## Caraballo Garrido, Tomás

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 Author ID: caraballo.tomas Published as: Caraballo, Tomás; Caraballo, T.; Caraballo, Tomas; Caraballo Garrido, Tomás; Garrido, Tomás Caraballo; Caraballo, Tomàs more...less Homepage: http://personal.us.es/caraball/tcgpublic.html External Links: MGP · ORCID · dblp
 Documents Indexed: 275 Publications since 1988, including 1 Book 7 Contributions as Editor Biographic References: 1 Publication Co-Authors: 137 Co-Authors with 271 Joint Publications 3,014 Co-Co-Authors
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### Co-Authors

 11 single-authored 40 Langa, Jose’ Antonio 35 Real Anguas, José 34 Valero, José 30 Kloeden, Peter Eris 17 Garrido-Atienza, María José 16 Marín-Rubio, Pedro 14 Colucci, Renato 13 Han, Xiaoying 12 Schmalfuß, Björn 11 Marquez-Duran, Antonio M. 10 Nolasco de Carvalho, Alexandre 9 Cheban, David Nikolai 9 Diop, Mamadou Abdoul 9 Hammami, Mohamed Ali 9 Nguyen Huy Tuan 8 López-de-la-Cruz, Javier 8 Mchiri, Lassaad 7 Anguiano, María 7 Bortolan, Matheus Cheque 7 Herrera-Cobos, Marta 7 Liu, Linfang 7 Ouahab, Abdelghani 7 Robinson, James Cooper 7 Zhao, Caidi 6 Boudaoui, Ahmed 6 El Fatini, Mohamed 6 Morillas, Francisco G. 6 Rapaport, Alain 6 Rivero, Felipe 6 Xu, Jiaohui 5 Bonotto, Everaldo M. 5 Collegari, Rodolfo 5 Liu, Kai 4 Benhadri, Mimia 4 Blouhi, Tayeb 4 Chueshov, Igor’ Dmitrievich 4 Guerrini, Luca 4 Łukaszewicz, Grzegorz 4 Taniguchi, Takeshi 4 Wang, Yejuan 3 Aragão-Costa, Eder R. 3 Ezzine, Faten 3 Kiss, Gabor 3 Ndiaye, Abdoul Aziz 3 Ngoc, Tran Bao 3 Pettersson, Roger 3 Rhaima, Mohamed 3 Schiabel, Karina 3 Shaikhet, Leonid Efimovich 3 Thach, Tran Ngoc 3 Zeghdoudi, Halim 3 Zhang, Zhengce 2 Balibrea, Francisco 2 Belluzi, Maykel 2 Cortés López, Juan Carlos 2 Duan, Jinqiao 2 El Khalifi, Mohamed 2 Fu, Xianlong 2 Jara, Juan C. 2 Lu, Kening 2 Mané, Aziz 2 Nascimento, Marcelo Jose Dias 2 Neuenkirch, Andreas 2 Obaya, Rafael 2 Piña, Nicolas 2 Samprogna, Rodrigo A. 2 Taki, Regragui 2 Wang, Jintao 2 Wang, Renhai 1 Allognissode, Fulbert Kuessi 1 Asai, Yusuke 1 Au, Vo Van 1 Bao, Ngoc Tran 1 Belfeki, Mohsen 1 Berrhazi, Badreddine 1 Boukanjime, Brahim 1 Brzeźniak, Zdzisław 1 Calatayud, Julia 1 Chen, Huabin 1 Crauel, Hans 1 da Costa, Henrique B. 1 Da Silva, Alex Pereira 1 El-Bagoury, Abd Al-Aziz Hosni 1 Gameiro, Marcio F. 1 García Guirao, Juan Luis 1 Gentile Moussa, Cláudia B. 1 Gerlach, Richard H. 1 Graef, John R. 1 Grecksch, Wilfried 1 Grüne, Lars 1 Guo, Boling 1 Han, Xiuping 1 Imlahi, Abdelouahid 1 Jentzen, Arnulf 1 Jiang, Huite 1 Jornet, Marc 1 Kapustyan, Oleksiy V. 1 Kasyanov, Pavlo O. 1 Keraani, Sami 1 Laaribi, Aziz ...and 37 more Co-Authors
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### Serials

 30 Discrete and Continuous Dynamical Systems. Series B 20 Journal of Differential Equations 16 Stochastic Analysis and Applications 14 Discrete and Continuous Dynamical Systems 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Stochastics and Dynamics 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 6 Communications in Nonlinear Science and Numerical Simulation 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Dynamics and Differential Equations 4 Nonlinearity 4 Applied Mathematics and Optimization 4 Journal of Difference Equations and Applications 4 Advanced Nonlinear Studies 3 Chaos, Solitons and Fractals 3 Collectanea Mathematica 3 Proceedings of the American Mathematical Society 3 Systems & Control Letters 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Nonlinear Analysis. Real World Applications 3 Dynamics of Partial Differential Equations 2 International Journal of Control 2 Applied Mathematics and Computation 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 Journal of Evolution Equations 2 Stochastics 2 Frontiers of Mathematics in China 2 Applied Mathematics and Nonlinear Sciences 2 AIMS Mathematics 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Physica A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Communications in Statistics. Theory and Methods 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 Journal of Dynamical and Control Systems 1 The ANZIAM Journal 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamical Systems 1 Stochastic Models 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 Mathematical Biosciences and Engineering 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
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### Fields

 135 Partial differential equations (35-XX) 108 Probability theory and stochastic processes (60-XX) 99 Dynamical systems and ergodic theory (37-XX) 95 Ordinary differential equations (34-XX) 27 Biology and other natural sciences (92-XX) 26 Systems theory; control (93-XX) 22 Fluid mechanics (76-XX) 17 Operator theory (47-XX) 8 Difference and functional equations (39-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Real functions (26-XX) 5 Numerical analysis (65-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

218 Publications have been cited 3,747 times in 1,738 Documents Cited by Year
Pullback attractors for asymptotically compact non-autonomous dynamical systems. Zbl 1128.37019
Caraballo, T.; Łukaszewicz, G.; Real, J.
2006
The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion. Zbl 1218.60053
Caraballo, T.; Garrido-Atienza, M. J.; Taniguchi, T.
2011
Attractors for 2D-Navier-Stokes models with delays. Zbl 1068.35088
Caraballo, T.; Real, J.
2004
Exponentially stable stationary solutions for stochastic evolution equations and their perturbation. Zbl 1066.60058
Caraballo, Tomás; Kloeden, Peter E.; Schmalfuß, Björn
2004
Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J.
2008
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Zbl 1018.37048
Caraballo, T.; Langa, J. A.; Melnik, V. S.; Valero, J.
2003
On the upper semicontinuity of cocycle attractors for non-autonomous and random dynamical systems. Zbl 1035.37013
Caraballo, T.; Langa, J. A.
2003
Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063
Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José
2010
Upper semicontinuity of attractors for small random perturbations of dynamical systems. Zbl 0917.35169
Caraballo, Tomás; Langa, José A.; Robinson, James C.
1998
Pullback attractors for non-autonomous 2D-Navier–Stokes equations in some unbounded domains. Zbl 1085.37054
Caraballo, Tomás; Łukaszewicz, Grzegorz; Real, José
2006
Attractors for stochastic lattice dynamical systems with a multiplicative noise. Zbl 1155.60324
Caraballo, Tomás; Lu, Kening
2008
Autonomous and non-autonomous attractors for differential equations with delays. Zbl 1074.34070
Caraballo, T.; Marín-Rubio, P.; Valero, J.
2005
Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays. Zbl 1057.35027
Caraballo, Tomás; Real, José
2003
Exponential stability of mild solutions of stochastic partial differential equations with delays. Zbl 0943.60050
Caraballo, Tomás; Liu, Kai
1999
Navier-Stokes equations with delays. Zbl 1007.35062
Caraballo, Tomás; Real, José
2001
Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044
Caraballo, T.; Real, J.; Chueshov, I. D.
2008
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
2010
A comparison between two theories for multi-valued semiflows and their asymptotic behaviour. Zbl 1053.47050
Caraballo, T.; Marín-Rubio, P.; Robinson, J. C.
2003
Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031
Caraballo, Tomás; Langa, José A.; Robinson, James C.
2000
Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1248.37045
Caraballo, Tomás; Morillas, F.; Valero, J.
2012
A stochastic pitchfork bifurcation in a reaction-diffusion equation. Zbl 0996.60070
Caraballo, Tomás; Langa, José A.; Robinson, James C.
2001
Asymptotic exponential stability of stochastic partial differential equations with delay. Zbl 0723.60074
Caraballo, Tomás
1990
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard’s separation condition. I. Zbl 1166.34021
Caraballo, Tomás; Cheban, David
2009
Non-autonomous attractors for integro-differential evolution equations. Zbl 1185.45016
Caraballo, Tomás; Kloeden, P. E.
2009
Stochastic stabilization of differential systems with general decay rate. Zbl 1157.93537
Caraballo, Tomás; Garrido-Atienza, María J.; Real, José
2003
Pullback and forward attractors for a damped wave equation with delays. Zbl 1061.35153
Caraballo, T.; Kloeden, P. E.; Real, J.
2004
Existence of pullback attractors for pullback asymptotically compact processes. Zbl 1195.34086
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe
2010
On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations. Zbl 1149.35397
Caraballo, Tomás; Real, José; Taniguchi, Takeshi
2006
Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain. Zbl 1125.37058
Caraballo, Tomás; Chueshov, Igor D.; Kloeden, Peter E.
2007
The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations. Zbl 0990.35138
Caraballo, Tomás; Langa, José A.; Taniguchi, Takeshi
2002
Stochastic functional partial differential equations: Existence, uniqueness and asymptotic decay property. Zbl 0972.60053
Caraballo, Tomás; Liu, Kai; Truman, Aubrey
2000
Method of Lyapunov functionals construction in stability of delay evolution equations. Zbl 1178.34087
Caraballo, T.; Real, J.; Shaikhet, L.
2007
Unique strong solutions and $$V$$-attractors of a three dimensional system of globally modified Navier-Stokes equations. Zbl 1220.35115
Caraballo, Tomás; Real, José; Kloeden, Peter E.
2006
Attractors for differential equations with variable delays. Zbl 0997.34073
Caraballo, Tomás; Langa, José A.; Robinson, James C.
2001
Attractors for differential equations with unbounded delays. Zbl 1135.34040
Caraballo, T.; Marín-Rubio, P.; Valero, J.
2007
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Applied nonautonomous and random dynamical systems. Applied dynamical systems. Zbl 1370.37001
Caraballo, Tomás; Han, Xiaoying
2016
On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. Zbl 1323.34087
Caraballo, Tomás; Morillas, Francisco; Valero, José
2014
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains. Zbl 1283.35075
Brzeźniak, Z.; Caraballo, T.; Langa, J. A.; Li, Y.; Łukaszewicz, G.; Real, J.
2013
On exponential stability criteria of stochastic partial differential equations. Zbl 0997.60065
Caraballo, Tomás; Liu, Kai
1999
The persistence of synchronization under environmental noise. Zbl 1206.60054
Caraballo, Tomás; Kloeden, Peter E.
2005
On stabilization of partial differential equations by noise. Zbl 0986.60058
Caraballo, Tomás; Liu, Kai; Mao, Xuerong
2001
Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010
Caraballo, T.; Morillas, F.; Valero, J.
2011
Stability of gradient semigroups under perturbations. Zbl 1225.37018
Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
2011
Global attractors for multivalued random dynamical systems. Zbl 1004.37035
Caraballo, T.; Langa, J. A.; Valero, J.
2002
Invariant measures and statistical solutions of the globally modified Navier-Stokes equations. Zbl 1187.35152
Caraballo, Tomás; Kloeden, Peter E.; Real, José
2008
Partial differential equations with delayed random perturbations: Existence, uniqueness, and stability of solutions. Zbl 0790.60054
Caraballo, Tomás; Real, José
1993
The effect of noise on the Chafee-Infante equation: a nonlinear case study. Zbl 1173.60022
Caraballo, Tomás; Crauel, Hans; Langa, José A.; Robinson, James C.
2007
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard’s separation condition. II. Zbl 1166.34022
Caraballo, Tomás; Cheban, David
2009
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208
Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José
2016
Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise. Zbl 0987.60074
Caraballo, T.; Langa, J. A.; Valero, J.
2001
The asymptotic behaviour of a stochastic 3D LANS-$$\alpha$$ model. Zbl 1097.60053
Caraballo, Tomas; Marquez-Duran, Antonio M.; Real, Jose
2006
Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion. Zbl 1279.60078
2013
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Zbl 1278.35136
Caraballo, T.; Márquez-Durán, A. M.
2013
A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions. Zbl 1406.35221
Caraballo, Tomás; Han, Xiaoying
2015
Existence of mild solutions to stochastic delay evolution equations with a fractional Brownian motion and impulses. Zbl 1327.35460
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani
2015
A stochastic SIRI epidemic model with relapse and media coverage. Zbl 1404.92172
Caraballo, Tomás; El Fatini, Mohamed; Pettersson, Roger; Taki, Regragui
2018
Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051
Zhao, Caidi; Caraballo, Tomás
2019
Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations. Zbl 1071.35130
Caraballo, Tomás; Chueshov, Igor; Langa, José A.
2005
Weak pullback attractors of setvalued processes. Zbl 1044.93035
Caraballo, T.; Kloeden, P. E.; Marín-Rubio, P.
2003
A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor. Zbl 1213.35121
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe
2011
On the stability of impulsive functional differential equations with infinite delays. Zbl 1334.34163
Li, Xiaodi; Caraballo, T.; Rakkiyappan, R.; Han, Xiuping
2015
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms. Zbl 1325.35087
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2015
Existence and uniqueness of solutions for delay stochastic evolution equations. Zbl 1028.60056
Caraballo, Tomás; Garrido-Atienza, María J.; Real, José
2002
Three-dimensional system of globally modified Navie-Stokes equations with delay. Zbl 1202.35153
Caraballo, Tomás; Real, José; Márquez, Antonio M.
2010
Pullback and forward attractors for a 3D LANS-$$\alpha$$ model with delay. Zbl 1119.35104
Caraballo, T.; Márquez-Durán, A. M.; Real, José
2006
The dimension of attractors of nonautonomous partial differential equations. Zbl 1047.35024
Caraballo, T.; Langa, J. A.; Valero, J.
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 1197.35200
Anguiano, María; Caraballo, Tomás; Real, José; Valero, José
2010
A stochastic SIRI epidemic model with Lévy noise. Zbl 1404.92171
2018
Stabilisation of linear PDEs by Stratonovich noise. Zbl 1157.60332
Caraballo, Tomás; Robinson, James C.
2004
Existence of exponentially attracting stationary solutions for delay evolution equations. Zbl 1125.60058
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.
2007
Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay. Zbl 1356.34079
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani
2016
Nonautonomous chemostats with variable delays. Zbl 1323.92155
Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.
2015
Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory. Zbl 1125.60057
Caraballo, T.; Chueshov, I. D.; Marín-Rubio, P.; Real, J.
2007
Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness. Zbl 1354.35060
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2016
Global attractor for a nonlocal $$p$$-Laplacian equation without uniqueness of solution. Zbl 1359.35014
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2017
Asymptotic behaviour of the three-dimensional $$\alpha$$-Navier-Stokes model with delays. Zbl 1187.35151
Caraballo, T.; Márquez-Durán, A. M.; Real, J.
2008
Morse decomposition of attractors for non-autonomous dynamical systems. Zbl 1307.37009
Caraballo, Tomás; Jara, Juan C.; Langa, José A.
2013
Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050
Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás
2020
$$H^{2}$$-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation. Zbl 1180.35117
Anguiano, M.; Caraballo, T.; Real, J.
2010
Attractors for impulsive non-autonomous dynamical systems and their relations. Zbl 1362.35326
Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R.
2017
Asymptotic behaviour of nonlocal $$p$$-Laplacian reaction-diffusion problems. Zbl 1483.35115
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2018
Stability results for 2D Navier-Stokes equations with unbounded delay. Zbl 1403.35206
Liu, Linfang; Caraballo, Tomás; Marín-Rubio, Pedro
2018
Skew product semiflows and Morse decomposition. Zbl 1371.37042
Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
2013
Non-autonomous Morse decomposition and Lyapunov functions for gradient-like processes. Zbl 1291.37002
Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
2013
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047
Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás
2020
Chemostats with random inputs and wall growth. Zbl 1341.34053
Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.
2015
On the practical global uniform asymptotic stability of stochastic differential equations. Zbl 1337.60117
Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad
2016
On the decay rate of solutions of non-autonomous differential systems. Zbl 0971.34031
Caraballo, Tomás
2001
Global attractor for a non-autonomous integro-differential equation in materials with memory. Zbl 1194.35071
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J.
2010
On the pathwise exponential stability of nonlinear stochastic partial differential equations. Zbl 0808.93069
Caraballo, Tomás; Real, José
1994
Practical exponential stability of impulsive stochastic functional differential equations. Zbl 1377.93167
Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad
2017
Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces. Zbl 1457.37096
Sonner, Stefanie; Caraballo, Tomás
2017
Dynamics of some stochastic chemostat models with multiplicative noise. Zbl 1367.34056
Caraballo, Tomás; Garrido-Atienza, María J.; López-de-la-Cruz, J.
2017
Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations. Zbl 1375.37106
Caraballo, T.; Langa, J. A.; Obaya, R.
2017
Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay. Zbl 1338.34154
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani
2016
Synchronization of systems with multiplicative noise. Zbl 1149.60036
Caraballo, Tomás; Kloeden, Peter E.; Neuenkirch, Andreas
2008
Well-posedness and asymptotic behavior of a nonclassical nonautonomous diffusion equation with delay. Zbl 1334.35373
Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe
2015
Well-posedness and dynamics of a fractional stochastic integro-differential equation. Zbl 1378.37091
Liu, Linfang; Caraballo, Tomás
2017
A comparison between random and stochastic modeling for a SIR model. Zbl 1367.34055
Caraballo, Tomás; Colucci, Renato
2017
On initial and terminal value problems for fractional nonclassical diffusion equations. Zbl 1456.35222
Tuan, Nguyen Huy; Caraballo, Tomás
2021
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Zbl 1459.35060
Zhao, Caidi; Caraballo, Tomás; Łukaszewicz, Grzegorz
2021
Existence and regularity results for terminal value problem for nonlinear fractional wave equations. Zbl 1460.35368
Bao, Ngoc Tran; Caraballo, Tomás; Tuan, Nguyen Huy; Zhou, Yong
2021
Non-autonomous nonlocal partial differential equations with delay and memory. Zbl 1451.35072
Xu, Jiaohui; Zhang, Zhengce; Caraballo, Tomás
2021
On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel. Zbl 1466.35355
Caraballo, Tomás; Ngoc, Tran Bao; Tuan, Nguyen Huy; Wang, Renhai
2021
On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation. Zbl 1472.60098
Caraballo, Tomás; Ngoc, Tran Bao; Thach, Tran Ngoc; Tuan, Nguyen Huy
2021
Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices. Zbl 07424110
Zhao, Caidi; Jiang, Huite; Caraballo, Tomás
2021
Upper and lower semicontinuity of impulsive cocycle attractors for impulsive nonautonomous systems. Zbl 1476.37029
Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R.
2021
On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions. Zbl 1487.35365
Tuan, Nguyen Huy; Caraballo, Tomás; Thach, Tran Ngoc
2021
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains. Zbl 07446628
Caraballo, Tomás; Guo, Boling; Tuan, Nguyen Huy; Wang, Renhai
2021
Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050
Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás
2020
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047
Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás
2020
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262
Wang, Jintao; Zhao, Caidi; Caraballo, Tomás
2020
A stochastic threshold for an epidemic model with isolation and a non linear incidence. Zbl 1435.92068
Caraballo, Tomás; Fatini, Mohamed El; Sekkak, Idriss; Taki, Regragui; Laaribi, Aziz
2020
Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058
Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc
2020
Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. Zbl 1436.35048
Caraballo, Tomás; Langa, José A.; Valero, José
2020
Existence of periodic positive solutions to nonlinear Lotka-Volterra competition systems. Zbl 1467.34071
Benhadri, Mimia; Caraballo, Tomás; Zeghdoudi, Halim
2020
Stability results for neutral stochastic functional differential equations via fixed point methods. Zbl 1476.34169
Benhadri, Mimia; Caraballo, Tomás; Zeghdoudi, Halim
2020
Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate. Zbl 1471.92215
Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain
2020
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems. Zbl 1453.37019
Wang, Yejuan; Caraballo, Tomás
2020
Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process. Zbl 1435.34074
Caraballo, Tomás; Ogouyandjou, Carlos; Allognissode, Fulbert Kuessi; Diop, Mamadou Abdoul
2020
A free boundary tumor model with time dependent nutritional supply. Zbl 1433.35431
Sun, Wenlong; Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.
2020
Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel. Zbl 1483.92125
Caraballo, Tomás; El Fatini, Mohamed; El Khalifi, Mohamed; Gerlach, Richard; Pettersson, Roger
2020
Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051
Zhao, Caidi; Caraballo, Tomás
2019
Modeling and analysis of random and stochastic input flows in the chemostat model. Zbl 1421.37036
Caraballo, Tomás; Garrido-Atienza, Maria-José; López-de-la-Cruz, Javier; Rapaport, Alain
2019
A way to model stochastic perturbations in population dynamics models with bounded realizations. Zbl 1485.92080
Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain
2019
Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. Zbl 1428.34123
Caraballo, Tomás; Cortés, J.-C.; Navarro-Quiles, A.
2019
Analysis of a stochastic $$2D$$-Navier-Stokes model with infinite delay. Zbl 1427.35182
Liu, Linfang; Caraballo, Tomás
2019
Long time behavior of fractional impulsive stochastic differential equations with infinite delay. Zbl 1421.34055
Xu, Jiaohui; Caraballo, Tomás
2019
On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations. Zbl 1420.60077
Zhang, Tian; Chen, Huabin; Yuan, Chenggui; Caraballo, Tomás
2019
Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion. Zbl 1430.34074
Blouhi, T.; Caraballo, T.; Ouahab, A.
2019
Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay. Zbl 07264427
Xu, Jiaohui; Zhang, Zhengce; Caraballo, Tomás
2019
Some remarks on an environmental defensive expenditures model. Zbl 1408.37152
Caraballo, Tomás; Colucci, Renato; Guerrini, Luca
2019
The asymptotic behaviour of fractional lattice systems with variable delay. Zbl 1428.34116
Liu, Linfang; Caraballo, Tomás; Kloeden, Peter E.
2019
Existence of solutions and stability for impulsive neutral stochastic functional differential equations. Zbl 07098091
Benhadri, Mimia; Caraballo, Tomás; Halim, Zeghdoudi
2019
A stochastic SIRI epidemic model with relapse and media coverage. Zbl 1404.92172
Caraballo, Tomás; El Fatini, Mohamed; Pettersson, Roger; Taki, Regragui
2018
A stochastic SIRI epidemic model with Lévy noise. Zbl 1404.92171
2018
Asymptotic behaviour of nonlocal $$p$$-Laplacian reaction-diffusion problems. Zbl 1483.35115
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2018
Stability results for 2D Navier-Stokes equations with unbounded delay. Zbl 1403.35206
Liu, Linfang; Caraballo, Tomás; Marín-Rubio, Pedro
2018
On a predator prey model with nonlinear harvesting and distributed delay. Zbl 1394.92104
Caraballo, Tomás; Colucci, Renato; Guerrini, Luca
2018
Robustness of time-dependent attractors in $$H^1$$-norm for nonlocal problems. Zbl 1415.35056
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2018
Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent. Zbl 1400.37100
Caraballo, Tomás; Langa, José A.; Obaya, Rafael; Sanz, Ana M.
2018
Time-dependent attractors for non-autonomous non-local reaction-diffusion equations. Zbl 1404.35061
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2018
Analysis of a stochastic SIR model with fractional Brownian motion. Zbl 1407.92125
Caraballo, Tomás; Keraani, Sami
2018
Pullback attractor for a dynamic boundary non-autonomous problem with infinite delay. Zbl 1415.35058
Samprogna, Rodrigo; Caraballo, Tomás
2018
Global attractor for a nonlocal $$p$$-Laplacian equation without uniqueness of solution. Zbl 1359.35014
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2017
Attractors for impulsive non-autonomous dynamical systems and their relations. Zbl 1362.35326
Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R.
2017
Practical exponential stability of impulsive stochastic functional differential equations. Zbl 1377.93167
Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad
2017
Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces. Zbl 1457.37096
Sonner, Stefanie; Caraballo, Tomás
2017
Dynamics of some stochastic chemostat models with multiplicative noise. Zbl 1367.34056
Caraballo, Tomás; Garrido-Atienza, María J.; López-de-la-Cruz, J.
2017
Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations. Zbl 1375.37106
Caraballo, T.; Langa, J. A.; Obaya, R.
2017
Well-posedness and dynamics of a fractional stochastic integro-differential equation. Zbl 1378.37091
Liu, Linfang; Caraballo, Tomás
2017
A comparison between random and stochastic modeling for a SIR model. Zbl 1367.34055
Caraballo, Tomás; Colucci, Renato
2017
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic. Zbl 1366.35233
Rivero, Felipe; Márquez-Durán, Antonio M.; Caraballo, Tomás
2017
Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion. Zbl 1370.34137
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani
2017
Attractors for a random evolution equation with infinite memory: theoretical results. Zbl 1359.60080
Valero, José; Schmalfuß, Björn; Garrido-Atienza, María J.; Caraballo, Tomás
2017
Impulsive non-autonomous dynamical systems and impulsive cocycle attractors. Zbl 1372.35350
Bonotto, Everaldo M.; Bortolan, Matheus C.; Caraballo, Tomás; Collegari, Rodolfo
2017
An iterative method for non-autonomous nonlocal reaction-diffusion equations. Zbl 1375.35249
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2017
Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay. Zbl 1382.35229
Liu, Linfang; Caraballo, Tomás; Fu, Xianlong
2017
A qualitative description of microstructure formation and coarsening phenomena for an evolution equation. Zbl 1375.35038
Caraballo, Tomás; Colucci, Renato
2017
Dynamics of a class of ODEs via wavelets. Zbl 1398.34087
Rodrigues, Hildebrando M.; Caraballo, Tomás; Gameiro, Marcio
2017
Corrigendum to: “Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion”. Zbl 1472.34112
Blouhi, T.; Caraballo, T.; Ouahab, A.
2017
Applied nonautonomous and random dynamical systems. Applied dynamical systems. Zbl 1370.37001
Caraballo, Tomás; Han, Xiaoying
2016
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208
Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José
2016
Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay. Zbl 1356.34079
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani
2016
Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness. Zbl 1354.35060
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2016
On the practical global uniform asymptotic stability of stochastic differential equations. Zbl 1337.60117
Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad
2016
Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay. Zbl 1338.34154
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani
2016
Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing. Zbl 1342.35405
Caraballo, Tomás; Colucci, Renato; Han, Xiaoying
2016
Predation with indirect effects in fluctuating environments. Zbl 1354.37092
Caraballo, Tomás; Colucci, Renato; Han, Xiaoying
2016
Some aspects concerning the dynamics of stochastic chemostats. Zbl 1360.92075
Caraballo, Tomás; Garrido-Atienza, María J.; López-de-la-Cruz, Javier
2016
Semi-Kolmogorov models for predation with indirect effects in random environments. Zbl 1347.92060
Caraballo, Tomás; Colucci, Renato; Han, Xiaoying
2016
Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Zbl 1346.35015
Caraballo, T.; Langa, J. A.; Valero, J.
2016
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion. Zbl 1380.34091
Blouhi, T.; Caraballo, T.; Ouahab, A.
2016
Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations. Zbl 1348.60091
Abdoul Diop, Mamadou; Caraballo, Tomás; Mané, Aziz
2016
Equi-attraction and continuity of attractors for skew-product semiflows. Zbl 1368.37022
Caraballo, Tomás; Carvalho, Alexandre N.; da Costa, Henrique B.; Langa, José A.
2016
Practical stability of stochastic delay evolution equations. Zbl 1335.60105
Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassad
2016
Controllability for neutral stochastic functional integrodifferential equations with infinite delay. Zbl 1386.93265
Caraballo, Tomás; Abdoul Diop, Mamadou; Mane, Aziz
2016
Impulsive surfaces on dynamical systems. Zbl 1399.53006
Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R.
2016
Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays. Zbl 1351.93164
Diop, Mamadou Abdoul; Caraballo, Tomás; Zene, Mahamat Mahamat
2016
A nonclassical and nonautonomous diffusion equation containing infinite delays. Zbl 1353.35309
Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe
2016
A survey on impulsive dynamical systems. Zbl 1389.35085
Bonotto, Everaldo; Bortolan, Matheus; Caraballo, Tomas; Collegari, Rodolfo
2016
A random model for immune response to virus in fluctuating environments. Zbl 1360.92067
Asai, Yusuke; Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.
2016
A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions. Zbl 1406.35221
Caraballo, Tomás; Han, Xiaoying
2015
Existence of mild solutions to stochastic delay evolution equations with a fractional Brownian motion and impulses. Zbl 1327.35460
Boudaoui, Ahmed; Caraballo, Tomás; Ouahab, Abdelghani
2015
On the stability of impulsive functional differential equations with infinite delays. Zbl 1334.34163
Li, Xiaodi; Caraballo, T.; Rakkiyappan, R.; Han, Xiuping
2015
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms. Zbl 1325.35087
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro
2015
Nonautonomous chemostats with variable delays. Zbl 1323.92155
Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.
2015
Chemostats with random inputs and wall growth. Zbl 1341.34053
Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.
2015
Well-posedness and asymptotic behavior of a nonclassical nonautonomous diffusion equation with delay. Zbl 1334.35373
Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe
2015
Practical exponential stability in mean square of stochastic partial differential equations. Zbl 1311.93083
Caraballo, Tomás; Hammami, Mohamed Ali; Mchiri, Lassaad
2015
Dynamics of nonautonomous chemostat models. Zbl 1335.92062
Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.; Rapaport, Alain
2015
Asymptotic stability of neutral stochastic functional integro-differential equations with impulses. Zbl 1308.93212
2015
Morse decomposition of global attractors with infinite components. Zbl 1366.37030
Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Valero, José
2015
Exponential behavior of solutions to stochastic integrodifferential equations with distributed delays. Zbl 1316.60092
Diop, Mamadou Abdoul; Caraballo, Tomás; Ndiaye, Abdoul Aziz
2015
Attractors for non-autonomous retarded lattice dynamical systems. Zbl 1329.34119
Caraballo, Tomás; Morillas, Francisco; Valero, José
2015
On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. Zbl 1323.34087
Caraballo, Tomás; Morillas, Francisco; Valero, José
2014
Stability of stationary solutions to 2D-Navier-Stokes models with delays. Zbl 1326.35236
Caraballo, Tomás; Han, Xiaoying
2014
Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion. Zbl 1322.60103
Caraballo, Tomás; Diop, Mamadou Abdoul; Ndiaye, Abdoul Aziz
2014
Asymptotic behaviour of a logistic lattice system. Zbl 1334.34032
Caraballo, Tomás; Morillas, Francisco; Valero, José
2014
...and 118 more Documents
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### Cited by 1,540 Authors

 158 Caraballo Garrido, Tomás 63 Kloeden, Peter Eris 60 Wang, Bixiang 56 Valero, José 50 Li, Yangrong 48 Langa, Jose’ Antonio 40 Zhou, Shengfan 35 Real Anguas, José 34 Marín-Rubio, Pedro 33 Tachim Medjo, Theodore 33 Wang, Yejuan 31 Han, Xiaoying 31 Zhao, Caidi 28 Lu, Kening 27 Duan, Jinqiao 27 Garrido-Atienza, María José 27 Wang, Renhai 26 Schmalfuß, Björn 23 Gu, Anhui 21 Nolasco de Carvalho, Alexandre 20 Li, Dingshi 19 El Fatini, Mohamed 19 Sun, Chunyou 18 Li, Desheng 18 Nguyen Huy Tuan 17 Cui, Hongyong 17 Kapustyan, Oleksiy V. 17 Łukaszewicz, Grzegorz 17 Mao, Xuerong 16 Cung The Anh 15 Cheban, David Nikolai 15 Deugoue, Gabriel 15 Diop, Mamadou Abdoul 15 Kasyanov, Pavlo O. 15 Ren, Yong 15 Robinson, James Cooper 15 Simsen, Jacson 15 Wang, Xiaohu 14 Colucci, Renato 13 Anguiano, María 13 Yang, Meihua 12 Li, Zhi 12 Sakthivel, Rathinasamy 12 Shi, Lin 12 Shu, Ji 12 Wang, Zhaojuan 12 Yang, Xinguang 11 Bortolan, Matheus Cheque 11 Hammami, Mohamed Ali 11 Liu, Kai 11 Liu, Linfang 11 Luo, Jiaowan 10 Fu, Xianlong 10 You, Bo 9 Ahmed, Hamdy M. 9 Bezerra, Flank David Morais 9 Bonotto, Everaldo M. 9 Huang, Jianhua 9 Kalita, Piotr 9 Li, Fuzhi 9 Liu, Xianming 9 Mchiri, Lassaad 9 Obaya, Rafael 9 Sango, Mamadou 9 Taniguchi, Takeshi 9 Wang, Jintao 9 Yin, Jinyan 9 Zhao, Wenqiang 9 Zhou, Feng 9 Zhu, Kaixuan 8 Boudaoui, Ahmed 8 Chen, Huabin 8 García-Luengo, Julia 8 Gorban, Nataliia V. 8 Jiang, Daqing 8 Li, Xiaodi 8 Liu, Jicheng 8 López-de-la-Cruz, Javier 8 Morillas, Francisco G. 8 Nascimento, Marcelo Jose Dias 8 Pettersson, Roger 8 Razafimandimby, Paul André 8 Rivero, Felipe 8 Xu, Liping 8 Yang, Shuang 8 You, Yuncheng 8 Zeng, Caibin 8 Zhang, Qiangheng 7 Chen, Zhang 7 Gess, Benjamin 7 Guo, Boling 7 Li, Fang 7 Ouahab, Abdelghani 7 Palamarchuk, E. S. 7 She, Lianbing 7 Simsen, Mariza Stefanello 7 Taki, Regragui 7 Wang, Yonghai 7 Wu, Fuke 7 Xie, Yongqin ...and 1,440 more Authors
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### Cited in 247 Serials

 114 Discrete and Continuous Dynamical Systems. Series B 112 Journal of Differential Equations 92 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 81 Journal of Mathematical Analysis and Applications 57 Stochastic Analysis and Applications 55 Stochastics and Dynamics 50 Discrete and Continuous Dynamical Systems 48 Journal of Mathematical Physics 46 Communications on Pure and Applied Analysis 40 Applied Mathematics and Computation 38 Advances in Difference Equations 31 Journal of Dynamics and Differential Equations 29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Journal of Difference Equations and Applications 25 Abstract and Applied Analysis 25 Nonlinear Analysis. Real World Applications 21 Stochastics 20 Applicable Analysis 18 Systems & Control Letters 17 Statistics & Probability Letters 17 Applied Mathematics Letters 15 Communications in Nonlinear Science and Numerical Simulation 14 Mathematical Methods in the Applied Sciences 14 Chaos, Solitons and Fractals 14 Journal of Computational and Applied Mathematics 14 Physica D 14 Boundary Value Problems 13 Journal of the Franklin Institute 13 Dynamical Systems 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Mathematical Problems in Engineering 12 Discrete Dynamics in Nature and Society 12 AIMS Mathematics 12 Electronic Research Archive 11 Nonlinearity 11 Applied Mathematics and Optimization 11 Stochastic Processes and their Applications 11 Topological Methods in Nonlinear Analysis 11 Journal of Inequalities and Applications 10 International Journal of Control 10 Discrete and Continuous Dynamical Systems. Series S 10 Journal of Applied Analysis and Computation 9 Computers & Mathematics with Applications 9 Proceedings of the American Mathematical Society 9 Filomat 9 Random Operators and Stochastic Equations 9 Set-Valued and Variational Analysis 8 Evolution Equations and Control Theory 7 Physica A 7 Journal of Functional Analysis 7 Mathematics and Computers in Simulation 7 Differential Equations and Dynamical Systems 7 Journal of Mathematical Fluid Mechanics 7 Qualitative Theory of Dynamical Systems 7 Mediterranean Journal of Mathematics 7 Mathematical Biosciences and Engineering 7 Frontiers of Mathematics in China 6 Differential Equations 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Nonlinear Analysis. Hybrid Systems 6 International Journal of Biomathematics 6 Open Mathematics 5 Automatica 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Applicandae Mathematicae 5 Asymptotic Analysis 5 SIAM Journal on Mathematical Analysis 5 Set-Valued Analysis 5 NoDEA. Nonlinear Differential Equations and Applications 5 Nonlinear Dynamics 5 Acta Mathematica Sinica. English Series 5 Journal of Applied Mathematics 5 Acta Mathematica Scientia. Series B. (English Edition) 5 SIAM Journal on Applied Dynamical Systems 5 Afrika Matematika 4 Acta Mathematica Vietnamica 4 Quarterly of Applied Mathematics 4 Bulletin of the Iranian Mathematical Society 4 Automation and Remote Control 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Complexity 4 Journal of Mathematical Chemistry 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Revista Matemática Complutense 4 Journal of Evolution Equations 4 Science China. Mathematics 4 Asian Journal of Control 4 Nonautonomous Dynamical Systems 4 Journal of Elliptic and Parabolic Equations 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annales Polonici Mathematici 3 Semigroup Forum 3 Transactions of the American Mathematical Society 3 Probability Theory and Related Fields 3 Applied Mathematical Modelling 3 Journal of Mathematical Sciences (New York) 3 Electronic Journal of Differential Equations (EJDE) 3 Vietnam Journal of Mathematics 3 Taiwanese Journal of Mathematics ...and 147 more Serials
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### Cited in 40 Fields

 917 Partial differential equations (35-XX) 688 Probability theory and stochastic processes (60-XX) 671 Dynamical systems and ergodic theory (37-XX) 434 Ordinary differential equations (34-XX) 191 Systems theory; control (93-XX) 166 Fluid mechanics (76-XX) 134 Biology and other natural sciences (92-XX) 89 Operator theory (47-XX) 54 Numerical analysis (65-XX) 42 Difference and functional equations (39-XX) 38 Integral equations (45-XX) 37 Real functions (26-XX) 34 Mechanics of deformable solids (74-XX) 26 Geophysics (86-XX) 17 Abstract harmonic analysis (43-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 General topology (54-XX) 8 Measure and integration (28-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX)