T., Rakkiyappan, R., Han, Xiuping, Mathematical Methods in the Applied Sciences 2015 - 0
Well-posedness and asymptotic behavior of a nonclassical nonautonomous diffusion equation with delay Caraballo, Tomás, Márquez-Durán, Antonio M., Rivero, Felipe, International Journal of Bifurcation and Chaos 2015 - 0
Effects of additive and multiplicative noise on the dynamics of a parabolic equation Caraballo, Tomás, Colucci, Renato, Applied Mathematics & Information Sciences 2015 - 1
Attractors for non-autonomous retarded lattice dynamical systems Caraballo, Tomás, Morillas, Francisco, Valero, José, Nonautonomous Dynamical Systems 2015 - 0
Exponential Behavior of Solutions to Stochastic Integrodifferential Equations with Distributed Delays Diop, M.A., Caraballo, T.S, Ndiaye, A.A., Stochastic Analysis and Applications 2015 - 0
Practical exponential stability in mean square of stochastic partial differential equations Caraballo, Tomás, Hammami, Mohamed Ali, Mchiri, Lassaad, Collectanea Mathematica 2015 - 0
Existence of mild solutions to stochastic delay evolution equations with a fractional Brownian motion and impulses Boudaoui, Ahmed, Caraballo, Tomás, Ouahab, Abdelghani, Stochastic Analysis and Applications 2015 - 2
Morse decomposition of global attractors with infinite components Caraballo, Tomás, Jara, Juan C., Langa, José A., Valero, José, Discrete and Continuous Dynamical Systems 2015 - 1
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms Caraballo, Tomás, Herrera-Cobos, Marta, Marín-Rubio, Pedro, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2015 - 1
A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions Caraballo, Tomás, Han, Xiaoying, Discrete and Continuous Dynamical Systems - Series S 2015 - 0
Chemostats with time-dependent inputs and wall growth Caraballo, Tomás, Han, Xiaoying, Kloeden, Peter, Applied Mathematics and Information Sciences 2015 - 0
New trends on nonlinear dynamics and its applications [Preface.] Caraballo, Tomás, Guirao, Juan L. G., Discrete and Continuous Dynamical Systems - Series S 2015 - 0
Stability of stationary solutions to 2D-Navier-Stokes models with delays T. Caraballo, X. Han, Dynamics of Partial Differential Equations 2014 - 0
Pullback attractor for a non-linear evolution equation in elasticity Caraballo Garrido, Tomás, Colucci, Renato, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 2014 - 1
Practical asymptotic stability of nonlinear stochastic evolution equations Caraballo, Tomás, Hammami, Mohamed Ali, Mchiri, Lassaad, STOCHASTIC ANALYSIS AND APPLICATIONS 2014 - 0
Asymptotic behaviour of a non-autonomous Lorenz-84 system Anguiano, María, Caraballo, Tomás, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2014 - 0
Asymptotic behaviour of a logistic lattice system Caraballo, Tomás, Morillas, Francisco, Valero, José, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2014 - 0
Stability of delay evolution equations with stochastic perturbations Caraballo, Tomás, Shaikhet, Leonid, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2014 - 0
Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion. T. Caraballo, M. A. Diop & A.A. Ndiane, The Journal of Nonlinear Science and Applications 2014 - 0
On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems Caraballo Garrido, Tomás, Morillas Jurado, Francisco G., Valero, José, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2014 - 1
Fixed points and exponential stability for stochastic partial integrodifferential equations with delays T. Caraballo, M. A. Diop, A.S. Ndoye, Advances in Dynamical Systems and Applications 2014 - 0
Existence results for time-dependent stochastic neutral functional integrodifferential equations driven by a fractional Brownian motion Caraballo, T., Diop, M. A., Ndiaye, A. A., Journal of Numerical Mathematics and Stochastics 2014 - 0
On the structure of the global attractor for infinite-dimensional non-autonomous dynamical systems with weak convergence Tomás Caraballo, David Cheban, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2013 - 0
Attractors for differential equations with multiple variable delays. Caraballo, Tomás, Kiss, Gábor, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2013 - 1
Almost periodic and almost automorphic solutions of linear differential equations Caraballo, Tomás, Cheban, David, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2013 - 3
Preface [Special issue on deterministic and stochastic dynamical systems with delays] Caraballo Garrido, Tomás, Walther, Hans-Otto, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 2013 - 0
Attractivity for neutral functional differential equations. Caraballo, Tomás, Kiss, Gábor, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 2013 - 1
Morse decomposition of attractors for non-autonomous dynamical systems Caraballo, Tomás, Jara, Juan C., Langa, José A., Liu, Zhenxin, Advanced Nonlinear Studies 2013 - 3
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains. Brzezniak, Z., Caraballo, T., Langa, J. A., Li, Y., Lukaszewicz, G., Real, J., Journal of Differential Equations 2013 - 7
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay Caraballo Garrido, Tomás., Márquez Durán, Antonio M., Dynamics of Partial Differential Equations 2013 - 0
Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains Anguiano, María, Caraballo, Tomás, Real, José, Valero, José, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2013 - 0
Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion Caraballo, Tomás, Diop, Mamadou Abdoul, Frontiers of Mathematics in China 2013 - 2
Skew product semiflows and Morse decomposition Bortolan, M. C., Caraballo, T., Carvalho, A. N., Langa, J. A., Journal of Differential Equations 2013 - 2
Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes. Aragão-Costa, E. R., Caraballo, T., Carvalho, A. N., Langa, J. A., Transactions of the American Mathematical Society 2013 - 3
Almost periodic motions in semi-group dynamical systems and Bohr/Levitan almost periodic solutions of linear difference equations without Favard's separation condition Caraballo, Tomás, Cheban, David, Journal of Difference Equations and Applications 2013 - 0
Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup Eder R. Aragão-Costa, Tomás Caraballo, Alexandre N. Carvalho, José A. Langa, Topological Methods in Nonlinear Analysis 2012 - 5
Gradient Infinite-Dimensional Random Dynamical Systems Tomás Caraballo, , , SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 2012 - 0
On the structure of the global attractor for non-autonomous difference equations with weak convergence Tomás Caraballo, David Cheban, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 2012 - 2
Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities Tomás Caraballo, F. Morillas, J. Valero, JOURNAL OF DIFFERENTIAL EQUATIONS 2012 - 8
An estimate on the fractal dimension of attractors of gradient-like dynamical systems M. C. Bortolan, T. Caraballo, A.N. Carvalho, J. A.Langa, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2012 - 0
On the structure of the global attractor for non-autonomous dynamical systems with weak convergence Tomás Caraballo, David Cheban, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2012 - 4
A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor Tomás Caraballo Garrido, Alexandre N. Carvalho, José Antonio Langa Rosado, Luis Felipe Rivero Garvía, Nonlinear Analysis-Theory Methods & Applications 2011 - 4
Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity Tomas Caraballo Garrido Morillas-Jurado, Francisco JOSÉ VALERO CUADRA, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 2011 - 7
Levitan-Bhor almost periodic and almost automorphic solutions of second order monotone differential equations Tomas Caraballo Garrido, David Cheban, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 2011 - 6
Almost periodic and asymptotically almost periodic solutions of Liénard equations Caraballo Garrido, Tomás , Cheban,David, Discrete and Continuous Dynamical Systems-Series B 2011 - 0
The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion Maria José Garrido Atienza, , Taniguchi-,Takeshi, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2011 - 37
Stability of gradient semigroups under perturbations Aragão-Costa, E. R, Caraballo, T., Carvalho, A. N., Langa, J. A., Nonlinearity 2011 - 10
Addendum to the Paper "unique Strong Solutions And V-Attractors of a Three Dimensional System of Globally Modified navier-Stokes Equations'' Tomás Caraballo Garrido, José Real Anguas, Peter Eris Kloeden, Advanced Nonlinear Studies 2010 - 0
Pullback Attractors for Reaction-Diffusion Equations in Some Unbounded Domains With an $h^{-1}$-Valued non-Autonomous Forcing Term and Without Uniqueness of Solutions Maria Anguiano Moreno, Tomás Caraballo Garrido, José Real Anguas, José Valero Cuadra, Discrete and Continuous Dynamical Systems-Series B 2010 - 14
A Gradient-Like Nonautonomous Evolution Process , Tomás Caraballo Garrido, José Antonio Langa Rosado, Luis Felipe Rivero Garvía, Alexandre N. Carvalho, International Journal of Bifurcation and Chaos 2010 - 5
Invariant Manifolds for Random and Stochastic Partial Differential Equations Tomás Caraballo Garrido, Jinqiao Duan, Kening Lu, Bjorn Schmalfuss, Advanced Nonlinear Studies 2010 - 16
Existence of Pullback Attractors for Pullback Asymptotically Compact Process , Luis Felipe Rivero Garvía, Tomás Caraballo Garrido, Alexandre N. Carvalho, José Antonio Langa Rosado, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2010 - 18
H2-Boundedness of the Pullback Attractor for a Non-Autonomous Reaction¿Diffusion Equation Maria Anguiano Moreno, Tomás Caraballo Garrido, José Real Anguas, Nonlinear Analysis-Theory Methods & Applications 2010 - 1
Introduction to Peter Kloeden's Special Issue Tomás Caraballo Garrido, Lars Grüne, Journal of Difference Equations and Applications 2010 - 0
Global Attractor for a Non-Autonomous Integro-Differential Equation in Materials With Memory , María José Garrido Atienza, Bjorn Schmalfuss, José Valero Cuadra, Nonlinear Analysis-Theory Methods & Applications 2010 - 5
Preface of the Special Issue Dedicated to the 60th Birthday of Peter Kloeden Tomás Caraballo Garrido, Russell Johnson, José Real Anguas, Discrete and Continuous Dynamical Systems-Series B 2010 - 0
Asymptotic Behaviour of a Stochastic Semilinear Dissipative Functional Equation Without Uniqueness of Solutions , María José Garrido Atienza, Bjorn Schmalfuss, José Valero Cuadra, Discrete and Continuous Dynamical Systems-Series B 2010 - 13
Editorial [International Conference on Dynamical Systems and Multidisciplinary Applications] Francsico Balibrea, Tomás Caraballo, Peter Kloeden, José Valero, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2010 - 0
Recent Developments in Dynamical Systems: Three Perspectives Francisco Balibrea Gallego, Tomás Caraballo Garrido, Peter Eris Kloeden, José Valero Cuadra, International Journal of Bifurcation and Chaos 2010 - 17
Existence of Pullback Attractor for a Reaction-Diffusion equation in Some Unbounded Domains With Non-Autonomous Forcing term in $h^{-1}$ Maria Anguiano Moreno, Tomás Caraballo Garrido, José Real Anguas, International Journal of Bifurcation and Chaos 2010 - 5
Three Dimensional System of Globally Modified navier-Stokes Equations With Delay Tomás Caraballo Garrido, José Real Anguas, Antonio Miguel Márquez Durán, International Journal of Bifurcation and Chaos 2010 - 5
A Gradient-Like Non-Autonomous Evolution Process , Tomás Caraballo Garrido, Alexandre N. Carvalho, José Antonio Langa Rosado, Luis Felipe Rivero Garvía, Instituto de Ciencias Matemáticas e de Computaçao 2009 - 0
Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations Without Favard's Separation Condition. I Tomás Caraballo Garrido, David Cheban, Journal of Differential Equations 2009 - 28
Almost Periodic and Almost Automorphic Solutions of Linear Differential/Difference Equations Without Favard's Separation Condition. II Tomás Caraballo Garrido, David Cheban, Journal of Differential Equations 2009 - 8
Non-Autonomous Attractor for Integro-Differential Evolution Equations Tomás Caraballo Garrido, Peter Eris Kloeden, Discrete and Continuous Dynamical Systems-Series S 2009 - 28
Asymptotic Behaviour of the Three-Dimensional Á-Navier¿Stokes Model With Locally Lipschitz Delay Forcing Terms Tomás Caraballo Garrido, Antonio Miguel Márquez Durán, José Real Anguas, Nonlinear Analysis-Theory Methods & Applications 2009 - 2
Asymptotic Behaviour of the Three-Dimensional Alpha-Navier-Stokes Model With Delays Tomás Caraballo Garrido, Antonio Miguel Márquez Durán, José Real Anguas, Journal of Mathematical Analysis and Applications 2008 - 7
Pullback Attractors for Stochastic Heat Equations in Materials With Memory Tomás Caraballo Garrido, Igor Chueshov, José Real Anguas, Discrete and Continuous Dynamical Systems-Series B 2008 - 22
Non-Autonomous and Random Attractors for Delay Random Semilinear Equations Without Uniqueness Tomás Caraballo Garrido, María José Garrido Atienza, Bjorn Schmalfuss, José Valero Cuadra, Discrete and Continuous Dynamical Systems 2008 - 36
Synchronization of Systems With Multiplicative Noise Tomás Caraballo Garrido, Peter Eris Kloeden, A Neuenkirch, Stochastics and Dynamics 2008 - 7
Stabilisation of Differential Inclusions and Pdes Without Uniqueness by Noise Tomás Caraballo Garrido, José Antonio Langa Rosado, José Valero Cuadra, Communications on Pure and Applied Analysis 2008 - 0
Attractors for Stochastic Lattice Dynamical Systems With a Multiplicative Noise Tomás Caraballo Garrido, Kening Lu, Frontiers of Mathematics in China 2008 - 0
Invariant Measures and Statistical Solutions of the Globally Modified Navier-Stokes Equations Tomás Caraballo Garrido, Peter Eris Kloeden, José Real Anguas, Discrete and Continuous Dynamical Systems-Series B 2008 - 13
Method of Lyapunov Functionals Construction in Stability of Delay Evolution Equations Tomás Caraballo Garrido, José Real Anguas, Leonid Shaikhet, Journal of Mathematical Analysis and Applications 2007 - 25
Synchronization of a Stochastic Reaction-Diffusion System on a Thin Two-Layer Domain Tomás Caraballo Garrido, Igor Chueshov, Peter Eris Kloeden, Siam Journal on Mathematical Analysis 2007 - 0
The Effect of Noise on the Chafee-Infante Equation: a Nonlinear Case Study Tomás Caraballo Garrido, Hans Crauel, José Antonio Langa Rosado, James C. Robinson, Proceedings of the American Mathematical Society 2007 - 0
Preface: Special issue on nonautonomous, stochastic and Hamiltonian dynamical systems Tomás Caraballo, Amadeu Delshams, Ángel Jorba, Peter Kloeden, Rafael Obaya, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2007 - 0
Existence and Asymptotic Behaviour for Stochastic Heat Equations With Multiplicative Noise in Materials With Memory Tomás Caraballo Garrido, Igor Chueshov, Pedro Marín Rubio, José Real Anguas, Discrete and Continuous Dynamical Systems 2007 - 0
Existence of Exponentially Attracting Stationary Solutions for Delay Evolution Equations María José Garrido Atienza, , Bjorn Schmalfuss, Discrete and Continuous Dynamical Systems 2007 - 10
The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations Tomás Caraballo Garrido, José Real Anguas, Takeshi Taniguchi, Discrete and Continuous Dynamical Systems 2007 - 0
Numerical and Finite Delay Approximations of Attractors for Logistic Differential-Integral Equations With Infinite Delay Tomás Caraballo Garrido, Peter Eris Kloeden, Pedro Marín Rubio, Discrete and Continuous Dynamical Systems 2007 - 0
Attractors for Differential Equations With Unbounded Delays Tomás Caraballo Garrido, Pedro Marín Rubio, José Valero Cuadra, Journal of Differential Equations 2007 - 0


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Tesis dirigidas en el Programa de Doctorado en Matemáticas (9)

Juan Carlos Jara Pérez Caracterización de los atractores en sistemas dinámicos no autónomos
Eder Ritis Aragao Costo Descomposición de Morse para Sistemas Gradientes en Dimensión Infinita
Luis Felipe Rivero Garvia Atractores Pullback: Existencia y estructura para una ecuación de ondas con amortiguamiento no autónomo
Marta Herrera Cobos Comportamiento asintótico en tiempo de ecuaciones en derivadas parciales no locales
Javier López de la Cruz Sistemas dinámicos en modelos estocásticos con ruido fraccionario
Javier Alejandro Galadí García La teoría de la información integrada desde la perspectiva de la teoría de los sistemas dinámicos
Linfang Liu Analysis of infinite dimensional dynamical systems associated to functional differential equations
Alex Pereira da Silva Generation of groups of bounded operators on Fréchet spaces and dynamics of finite dimensional attractors
Maykel Boldrin Belluzi Pendiente de título