Edit Profile Caraballo Garrido, Tomás Compute Distance To: Compute Author ID: caraballo.tomas Published as: Caraballo, Tomás; Caraballo, T.; Caraballo, Tomas; Caraballo Garrido, Tomás; Garrido, Tomás Caraballo; Caraballo, Tomàs Homepage: http://personal.us.es/caraball/tcgpublic.html External Links: MGP · ORCID · dblp Documents Indexed: 246 Publications since 1988, including 3 Books Biographic References: 1 Publication all top 5 Co-Authors 10 single-authored 40 Langa, Jose’ Antonio 35 Real Anguas, José 33 Valero, José 30 Kloeden, Peter Eris 17 Garrido-Atienza, María José 16 Marín-Rubio, Pedro 13 Colucci, Renato 13 Han, Xiaoying 11 Schmalfuß, Björn 10 Marquez-Duran, Antonio M. 10 Nolasco de Carvalho, Alexandre 9 Cheban, David Nikolai 9 Diop, Mamadou Abdoul 7 Anguiano, María 7 Bortolan, Matheus Cheque 7 Herrera-Cobos, Marta 7 Liu, Linfang 7 Ouahab, Abdelghani 7 Robinson, James Cooper 6 Morillas, Francisco G. 6 Rivero, Felipe 5 Bonotto, Everaldo M. 5 Boudaoui, Ahmed 5 Collegari, Rodolfo 5 Hammami, Mohamed Ali 5 Liu, Kai 5 López-de-la-Cruz, Javier 5 Mchiri, Lassaad 5 Zhao, Caidi 4 Blouhi, Tayeb 4 Chueshov, Igor’ Dmitrievich 4 Guerrini, Luca 4 Łukaszewicz, Grzegorz 4 Nguyen Huy Tuan 4 Rapaport, Alain 4 Taniguchi, Takeshi 3 Aragão-Costa, Eder R. 3 Benhadri, Mimia 3 El Fatini, Mohamed 3 Kiss, Gabor 3 Ndiaye, Abdoul Aziz 3 Xu, Jiaohui 3 Zeghdoudi, Halim 2 Balibrea, Francisco 2 Cortés López, Juan Carlos 2 Fu, Xianlong 2 Jara, Juan C. 2 Lu, Kening 2 Mané, Aziz 2 Neuenkirch, Andreas 2 Ngoc, Tran Bao 2 Obaya, Rafael 2 Pettersson, Roger 2 Samprogna, Rodrigo 2 Shaikhet, Leonid Efimovich 2 Taki, Regragui 2 Zhang, Zhengce 1 Allognissode, Fulbert Kuessi 1 Asai, Yusuke 1 Bao, Ngoc Tran 1 Berrhazi, Badr-eddine 1 Brzeźniak, Zdzisław 1 Calatayud, Julia 1 Crauel, Hans 1 da Costa, Henrique B. 1 Da Silva, Alex Pereira 1 Duan, Jinqiao 1 Gameiro, Marcio F. 1 García Guirao, Juan Luis 1 Gentile Moussa, Cláudia B. 1 Graef, John R. 1 Grecksch, Wilfried 1 Grüne, Lars 1 Han, Xiuping 1 Jentzen, Arnulf 1 Jornet, Marc 1 Kapustyan, Oleksiy V. 1 Kasyanov, Pavlo O. 1 Keraani, Sami 1 Laaribi, Aziz 1 Li, Xiaodi 1 Li, Yanjiao 1 Liu, Zhenxin 1 Mao, Xuerong 1 Mchiri, Lassad 1 Melnik, Valery S. 1 Muñoz, Jaime 1 Navarro Quiles, Ana 1 Ogouyandjou, Carlos 1 Oliveira-Sousa, Alexandre N. 1 Pavani, Raffaella 1 Piña, Nicolas 1 Pinelas, Sandra 1 Rakkiyappan, Rajan 1 Rhaima, Mohamed 1 Rodrigues, Hildebrando Munhoz 1 Sanz, Ana M. 1 Schiabel, Karina 1 Sekkak, Idriss 1 Song, Zhongchun ...and 10 more Co-Authors all top 5 Serials 28 Discrete and Continuous Dynamical Systems. Series B 17 Journal of Differential Equations 15 Stochastic Analysis and Applications 14 Discrete and Continuous Dynamical Systems 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Communications on Pure and Applied Analysis 8 Journal of Mathematical Analysis and Applications 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Mathematical Methods in the Applied Sciences 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Stochastics and Dynamics 5 Discrete and Continuous Dynamical Systems. Series S 4 Nonlinearity 4 Journal of Difference Equations and Applications 4 Communications in Nonlinear Science and Numerical Simulation 4 Advanced Nonlinear Studies 3 Applied Mathematics and Optimization 3 Collectanea Mathematica 3 Proceedings of the American Mathematical Society 3 Systems & Control Letters 3 Journal of Dynamics and Differential Equations 3 Nonlinear Analysis. Real World Applications 3 Dynamics of Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Set-Valued Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Nonlinear Dynamics 2 International Journal of Mathematics, Game Theory and Algebra 2 Revista Matemática Complutense 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Frontiers of Mathematics in China 2 Applied Mathematics and Nonlinear Sciences 1 Applicable Analysis 1 International Journal of Control 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Mathematica Scandinavica 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Physica D 1 Applied Mathematics Letters 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Stochastics and Stochastics Reports 1 Journal of Partial Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Electronic Communications in Probability 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Fractional Calculus & Applied Analysis 1 The ANZIAM Journal 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamical Systems 1 Cubo Matemática Educacional 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Fixed Point Theory 1 Mediterranean Journal of Mathematics 1 Stochastics 1 Journal of Nonlinear Science and Applications 1 Journal of Numerical Mathematics and Stochastics 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Springer Proceedings in Mathematics & Statistics 1 Nonautonomous Dynamical Systems 1 SpringerBriefs in Mathematics all top 5 Fields 116 Partial differential equations (35-XX) 94 Probability theory and stochastic processes (60-XX) 91 Dynamical systems and ergodic theory (37-XX) 86 Ordinary differential equations (34-XX) 24 Biology and other natural sciences (92-XX) 23 Systems theory; control (93-XX) 20 Fluid mechanics (76-XX) 14 Operator theory (47-XX) 8 Difference and functional equations (39-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Mechanics of deformable solids (74-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 188 Publications have been cited 3,012 times in 1,397 Documents Cited by ▼ Year ▼ Pullback attractors for asymptotically compact non-autonomous dynamical systems. Zbl 1128.37019Caraballo, T.; Łukaszewicz, G.; Real, J. 198 2006 The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion. Zbl 1218.60053Caraballo, T.; Garrido-Atienza, M. J.; Taniguchi, T. 113 2011 Attractors for 2D-Navier-Stokes models with delays. Zbl 1068.35088Caraballo, T.; Real, J. 109 2004 Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. 83 2008 On the upper semicontinuity of cocycle attractors for non-autonomous and random dynamical systems. Zbl 1035.37013Caraballo, T.; Langa, J. A. 81 2003 Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Zbl 1018.37048Caraballo, T.; Langa, J. A.; Melnik, V. S.; Valero, J. 77 2003 Exponentially stable stationary solutions for stochastic evolution equations and their perturbation. Zbl 1066.60058Caraballo, Tomás; Kloeden, Peter E.; Schmalfuß, Björn 77 2004 Upper semicontinuity of attractors for small random perturbations of dynamical systems. Zbl 0917.35169Caraballo, Tomás; Langa, José A.; Robinson, James C. 63 1998 Pullback attractors for non-autonomous 2D-Navier–Stokes equations in some unbounded domains. Zbl 1085.37054Caraballo, Tomás; Łukaszewicz, Grzegorz; Real, José 62 2006 Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José 58 2010 Attractors for stochastic lattice dynamical systems with a multiplicative noise. Zbl 1155.60324Caraballo, Tomás; Lu, Kening 58 2008 Autonomous and non-autonomous attractors for differential equations with delays. Zbl 1074.34070Caraballo, T.; Marín-Rubio, P.; Valero, J. 54 2005 Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays. Zbl 1057.35027Caraballo, Tomás; Real, José 52 2003 Exponential stability of mild solutions of stochastic partial differential equations with delays. Zbl 0943.60050Caraballo, Tomás; Liu, Kai 50 1999 Recent developments in dynamical systems: three perspectives. Zbl 1202.37003Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. 50 2010 Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044Caraballo, T.; Real, J.; Chueshov, I. D. 49 2008 Navier-Stokes equations with delays. Zbl 1007.35062Caraballo, Tomás; Real, José 49 2001 A comparison between two theories for multi-valued semiflows and their asymptotic behaviour. Zbl 1053.47050Caraballo, T.; Marín-Rubio, P.; Robinson, J. C. 48 2003 Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031Caraballo, Tomás; Langa, José A.; Robinson, James C. 46 2000 A stochastic pitchfork bifurcation in a reaction-diffusion equation. Zbl 0996.60070Caraballo, Tomás; Langa, José A.; Robinson, James C. 41 2001 Asymptotic exponential stability of stochastic partial differential equations with delay. Zbl 0723.60074Caraballo, Tomás 40 1990 Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard’s separation condition. I. Zbl 1166.34021Caraballo, Tomás; Cheban, David 40 2009 Non-autonomous attractors for integro-differential evolution equations. Zbl 1185.45016Caraballo, Tomás; Kloeden, P. E. 37 2009 Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1248.37045Caraballo, Tomás; Morillas, F.; Valero, J. 36 2012 Pullback and forward attractors for a damped wave equation with delays. Zbl 1061.35153Caraballo, T.; Kloeden, P. E.; Real, J. 35 2004 Stochastic stabilization of differential systems with general decay rate. Zbl 1157.93537Caraballo, Tomás; Garrido-Atienza, María J.; Real, José 32 2003 Existence of pullback attractors for pullback asymptotically compact processes. Zbl 1195.34086Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe 31 2010 Stochastic functional partial differential equations: Existence, uniqueness and asymptotic decay property. Zbl 0972.60053Caraballo, Tomás; Liu, Kai; Truman, Aubrey 30 2000 Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain. Zbl 1125.37058Caraballo, Tomás; Chueshov, Igor D.; Kloeden, Peter E. 30 2007 Attractors for differential equations with variable delays. Zbl 0997.34073Caraballo, Tomás; Langa, José A.; Robinson, James C. 27 2001 Attractors for differential equations with unbounded delays. Zbl 1135.34040Caraballo, T.; Marín-Rubio, P.; Valero, J. 27 2007 On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations. Zbl 1149.35397Caraballo, Tomás; Real, José; Taniguchi, Takeshi 27 2006 The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations. Zbl 0990.35138Caraballo, Tomás; Langa, José A.; Taniguchi, Takeshi 27 2002 On exponential stability criteria of stochastic partial differential equations. Zbl 0997.60065Caraballo, Tomás; Liu, Kai 27 1999 Unique strong solutions and \(V\)-attractors of a three dimensional system of globally modified Navier-Stokes equations. Zbl 1220.35115Caraballo, Tomás; Real, José; Kloeden, Peter E. 26 2006 Method of Lyapunov functionals construction in stability of delay evolution equations. Zbl 1178.34087Caraballo, T.; Real, J.; Shaikhet, L. 25 2007 Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn 25 2010 On stabilization of partial differential equations by noise. Zbl 0986.60058Caraballo, Tomás; Liu, Kai; Mao, Xuerong 24 2001 Stability of gradient semigroups under perturbations. Zbl 1225.37018Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. 24 2011 Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard’s separation condition. II. Zbl 1166.34022Caraballo, Tomás; Cheban, David 23 2009 The persistence of synchronization under environmental noise. Zbl 1206.60054Caraballo, Tomás; Kloeden, Peter E. 22 2005 The effect of noise on the Chafee-Infante equation: a nonlinear case study. Zbl 1173.60022Caraballo, Tomás; Crauel, Hans; Langa, José A.; Robinson, James C. 22 2007 Global attractors for multivalued random dynamical systems. Zbl 1004.37035Caraballo, T.; Langa, J. A.; Valero, J. 22 2002 Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains. Zbl 1283.35075Brzeźniak, Z.; Caraballo, T.; Langa, J. A.; Li, Y.; Łukaszewicz, G.; Real, J. 21 2013 Partial differential equations with delayed random perturbations: Existence, uniqueness, and stability of solutions. Zbl 0790.60054Caraballo, Tomás; Real, José 20 1993 Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise. Zbl 0987.60074Caraballo, T.; Langa, J. A.; Valero, J. 20 2001 Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010Caraballo, T.; Morillas, F.; Valero, J. 20 2011 On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. Zbl 1323.34087Caraballo, Tomás; Morillas, Francisco; Valero, José 18 2014 Invariant measures and statistical solutions of the globally modified Navier-Stokes equations. Zbl 1187.35152Caraballo, Tomás; Kloeden, Peter E.; Real, José 18 2008 Applied nonautonomous and random dynamical systems. Applied dynamical systems. Zbl 1370.37001Caraballo, Tomás; Han, Xiaoying 18 2016 Weak pullback attractors of setvalued processes. Zbl 1044.93035Caraballo, T.; Kloeden, P. E.; Marín-Rubio, P. 17 2003 The asymptotic behaviour of a stochastic 3D LANS-\(\alpha\) model. Zbl 1097.60053Caraballo, Tomas; Marquez-Duran, Antonio M.; Real, Jose 17 2006 The dimension of attractors of nonautonomous partial differential equations. Zbl 1047.35024Caraballo, T.; Langa, J. A.; Valero, J. 16 2003 Pullback attractors for reaction-diffusion equations in some unbounded domains with an \(H^{-1}\)-valued non-autonomous forcing term and without uniqueness of solutions. Zbl 1197.35200Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 15 2010 Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion. Zbl 1279.60078Caraballo, Tomás; Diop, Mamadou Abdoul 15 2013 Existence and uniqueness of solutions for delay stochastic evolution equations. Zbl 1028.60056Caraballo, Tomás; Garrido-Atienza, María J.; Real, José 14 2002 Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations. Zbl 1071.35130Caraballo, Tomás; Chueshov, Igor; Langa, José A. 14 2005 Existence of exponentially attracting stationary solutions for delay evolution equations. Zbl 1125.60058Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B. 14 2007 Pullback and forward attractors for a 3D LANS-\(\alpha\) model with delay. Zbl 1119.35104Caraballo, T.; Márquez-Durán, A. M.; Real, José 14 2006 Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Zbl 1278.35136Caraballo, T.; Márquez-Durán, A. M. 14 2013 Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory. Zbl 1125.60057Caraballo, T.; Chueshov, I. D.; Marín-Rubio, P.; Real, J. 13 2007 \(H^{2}\)-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation. Zbl 1180.35117Anguiano, M.; Caraballo, T.; Real, J. 13 2010 Stabilisation of linear PDEs by Stratonovich noise. Zbl 1157.60332Caraballo, Tomás; Robinson, James C. 13 2004 Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José 13 2016 Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms. Zbl 1325.35087Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 12 2015 A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor. Zbl 1213.35121Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe 12 2011 Nonautonomous chemostats with variable delays. Zbl 1323.92155Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 12 2015 A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions. Zbl 1406.35221Caraballo, Tomás; Han, Xiaoying 12 2015 Skew product semiflows and Morse decomposition. Zbl 1371.37042Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. 11 2013 On the pathwise exponential stability of nonlinear stochastic partial differential equations. Zbl 0808.93069Caraballo, Tomás; Real, José 11 1994 On the decay rate of solutions of non-autonomous differential systems. Zbl 0971.34031Caraballo, Tomás 11 2001 Three-dimensional system of globally modified Navie-Stokes equations with delay. Zbl 1202.35153Caraballo, Tomás; Real, José; Márquez, Antonio M. 11 2010 Attractors for impulsive non-autonomous dynamical systems and their relations. Zbl 1362.35326Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R. 11 2017 Morse decomposition of attractors for non-autonomous dynamical systems. Zbl 1307.37009Caraballo, Tomás; Jara, Juan C.; Langa, José A. 11 2013 Non-autonomous Morse decomposition and Lyapunov functions for gradient-like processes. Zbl 1291.37002Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. 11 2013 Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051Zhao, Caidi; Caraballo, Tomás 11 2019 Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness. Zbl 1354.35060Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 10 2016 Chemostats with random inputs and wall growth. Zbl 1341.34053Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 10 2015 On the stability of impulsive functional differential equations with infinite delays. Zbl 1334.34163Li, Xiaodi; Caraballo, T.; Rakkiyappan, R.; Han, Xiuping 10 2015 Nonlinear partial functional differential equations: Existence and stability. Zbl 0991.35098Caraballo, Tomás 9 2001 Global and pullback attractors of set-valued skew product flows. Zbl 1115.37065Caraballo, T.; Kloeden, P. E.; Marín-Rubio, P. 9 2006 The pathwise numerical approximation of stationary solutions of semilinear stochastic evolution equations. Zbl 1113.60064Caraballo, T.; Kloeden, P. E. 9 2006 Asymptotic behaviour of the three-dimensional \(\alpha \)-Navier-Stokes model with delays. Zbl 1187.35151Caraballo, T.; Márquez-Durán, A. M.; Real, J. 9 2008 Existence of mild solutions to stochastic delay evolution equations with a fractional Brownian motion and impulses. Zbl 1327.35460Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani 9 2015 Global attractor for a non-autonomous integro-differential equation in materials with memory. Zbl 1194.35071Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J. 9 2010 Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations. Zbl 1375.37106Caraballo, T.; Langa, J. A.; Obaya, R. 9 2017 Global attractor for a nonlocal \(p\)-Laplacian equation without uniqueness of solution. Zbl 1359.35014Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 9 2017 Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing. Zbl 1342.35405Caraballo, Tomás; Colucci, Renato; Han, Xiaoying 8 2016 Stability results for 2D Navier-Stokes equations with unbounded delay. Zbl 1403.35206Liu, Linfang; Caraballo, Tomás; Marín-Rubio, Pedro 8 2018 Dynamics of some stochastic chemostat models with multiplicative noise. Zbl 1367.34056Caraballo, Tomás; Garrido-Atienza, María J.; López-de-la-Cruz, J. 8 2017 Impulsive non-autonomous dynamical systems and impulsive cocycle attractors. Zbl 1372.35350Bonotto, Everaldo M.; Bortolan, Matheus C.; Caraballo, Tomás; Collegari, Rodolfo 7 2017 Asymptotic stability of nonlinear stochastic evolution equations. Zbl 1055.60065Caraballo, Tomás; Garrido-Atienza, María J.; Real, José 7 2003 Asymptotic behaviour of monotone multi-valued dynamical systems. Zbl 1086.37042Caraballo, T.; Langa, J. A.; Valero, J. 7 2005 Synchronization of systems with multiplicative noise. Zbl 1149.60036Caraballo, Tomás; Kloeden, Peter E.; Neuenkirch, Andreas 7 2008 Predation with indirect effects in fluctuating environments. Zbl 1354.37092Caraballo, Tomás; Colucci, Renato; Han, Xiaoying 7 2016 Well-posedness and dynamics of a fractional stochastic integro-differential equation. Zbl 1378.37091Liu, Linfang; Caraballo, Tomás 7 2017 Existence of pullback attractor for a reaction – diffusion equation in some unbounded domains with non-autonomous forcing term in \(H^{-1}\). Zbl 1202.35034Anguiano, María; Caraballo, Tomás; Real, José 7 2010 Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay. Zbl 1356.34079Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani 7 2016 A stochastic SIRI epidemic model with Lévy noise. Zbl 1404.92171Berrhazi, Badr-eddine; Fatini, Mohamed El; Caraballo, Tomás; Pettersson, Roger 7 2018 Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup. Zbl 1271.37019Aragão-Costa, Eder R.; Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A. 7 2012 Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás 6 2020 Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás 4 2020 Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. Zbl 1436.35048Caraballo, Tomás; Langa, José A.; Valero, José 2 2020 A free boundary tumor model with time dependent nutritional supply. Zbl 1433.35431Sun, Wenlong; Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 1 2020 Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc 1 2020 Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262Wang, Jintao; Zhao, Caidi; Caraballo, Tomás 1 2020 A stochastic threshold for an epidemic model with isolation and a non linear incidence. Zbl 1435.92068Caraballo, Tomás; Fatini, Mohamed El; Sekkak, Idriss; Taki, Regragui; Laaribi, Aziz 1 2020 Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051Zhao, Caidi; Caraballo, Tomás 11 2019 Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. Zbl 1428.34123Caraballo, Tomás; Cortés, J.-C.; Navarro-Quiles, A. 4 2019 Modeling and analysis of random and stochastic input flows in the chemostat model. Zbl 1421.37036Caraballo, Tomás; Garrido-Atienza, Maria-José; López-de-la-Cruz, Javier; Rapaport, Alain 4 2019 Analysis of a stochastic \(2D\)-Navier-Stokes model with infinite delay. Zbl 1427.35182Liu, Linfang; Caraballo, Tomás 3 2019 Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion. Zbl 1430.34074Blouhi, T.; Caraballo, T.; Ouahab, A. 2 2019 Stability results for 2D Navier-Stokes equations with unbounded delay. Zbl 1403.35206Liu, Linfang; Caraballo, Tomás; Marín-Rubio, Pedro 8 2018 A stochastic SIRI epidemic model with Lévy noise. Zbl 1404.92171Berrhazi, Badr-eddine; Fatini, Mohamed El; Caraballo, Tomás; Pettersson, Roger 7 2018 A stochastic SIRI epidemic model with relapse and media coverage. Zbl 1404.92172Caraballo, Tomás; El Fatini, Mohamed; Pettersson, Roger; Taki, Regragui 5 2018 Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent. Zbl 1400.37100Caraballo, Tomás; Langa, José A.; Obaya, Rafael; Sanz, Ana M. 3 2018 On a predator prey model with nonlinear harvesting and distributed delay. Zbl 1394.92104Caraballo, Tomás; Colucci, Renato; Guerrini, Luca 2 2018 Pullback attractor for a dynamic boundary non-autonomous problem with infinite delay. Zbl 1415.35058Samprogna, Rodrigo; Caraballo, Tomás 2 2018 Analysis of a stochastic SIR model with fractional Brownian motion. Zbl 1407.92125Caraballo, Tomás; Keraani, Sami 1 2018 Robustness of time-dependent attractors in \(H^1\)-norm for nonlocal problems. Zbl 1415.35056Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 1 2018 Attractors for impulsive non-autonomous dynamical systems and their relations. Zbl 1362.35326Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R. 11 2017 Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations. Zbl 1375.37106Caraballo, T.; Langa, J. A.; Obaya, R. 9 2017 Global attractor for a nonlocal \(p\)-Laplacian equation without uniqueness of solution. Zbl 1359.35014Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 9 2017 Dynamics of some stochastic chemostat models with multiplicative noise. Zbl 1367.34056Caraballo, Tomás; Garrido-Atienza, María J.; López-de-la-Cruz, J. 8 2017 Impulsive non-autonomous dynamical systems and impulsive cocycle attractors. Zbl 1372.35350Bonotto, Everaldo M.; Bortolan, Matheus C.; Caraballo, Tomás; Collegari, Rodolfo 7 2017 Well-posedness and dynamics of a fractional stochastic integro-differential equation. Zbl 1378.37091Liu, Linfang; Caraballo, Tomás 7 2017 Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces. Zbl 1457.37096Sonner, Stefanie; Caraballo, Tomás 6 2017 Practical exponential stability of impulsive stochastic functional differential equations. Zbl 1377.93167Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad 6 2017 A comparison between random and stochastic modeling for a SIR model. Zbl 1367.34055Caraballo, Tomás; Colucci, Renato 5 2017 Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic. Zbl 1366.35233Rivero, Felipe; Márquez-Durán, Antonio M.; Caraballo, Tomás 5 2017 An iterative method for non-autonomous nonlocal reaction-diffusion equations. Zbl 1375.35249Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 3 2017 Attractors for a random evolution equation with infinite memory: theoretical results. Zbl 1359.60080Valero, José; Schmalfuß, Björn; Garrido-Atienza, María J.; Caraballo, Tomás 3 2017 Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion. Zbl 1370.34137Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani 3 2017 Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay. Zbl 1382.35229Liu, Linfang; Caraballo, Tomás; Fu, Xianlong 2 2017 Dynamics of a class of ODEs via wavelets. Zbl 1398.34087Rodrigues, Hildebrando M.; Caraballo, Tomás; Gameiro, Marcio 1 2017 A qualitative description of microstructure formation and coarsening phenomena for an evolution equation. Zbl 1375.35038Caraballo, Tomás; Colucci, Renato 1 2017 Applied nonautonomous and random dynamical systems. Applied dynamical systems. Zbl 1370.37001Caraballo, Tomás; Han, Xiaoying 18 2016 Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José 13 2016 Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness. Zbl 1354.35060Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 10 2016 Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing. Zbl 1342.35405Caraballo, Tomás; Colucci, Renato; Han, Xiaoying 8 2016 Predation with indirect effects in fluctuating environments. Zbl 1354.37092Caraballo, Tomás; Colucci, Renato; Han, Xiaoying 7 2016 Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay. Zbl 1356.34079Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani 7 2016 Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay. Zbl 1338.34154Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani 6 2016 Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Zbl 1346.35015Caraballo, T.; Langa, J. A.; Valero, J. 6 2016 Some aspects concerning the dynamics of stochastic chemostats. Zbl 1360.92075Caraballo, Tomás; Garrido-Atienza, María J.; López-de-la-Cruz, Javier 4 2016 On the practical global uniform asymptotic stability of stochastic differential equations. Zbl 1337.60117Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad 4 2016 Semi-Kolmogorov models for predation with indirect effects in random environments. Zbl 1347.92060Caraballo, Tomás; Colucci, Renato; Han, Xiaoying 4 2016 Equi-attraction and continuity of attractors for skew-product semiflows. Zbl 1368.37022Caraballo, Tomás; Carvalho, Alexandre N.; da Costa, Henrique B.; Langa, José A. 3 2016 Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion. Zbl 1380.34091Blouhi, T.; Caraballo, T.; Ouahab, A. 2 2016 Impulsive surfaces on dynamical systems. Zbl 1399.53006Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R. 2 2016 Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations. Zbl 1348.60091Abdoul Diop, Mamadou; Caraballo, Tomás; Mané, Aziz 2 2016 A nonclassical and nonautonomous diffusion equation containing infinite delays. Zbl 1353.35309Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe 2 2016 Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays. Zbl 1351.93164Diop, Mamadou Abdoul; Caraballo, Tomás; Zene, Mahamat Mahamat 1 2016 Controllability for neutral stochastic functional integrodifferential equations with infinite delay. Zbl 1386.93265Caraballo, Tomás; Abdoul Diop, Mamadou; Mane, Aziz 1 2016 Practical stability of stochastic delay evolution equations. Zbl 1335.60105Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassad 1 2016 Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms. Zbl 1325.35087Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro 12 2015 Nonautonomous chemostats with variable delays. Zbl 1323.92155Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 12 2015 A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions. Zbl 1406.35221Caraballo, Tomás; Han, Xiaoying 12 2015 Chemostats with random inputs and wall growth. Zbl 1341.34053Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 10 2015 On the stability of impulsive functional differential equations with infinite delays. Zbl 1334.34163Li, Xiaodi; Caraballo, T.; Rakkiyappan, R.; Han, Xiuping 10 2015 Existence of mild solutions to stochastic delay evolution equations with a fractional Brownian motion and impulses. Zbl 1327.35460Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani 9 2015 Well-posedness and asymptotic behavior of a nonclassical nonautonomous diffusion equation with delay. Zbl 1334.35373Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe 6 2015 Dynamics of nonautonomous chemostat models. Zbl 1335.92062Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.; Rapaport, Alain 5 2015 Asymptotic stability of neutral stochastic functional integro-differential equations with impulses. Zbl 1308.93212Diop, Mamadou Abdoul; Caraballo, Tomàs 4 2015 Practical exponential stability in mean square of stochastic partial differential equations. Zbl 1311.93083Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad 3 2015 Morse decomposition of global attractors with infinite components. Zbl 1366.37030Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Valero, José 3 2015 Exponential behavior of solutions to stochastic integrodifferential equations with distributed delays. Zbl 1316.60092Diop, Mamadou Abdoul; Caraballo, Tomás; Ndiaye, Abdoul Aziz 2 2015 Attractors for non-autonomous retarded lattice dynamical systems. Zbl 1329.34119Caraballo, Tomás; Morillas, Francisco; Valero, José 1 2015 On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. Zbl 1323.34087Caraballo, Tomás; Morillas, Francisco; Valero, José 18 2014 Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion. Zbl 1322.60103Caraballo, Tomás; Diop, Mamadou Abdoul; Ndiaye, Abdoul Aziz 5 2014 Practical asymptotic stability of nonlinear stochastic evolution equations. Zbl 1287.93104Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad 5 2014 Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236Caraballo, Tomás; Han, Xiaoying 4 2014 Asymptotic behaviour of a logistic lattice system. Zbl 1334.34032Caraballo, Tomás; Morillas, Francisco; Valero, José 4 2014 Stability of delay evolution equations with stochastic perturbations. Zbl 1316.60104Caraballo, Tomás; Shaikhet, Leonid 4 2014 Pullback attractor for a non-linear evolution equation in elasticity. Zbl 1295.35112Caraballo, Tomás; Colucci, Renato 4 2014 Asymptotic behaviour of a non-autonomous Lorenz-84 system. Zbl 1351.37075Anguiano, María; Caraballo, Tomás 1 2014 Existence results for time-dependent stochastic neutral functional integrodifferential equations driven by a fractional Brownian motion. Zbl 1360.45013Caraballo, T.; Diop, M. A.; Ndiaye, A. A. 1 2014 Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains. Zbl 1283.35075Brzeźniak, Z.; Caraballo, T.; Langa, J. A.; Li, Y.; Łukaszewicz, G.; Real, J. 21 2013 Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion. Zbl 1279.60078Caraballo, Tomás; Diop, Mamadou Abdoul 15 2013 Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Zbl 1278.35136Caraballo, T.; Márquez-Durán, A. M. 14 2013 Skew product semiflows and Morse decomposition. Zbl 1371.37042Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. 11 2013 Morse decomposition of attractors for non-autonomous dynamical systems. Zbl 1307.37009Caraballo, Tomás; Jara, Juan C.; Langa, José A. 11 2013 Non-autonomous Morse decomposition and Lyapunov functions for gradient-like processes. Zbl 1291.37002Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. 11 2013 The three-dimensional globally modified Navier-Stokes equations: recent developments. Zbl 1317.76030Caraballo, T.; Kloeden, P. E. 5 2013 Attractors for differential equations with multiple variable delays. Zbl 1316.37017Caraballo, Tomás; Kiss, Gábor 4 2013 Almost periodic motions in semi-group dynamical systems and Bohr/Levitan almost periodic solutions of linear difference equations without Favard’s separation condition. Zbl 1276.39009Caraballo, Tomás; Cheban, David 3 2013 Almost periodic and almost automorphic solutions of linear differential equations. Zbl 1268.37007Caraballo, Tomás; Cheban, David 3 2013 Pullback attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1320.34088Caraballo, Tomás; Morillas, Francisco; Valero, José 2 2013 Pullback attractors for nonautonomous dynamical systems. Zbl 1332.37056Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 1 2013 Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. Zbl 1270.34178Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 1 2013 Attractivity for neutral functional differential equations. Zbl 1308.34097Caraballo, Tomás; Kiss, Gábor 1 2013 Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1248.37045Caraballo, Tomás; Morillas, F.; Valero, J. 36 2012 Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup. Zbl 1271.37019Aragão-Costa, Eder R.; Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A. 7 2012 Gradient infinite-dimensional random dynamical systems. Zbl 1260.37054Caraballo, Tomás; Langa, José A.; Liu, Zhenxin 3 2012 On the structure of the global attractor for non-autonomous dynamical systems with weak convergence. Zbl 1273.34063Caraballo, Tomás; Cheban, David 2 2012 An estimate on the fractal dimension of attractors of gradient-like dynamical systems. Zbl 1248.37020Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. 1 2012 The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion. Zbl 1218.60053Caraballo, T.; Garrido-Atienza, M. J.; Taniguchi, T. 113 2011 Stability of gradient semigroups under perturbations. Zbl 1225.37018Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. 24 2011 Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010Caraballo, T.; Morillas, F.; Valero, J. 20 2011 A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor. Zbl 1213.35121Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe 12 2011 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,220 Authors 131 Caraballo Garrido, Tomás 58 Kloeden, Peter Eris 51 Wang, Bixiang 50 Valero, José 46 Langa, Jose’ Antonio 45 Li, Yangrong 37 Zhou, Shengfan 35 Real Anguas, José 32 Marín-Rubio, Pedro 29 Han, Xiaoying 28 Tachim Medjo, Theodore 28 Wang, Yejuan 27 Zhao, Caidi 25 Duan, Jinqiao 24 Garrido-Atienza, María José 24 Lu, Kening 23 Schmalfuß, Björn 20 Gu, Anhui 20 Nolasco de Carvalho, Alexandre 17 Łukaszewicz, Grzegorz 17 Sun, Chunyou 17 Wang, Renhai 16 Kapustyan, Oleksiy V. 16 Li, Desheng 16 Li, Dingshi 15 Cui, Hongyong 15 Cung The Anh 15 Kasyanov, Pavlo O. 15 Ren, Yong 14 Mao, Xuerong 14 Robinson, James Cooper 14 Simsen, Jacson 13 Anguiano, María 13 Cheban, David Nikolai 13 Colucci, Renato 13 Diop, Mamadou Abdoul 12 Deugoue, Gabriel 12 Sakthivel, Rathinasamy 12 Wang, Xiaohu 12 Wang, Zhaojuan 12 Yang, Meihua 11 Bortolan, Matheus Cheque 11 Liu, Kai 11 Liu, Linfang 11 Luo, Jiaowan 10 Yang, Xinguang 9 Obaya, Rafael 9 Sango, Mamadou 9 Shi, Lin 9 Taniguchi, Takeshi 9 Yin, Jinyan 8 Bonotto, Everaldo M. 8 El Fatini, Mohamed 8 Fu, Xianlong 8 García-Luengo, Julia 8 Gorban, Nataliia V. 8 Huang, Jianhua 8 Kalita, Piotr 8 Li, Zhi 8 Liu, Xianming 8 Morillas, Francisco G. 8 Razafimandimby, Paul André 8 Rivero, Felipe 8 You, Bo 8 You, Yuncheng 8 Zhou, Feng 8 Zhu, Kaixuan 7 Chen, Huabin 7 Gess, Benjamin 7 Hammami, Mohamed Ali 7 Li, Fang 7 Li, Fuzhi 7 Palamarchuk, E. S. 7 Simsen, Mariza Stefanello 7 Wu, Fuke 7 Yang, Shuang 7 Zhang, Fanghong 7 Zhao, Wenqiang 7 Zhong, Chengkui 6 Bates, Peter W. 6 Bessaih, Hakima 6 Bezerra, Flank David Morais 6 Boudaoui, Ahmed 6 Ding, Xiaoquan 6 Ju, Xuewei 6 Li, Xiaodi 6 Mchiri, Lassaad 6 Park, Jong Yeoul 6 Shu, Ji 6 Wang, Wei 6 Wang, Yonghai 6 Xie, Yongqin 6 Zhao, Huaizhong 5 Abdallah, Ahmed Y. 5 Balibrea, Francisco 5 Bao, Jianhai 5 Blouhi, Tayeb 5 Brzeźniak, Zdzisław 5 Cao, Junfei 5 Chen, Zhang ...and 1,120 more Authors all top 5 Cited in 207 Serials 102 Journal of Differential Equations 98 Discrete and Continuous Dynamical Systems. Series B 91 Nonlinear Analysis. Theory, Methods & Applications. 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