Valero, José

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 Author ID: valero.jose Published as: Valero, José; Valero, J. Homepage: http://cio.edu.umh.es/en/investigadores/jose-valero/ External Links: MGP
 Documents Indexed: 116 Publications since 1995, including 1 Book 4 Contributions as Editor Co-Authors: 44 Co-Authors with 109 Joint Publications 777 Co-Co-Authors
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Co-Authors

 11 single-authored 34 Caraballo Garrido, Tomás 28 Kapustyan, Oleksiy V. 18 Langa, Jose’ Antonio 15 Morillas, Francisco G. 14 Kasyanov, Pavlo O. 12 Melnik, Valery S. 9 Giménez, Angel 8 Amigó, José María 8 Garrido-Atienza, María José 8 Marín-Rubio, Pedro 7 Kloeden, Peter Eris 7 Schmalfuß, Björn 6 Balibrea, Francisco 6 Zgurovsky, Mikhail Z. 4 Anguiano, María 4 Real Anguas, José 3 Pankov, Andrey V. 3 Simsen, Jacson 2 Caballero, Rubén 2 Carballo, T. 2 da Costa, Henrique B. 2 Martínez-Bonastre, Oscar 2 Nolasco de Carvalho, Alexandre 1 Arrieta, José M. 1 Carretero, Luis 1 Catto, Isabelle 1 Cui, Hongyong 1 de Cássia D. S. Broche, Rita 1 Diaz Diaz, Jesus Ildefonso 1 Duran, Guillem 1 Galarza, M. 1 Han, Xiaoying 1 Iovane, Gerardo 1 Jara, Juan C. 1 Li, Yangrong 1 Moreira, Estefani M. 1 Pardo, Daniel 1 Pereguda, Oleg V. 1 Rodríguez-Bernal, Aníbal 1 Schuhmann, M. U. 1 Simsen, Mariza Stefanello 1 Thomale, U. 1 Xu, Jiaohui 1 Zadoianchuk, Nina V.
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Serials

 12 Discrete and Continuous Dynamical Systems. Series B 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Discrete and Continuous Dynamical Systems 7 Journal of Mathematical Analysis and Applications 6 Journal of Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Set-Valued Analysis 5 Communications on Pure and Applied Analysis 5 Set-Valued and Variational Analysis 3 Journal of Dynamics and Differential Equations 3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Topology and its Applications 2 Journal of Difference Equations and Applications 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 International Journal of Mathematics, Game Theory and Algebra 2 Nonlinear Boundary Value Problems 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Nonlinearity 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Physica D 1 Asymptotic Analysis 1 Journal of Mathematical Sciences (New York) 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Doklady Mathematics 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Revista Matemática Complutense 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Mathematicae Silesianae 1 The ANZIAM Journal 1 Applied General Topology 1 Dynamical Systems 1 Stochastics and Dynamics 1 Journal of Function Spaces and Applications 1 Advances in Mechanics and Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Nonautonomous Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applied Mathematics and Nonlinear Sciences
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Fields

 82 Partial differential equations (35-XX) 78 Dynamical systems and ergodic theory (37-XX) 29 Ordinary differential equations (34-XX) 23 Global analysis, analysis on manifolds (58-XX) 16 Probability theory and stochastic processes (60-XX) 10 Operator theory (47-XX) 8 Fluid mechanics (76-XX) 5 General and overarching topics; collections (00-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

Citations contained in zbMATH Open

89 Publications have been cited 1,446 times in 601 Documents Cited by Year
On attractors of multivalued semi-flows and differential inclusions. Zbl 0915.58063
Mel’nik, Valery S.; Valero, José
1998
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
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
Autonomous and non-autonomous attractors for differential equations with delays. Zbl 1074.34070
Caraballo, T.; Marín-Rubio, P.; Valero, J.
2005
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
2010
Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1248.37045
Caraballo, Tomás; Morillas, F.; Valero, J.
2012
Evolution inclusions and variation inequalities for earth data processing. III. Long-time behavior of evolution inclusions solutions in earth data analysis. Zbl 1317.86003
Zgurovsky, Mikhail Z.; Kasyanov, Pavlo O.; Kapustyan, Oleksiy V.; Valero, José; Zadoianchuk, Nina V.
2012
On the connectedness and asymptotic behaviour of solutions of reaction-diffusion systems. Zbl 1169.35345
Valero, José; Kapustyan, Alexey
2006
Attractors for reaction-diffusion equations in $$\mathbb R^N$$ with continuous nonlinearity. Zbl 1083.35022
Morillas, Francisco; Valero, José
2005
Pullback attractors for a two-dimensional Navier-Stokes model in an infinite delay case. Zbl 1218.35045
Marín-Rubio, Pedro; Real, José; Valero, José
2011
Weak and strong attractors for the 3D Navier-Stokes system. Zbl 1131.35056
Kapustyan, A. V.; Valero, J.
2007
Attractors of parabolic equations without uniqueness. Zbl 0996.35037
Valero, José
2001
Attractors for differential equations with unbounded delays. Zbl 1135.34040
Caraballo, T.; Marín-Rubio, P.; Valero, J.
2007
On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions. Zbl 1063.35040
Melnik, Valery S.; Valero, José
2000
Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term. Zbl 1304.35118
Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José
2014
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
Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity. Zbl 1185.37161
Arrieta, José M.; Rodríguez-Bernal, Aníbal; Valero, José
2006
Attractors of multivalued dynamical processes generated by phase-field equations. Zbl 1063.37070
Kapustyan, Alexei V.; Melnik, Valery S.; Valero, José
2003
Attractors of multivalued semiflows generated by differential inclusions and their approximations. Zbl 1014.35010
Kapustian, Alexei V.; Valero, José
2000
Global attractors for multivalued random dynamical systems. Zbl 1004.37035
Caraballo, T.; Langa, J. A.; Valero, J.
2002
On global attractors of multivalued semiflows generated by the 3D Bénard system. Zbl 1259.35042
Kapustyan, Alexey V.; Pankov, Andrey V.; Valero, José
2012
Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010
Caraballo, T.; Morillas, F.; Valero, J.
2011
On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion. Zbl 1178.35077
Kapustyan, A. V.; Valero, J.
2009
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
Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system. Zbl 1206.35048
Kapustyan, O. V.; Kasyanov, P. O.; Valero, J.
2011
The weak connectedness of the attainability set of weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1143.35082
Kloeden, P. E.; Valero, J.
2007
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208
Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José
2016
Comparison between trajectory and global attractors for evolution systems without uniqueness of solutions. Zbl 1202.37023
Kapustyan, O. V.; Valero, J.
2010
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
Peano’s theorem and attractors for lattice dynamical systems. Zbl 1170.37337
Morillas, Francisco; Valero, José
2009
The dimension of attractors of nonautonomous partial differential equations. Zbl 1047.35024
Caraballo, T.; Langa, J. A.; Valero, J.
2003
Regular solutions and global attractors for reaction-diffusion systems without uniqueness. Zbl 1304.35119
Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José
2014
Structure of uniform global attractor for general non-autonomous reaction-diffusion system. Zbl 1323.35084
Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z.
2014
Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects. Zbl 1228.35063
Iovane, G.; Kapustyan, A. V.; Valero, J.
2008
A weak attractor and properties of solutions for the three-dimensional Benard problem. Zbl 1143.35013
Kapustyan, O. V.; Melnik, V. S.; Valero, J.
2007
Attractors of weakly asymptotically compact set-valued dynamical systems. Zbl 1088.37002
Kloeden, P. E.; Valero, J.
2005
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
Attractors for a lattice dynamical system generated by non-Newtonian fluids modeling suspensions. Zbl 1202.34022
Amigó, José M.; Giménez, Ángel; Morillas, Francisco; Valero, José
2010
Attractors for multi-valued non-autonomous dynamical systems: relationship, characterization and robustness. Zbl 1401.37085
Cui, Hongyong; Langa, José A.; Li, Yangrong; Valero, José
2018
On the Kneser property for some parabolic problems. Zbl 1094.35029
Valero, José
2005
Morse decompositions and Lyapunov functions for dynamically gradient multivalued semiflows. Zbl 1354.37075
da Costa, Henrique B.; Valero, José
2016
Finite and infinite-dimensional attractors of multivalued reaction-diffusion equations. Zbl 0997.37058
Valero, J.
2000
The Kneser property of the weak solutions of the three dimensional Navier-Stokes equations. Zbl 1194.35061
Kloeden, Peter E.; Valero, José
2010
Attractors for a non-linear parabolic equation modelling suspension flows. Zbl 1172.35326
Amigó, José M.; Catto, Isabelle; Giménez, Ángel; Valero, José
2009
Addendum to “On attractors of multivalued semiflows and differential inclusions” [Set-valued Anal. 6, No. 1, 83–111 (1998; Zbl 0915.58063)]. Zbl 1172.35331
Melnik, V. S.; Valero, J.
2008
Asymptotic behaviour of monotone multi-valued dynamical systems. Zbl 1086.37042
Caraballo, T.; Langa, J. A.; Valero, J.
2005
Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Zbl 1346.35015
Caraballo, T.; Langa, J. A.; Valero, J.
2016
Asymptotic behaviour of a logistic lattice system. Zbl 1334.34032
Caraballo, Tomás; Morillas, Francisco; Valero, José
2014
On the Kneser property for reaction-diffusion systems on unbounded domains. Zbl 1176.35037
Morillas, Francisco; Valero, José
2009
Characterization of pullback attractors for multivalued nonautonomous dynamical systems. Zbl 1362.37037
Simsen, Jacson; Valero, José
2016
Attractors of differential inclusions and their approximation. Zbl 0970.35175
Kapustyan, O. V.; Valero, J.
2000
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
On dimension of attractors of differential inclusions and reaction-diffusion equations. Zbl 0963.37075
Balibrea, Francisco; Valero, José
1999
Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise. Zbl 0978.37043
Caraballo, Tomás; Langa, José A.; Valero, José
2001
Noncoercive evolution inclusions for $$S_{k}$$ type operators. Zbl 1202.34112
Zgurovsky, M. Z.; Kasyanov, P. O.; Valero, J.
2010
On the relationship between solutions of stochastic and random differential inclusions. Zbl 1042.60037
Caraballo, T.; Langa, J. A.; Valero, J.
2003
Morse decompositions with infinite components for multivalued semiflows. Zbl 1376.37040
da Costa, Henrique B.; Valero, José
2017
Robustness of dynamically gradient multivalued dynamical systems. Zbl 1408.37133
Caballero, Rubén; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Valero, José
2019
On the connectedness of the attainability set for lattice dynamical systems. Zbl 1243.34012
Morillas, Francisco; Valero, José
2012
On the Kneser property for reaction-diffusion equations in some unbounded domains with an $$H^{ - 1}$$-valued non-autonomous forcing term. Zbl 1237.35016
Anguiano, M.; Morillas, F.; Valero, J.
2012
Attractors for non-autonomous retarded lattice dynamical systems. Zbl 1329.34119
Caraballo, Tomás; Morillas, Francisco; Valero, José
2015
On the method of approximation for evolutionary inclusions of pseudomonotone type. Zbl 1163.35413
Kasyanov, Pavlo; Melnik, Valery; Valero, José
2008
Morse decomposition of global attractors with infinite components. Zbl 1366.37030
Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Valero, José
2015
On $$L^r$$-regularity of global attractors generated by strong solutions of reaction-diffusion equations. Zbl 1379.37134
Valero, José
2016
On the asymptotic behaviour of solutions of a stochastic energy balance climate model. Zbl 1173.37051
Díaz, J. I.; Langa, J. A.; Valero, J.
2009
Attractors of set-valued partial differential equations under discretization. Zbl 1177.65148
Kloeden, P. E.; Valero, J.
2009
Asymptotic compactness and attractors for phase-field equations in $$\mathbb R^{3}$$. Zbl 1173.35370
Morillas, Francisco; Valero, José
2008
Pullback attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1320.34088
Caraballo, Tomás; Morillas, Francisco; Valero, José
2013
The envelope attractor of non-strict multivalued dynamical systems with application to the 3D Navier-Stokes and reaction-diffusion equations. Zbl 1277.35066
Kloeden, P. E.; Marín-Rubio, P.; Valero, J.
2013
Approximation of attractors for multivalued random dynamical systems. Zbl 1026.37046
Caraballo, T.; Langa, J. A.; Valero, J.
2001
A weak comparison principle for reaction-diffusion systems. Zbl 1254.35038
Valero, José
2012
A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. Zbl 1425.35115
de Cássia D. S. Broche, Rita; Carvalho, Alexandre N.; Valero, José
2019
Stability and numerical analysis of the Hébraud-Lequeux model for suspensions. Zbl 1213.76136
Giménez, Ángel; Morillas, Francisco; Valero, José; Amigó, José María
2011
Convergence of equilibria for numerical approximations of a suspension model. Zbl 1404.76015
Valero, J.; Giménez, A.; Kapustyan, O. V.; Kasyanov, P. O.; Amigó, J. M.
2016
Convergence of numerical approximations for a non-Newtonian model of suspensions. Zbl 1334.65131
Kapustyan, O. V.; Valero, J.; Kasyanov, P. O.; Giménez, A.; Amigó, J. M.
2015
Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. Zbl 1436.35048
Caraballo, Tomás; Langa, José A.; Valero, José
2020
Attractors of multivalued semi-flows generated by solutions of optimal control problems. Zbl 1473.35060
Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z.
2019
Global attractors for weak solutions of the three-dimensional Navier-Stokes equations with damping. Zbl 1423.35038
Pardo, Daniel; Valero, José; Giménez, Ángel
2019
On attractors of evolutionary inclusions in Banach spaces. Zbl 0940.47059
Valero, J.
1995
Estimates of dimension of attractors of reaction-diffusion equations in the non-differentiable case. Zbl 0904.35104
Balibrea, Francisco; Valero, José
1997
Random attractor for the reaction-diffusion equation perturbed by a stochastic càdlàg process. Zbl 1114.37028
Kapustyan, O. V.; Valero, J.; Pereguda, O. V.
2005
Pullback attractors for nonautonomous dynamical systems. Zbl 1332.37056
Anguiano, María; Caraballo, Tomás; Real, José; Valero, José
2013
On locally compact attractors of dynamical systems. Zbl 0935.37050
Valero, José
1999
Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. Zbl 1270.34178
Anguiano, María; Caraballo, Tomás; Real, José; Valero, José
2013
Global attractors for $$p$$-Laplacian differential inclusions in unbounded domains. Zbl 1355.35028
Valero, José; Simsen, Jacson
2016
Generalized TCP-RED dynamical model for Internet congestion control. Zbl 1451.93010
Amigó, José M.; Duran, Guillem; Giménez, Angel; Martínez-Bonastre, Oscar; Valero, José
2020
Chain recurrence and structure of $$\omega$$-limit sets of multivalued semiflows. Zbl 1446.37017
Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José
2020
Existence and characterization of attractors for a nonlocal reaction-diffusion equation with an energy functional. Zbl 07491615
Caballero, R.; Marín-Rubio, P.; Valero, José
2022
Existence and characterization of attractors for a nonlocal reaction-diffusion equation with an energy functional. Zbl 07491615
Caballero, R.; Marín-Rubio, P.; Valero, José
2022
Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. Zbl 1436.35048
Caraballo, Tomás; Langa, José A.; Valero, José
2020
Generalized TCP-RED dynamical model for Internet congestion control. Zbl 1451.93010
Amigó, José M.; Duran, Guillem; Giménez, Angel; Martínez-Bonastre, Oscar; Valero, José
2020
Chain recurrence and structure of $$\omega$$-limit sets of multivalued semiflows. Zbl 1446.37017
Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José
2020
Robustness of dynamically gradient multivalued dynamical systems. Zbl 1408.37133
Caballero, Rubén; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Valero, José
2019
A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. Zbl 1425.35115
de Cássia D. S. Broche, Rita; Carvalho, Alexandre N.; Valero, José
2019
Attractors of multivalued semi-flows generated by solutions of optimal control problems. Zbl 1473.35060
Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z.
2019
Global attractors for weak solutions of the three-dimensional Navier-Stokes equations with damping. Zbl 1423.35038
Pardo, Daniel; Valero, José; Giménez, Ángel
2019
Attractors for multi-valued non-autonomous dynamical systems: relationship, characterization and robustness. Zbl 1401.37085
Cui, Hongyong; Langa, José A.; Li, Yangrong; Valero, José
2018
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
Morse decompositions with infinite components for multivalued semiflows. Zbl 1376.37040
da Costa, Henrique B.; Valero, José
2017
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208
Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José
2016
Morse decompositions and Lyapunov functions for dynamically gradient multivalued semiflows. Zbl 1354.37075
da Costa, Henrique B.; Valero, José
2016
Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Zbl 1346.35015
Caraballo, T.; Langa, J. A.; Valero, J.
2016
Characterization of pullback attractors for multivalued nonautonomous dynamical systems. Zbl 1362.37037
Simsen, Jacson; Valero, José
2016
On $$L^r$$-regularity of global attractors generated by strong solutions of reaction-diffusion equations. Zbl 1379.37134
Valero, José
2016
Convergence of equilibria for numerical approximations of a suspension model. Zbl 1404.76015
Valero, J.; Giménez, A.; Kapustyan, O. V.; Kasyanov, P. O.; Amigó, J. M.
2016
Global attractors for $$p$$-Laplacian differential inclusions in unbounded domains. Zbl 1355.35028
Valero, José; Simsen, Jacson
2016
Attractors for non-autonomous retarded lattice dynamical systems. Zbl 1329.34119
Caraballo, Tomás; Morillas, Francisco; Valero, José
2015
Morse decomposition of global attractors with infinite components. Zbl 1366.37030
Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Valero, José
2015
Convergence of numerical approximations for a non-Newtonian model of suspensions. Zbl 1334.65131
Kapustyan, O. V.; Valero, J.; Kasyanov, P. O.; Giménez, A.; Amigó, J. M.
2015
Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term. Zbl 1304.35118
Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José
2014
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
Regular solutions and global attractors for reaction-diffusion systems without uniqueness. Zbl 1304.35119
Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José
2014
Structure of uniform global attractor for general non-autonomous reaction-diffusion system. Zbl 1323.35084
Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z.
2014
Asymptotic behaviour of a logistic lattice system. Zbl 1334.34032
Caraballo, Tomás; Morillas, Francisco; Valero, José
2014
Pullback attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1320.34088
Caraballo, Tomás; Morillas, Francisco; Valero, José
2013
The envelope attractor of non-strict multivalued dynamical systems with application to the 3D Navier-Stokes and reaction-diffusion equations. Zbl 1277.35066
Kloeden, P. E.; Marín-Rubio, P.; Valero, J.
2013
Pullback attractors for nonautonomous dynamical systems. Zbl 1332.37056
Anguiano, María; Caraballo, Tomás; Real, José; Valero, José
2013
Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. Zbl 1270.34178
Anguiano, María; Caraballo, Tomás; Real, José; Valero, José
2013
Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1248.37045
Caraballo, Tomás; Morillas, F.; Valero, J.
2012
Evolution inclusions and variation inequalities for earth data processing. III. Long-time behavior of evolution inclusions solutions in earth data analysis. Zbl 1317.86003
Zgurovsky, Mikhail Z.; Kasyanov, Pavlo O.; Kapustyan, Oleksiy V.; Valero, José; Zadoianchuk, Nina V.
2012
On global attractors of multivalued semiflows generated by the 3D Bénard system. Zbl 1259.35042
Kapustyan, Alexey V.; Pankov, Andrey V.; Valero, José
2012
On the connectedness of the attainability set for lattice dynamical systems. Zbl 1243.34012
Morillas, Francisco; Valero, José
2012
On the Kneser property for reaction-diffusion equations in some unbounded domains with an $$H^{ - 1}$$-valued non-autonomous forcing term. Zbl 1237.35016
Anguiano, M.; Morillas, F.; Valero, J.
2012
A weak comparison principle for reaction-diffusion systems. Zbl 1254.35038
Valero, José
2012
Pullback attractors for a two-dimensional Navier-Stokes model in an infinite delay case. Zbl 1218.35045
Marín-Rubio, Pedro; Real, José; Valero, José
2011
Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010
Caraballo, T.; Morillas, F.; Valero, J.
2011
Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system. Zbl 1206.35048
Kapustyan, O. V.; Kasyanov, P. O.; Valero, J.
2011
Stability and numerical analysis of the Hébraud-Lequeux model for suspensions. Zbl 1213.76136
Giménez, Ángel; Morillas, Francisco; Valero, José; Amigó, José María
2011
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
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
2010
Comparison between trajectory and global attractors for evolution systems without uniqueness of solutions. Zbl 1202.37023
Kapustyan, O. V.; Valero, J.
2010
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
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
Attractors for a lattice dynamical system generated by non-Newtonian fluids modeling suspensions. Zbl 1202.34022
Amigó, José M.; Giménez, Ángel; Morillas, Francisco; Valero, José
2010
The Kneser property of the weak solutions of the three dimensional Navier-Stokes equations. Zbl 1194.35061
Kloeden, Peter E.; Valero, José
2010
Noncoercive evolution inclusions for $$S_{k}$$ type operators. Zbl 1202.34112
Zgurovsky, M. Z.; Kasyanov, P. O.; Valero, J.
2010
On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion. Zbl 1178.35077
Kapustyan, A. V.; Valero, J.
2009
Peano’s theorem and attractors for lattice dynamical systems. Zbl 1170.37337
Morillas, Francisco; Valero, José
2009
Attractors for a non-linear parabolic equation modelling suspension flows. Zbl 1172.35326
Amigó, José M.; Catto, Isabelle; Giménez, Ángel; Valero, José
2009
On the Kneser property for reaction-diffusion systems on unbounded domains. Zbl 1176.35037
Morillas, Francisco; Valero, José
2009
On the asymptotic behaviour of solutions of a stochastic energy balance climate model. Zbl 1173.37051
Díaz, J. I.; Langa, J. A.; Valero, J.
2009
Attractors of set-valued partial differential equations under discretization. Zbl 1177.65148
Kloeden, P. E.; Valero, J.
2009
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
Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects. Zbl 1228.35063
Iovane, G.; Kapustyan, A. V.; Valero, J.
2008
Addendum to “On attractors of multivalued semiflows and differential inclusions” [Set-valued Anal. 6, No. 1, 83–111 (1998; Zbl 0915.58063)]. Zbl 1172.35331
Melnik, V. S.; Valero, J.
2008
On the method of approximation for evolutionary inclusions of pseudomonotone type. Zbl 1163.35413
Kasyanov, Pavlo; Melnik, Valery; Valero, José
2008
Asymptotic compactness and attractors for phase-field equations in $$\mathbb R^{3}$$. Zbl 1173.35370
Morillas, Francisco; Valero, José
2008
Weak and strong attractors for the 3D Navier-Stokes system. Zbl 1131.35056
Kapustyan, A. V.; Valero, J.
2007
Attractors for differential equations with unbounded delays. Zbl 1135.34040
Caraballo, T.; Marín-Rubio, P.; Valero, J.
2007
The weak connectedness of the attainability set of weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1143.35082
Kloeden, P. E.; Valero, J.
2007
A weak attractor and properties of solutions for the three-dimensional Benard problem. Zbl 1143.35013
Kapustyan, O. V.; Melnik, V. S.; Valero, J.
2007
On the connectedness and asymptotic behaviour of solutions of reaction-diffusion systems. Zbl 1169.35345
Valero, José; Kapustyan, Alexey
2006
Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity. Zbl 1185.37161
Arrieta, José M.; Rodríguez-Bernal, Aníbal; Valero, José
2006
Autonomous and non-autonomous attractors for differential equations with delays. Zbl 1074.34070
Caraballo, T.; Marín-Rubio, P.; Valero, J.
2005
Attractors for reaction-diffusion equations in $$\mathbb R^N$$ with continuous nonlinearity. Zbl 1083.35022
Morillas, Francisco; Valero, José
2005
Attractors of weakly asymptotically compact set-valued dynamical systems. Zbl 1088.37002
Kloeden, P. E.; Valero, J.
2005
On the Kneser property for some parabolic problems. Zbl 1094.35029
Valero, José
2005
Asymptotic behaviour of monotone multi-valued dynamical systems. Zbl 1086.37042
Caraballo, T.; Langa, J. A.; Valero, J.
2005
Random attractor for the reaction-diffusion equation perturbed by a stochastic càdlàg process. Zbl 1114.37028
Kapustyan, O. V.; Valero, J.; Pereguda, O. V.
2005
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Zbl 1018.37048
Caraballo, T.; Langa, J. A.; Melnik, V. S.; Valero, J.
2003
Attractors of multivalued dynamical processes generated by phase-field equations. Zbl 1063.37070
Kapustyan, Alexei V.; Melnik, Valery S.; Valero, José
2003
The dimension of attractors of nonautonomous partial differential equations. Zbl 1047.35024
Caraballo, T.; Langa, J. A.; Valero, J.
2003
On the relationship between solutions of stochastic and random differential inclusions. Zbl 1042.60037
Caraballo, T.; Langa, J. A.; Valero, J.
2003
Global attractors for multivalued random dynamical systems. Zbl 1004.37035
Caraballo, T.; Langa, J. A.; Valero, J.
2002
Attractors of parabolic equations without uniqueness. Zbl 0996.35037
Valero, José
2001
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
Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise. Zbl 0978.37043
Caraballo, Tomás; Langa, José A.; Valero, José
2001
Approximation of attractors for multivalued random dynamical systems. Zbl 1026.37046
Caraballo, T.; Langa, J. A.; Valero, J.
2001
On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions. Zbl 1063.35040
Melnik, Valery S.; Valero, José
2000
Attractors of multivalued semiflows generated by differential inclusions and their approximations. Zbl 1014.35010
Kapustian, Alexei V.; Valero, José
2000
Finite and infinite-dimensional attractors of multivalued reaction-diffusion equations. Zbl 0997.37058
Valero, J.
2000
Attractors of differential inclusions and their approximation. Zbl 0970.35175
Kapustyan, O. V.; Valero, J.
2000
On dimension of attractors of differential inclusions and reaction-diffusion equations. Zbl 0963.37075
Balibrea, Francisco; Valero, José
1999
On locally compact attractors of dynamical systems. Zbl 0935.37050
Valero, José
1999
On attractors of multivalued semi-flows and differential inclusions. Zbl 0915.58063
Mel&rsquo;nik, Valery S.; Valero, José
1998
Estimates of dimension of attractors of reaction-diffusion equations in the non-differentiable case. Zbl 0904.35104
Balibrea, Francisco; Valero, José
1997
On attractors of evolutionary inclusions in Banach spaces. Zbl 0940.47059
Valero, J.
1995
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Cited by 504 Authors

 71 Valero, José 57 Caraballo Garrido, Tomás 48 Wang, Bixiang 39 Kapustyan, Oleksiy V. 34 Kasyanov, Pavlo O. 32 Kloeden, Peter Eris 28 Marín-Rubio, Pedro 28 Wang, Yejuan 21 Li, Yangrong 20 Simsen, Jacson 20 Wang, Renhai 17 Langa, Jose’ Antonio 17 Zhou, Shengfan 16 Garrido-Atienza, María José 15 Zhao, Caidi 14 Lu, Kening 14 Real Anguas, José 14 Schmalfuß, Björn 13 Li, Dingshi 13 Morillas, Francisco G. 12 Gorban, Nataliia V. 12 Wang, Xiaohu 11 Gu, Anhui 11 Kalita, Piotr 11 Łukaszewicz, Grzegorz 10 Shu, Ji 10 Zgurovsky, Mikhail Z. 9 Han, Xiaoying 9 Li, Desheng 9 Simsen, Mariza Stefanello 9 Yang, Xinguang 8 Shi, Lin 7 Abdallah, Ahmed Y. 7 Cui, Hongyong 7 Cung The Anh 7 Paliichuk, Liliia S. 7 Wang, Zhaojuan 7 Xie, Yongqin 6 Anguiano, María 6 Coti Zelati, Michele 6 García-Luengo, Julia 6 Li, Fang 6 Liu, Linfang 6 You, Bo 6 Zhong, Chengkui 6 Zhu, Kaixuan 5 Amigó, José María 5 Balibrea, Francisco 5 Dashkovskiy, Sergey N. 5 Gentile, Cláudia Buttarello 5 Giménez, Angel 5 Herrera-Cobos, Marta 5 Pankov, Andrey V. 5 Planas, Gabriela 5 Tachim Medjo, Theodore 5 Xu, Jiaohui 5 Zadoianchuk, Nina V. 4 Belozyorov, Vasiliy Ye. 4 Diaz Diaz, Jesus Ildefonso 4 Gluzman, Mark O. 4 Guzik, Grzegorz 4 Ke, Tran Dinh 4 Li, Fuzhi 4 Marquez-Duran, Antonio M. 4 Romaniuk, Iryna V. 4 Samprogna, Rodrigo A. 4 She, Lianbing 4 Siemianowski, Jakub 4 Thanh, Dang Thi Phuong 4 Wang, Jingyu 4 Wang, Jintao 4 Yang, Meihua 4 Zhang, Fanghong 4 Zhang, Jian 4 Zhang, Xuping 4 Zhou, Feng 3 Bai, Lihong 3 Bates, Peter W. 3 Chen, Pengyu 3 Chepyzhov, Vladimir V. 3 Cheskidov, Alexey 3 Colucci, Renato 3 Czaja, Radosław 3 Deugoue, Gabriel 3 Ding, Xiaoquan 3 Guo, Boling 3 Li, Juntao 3 Li, Ting 3 Li, Xiliang 3 Lorenz, Thomas 3 Melnik, Valery S. 3 Nolasco de Carvalho, Alexandre 3 Qin, Yuming 3 Segatti, Antonio 3 Slavík, Antonín 3 Sui, Meiyu 3 Toscano, Luisa 3 Tran Dinh Ke 3 Wang, Yonghai 3 Yan, Xingjie ...and 404 more Authors
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Cited in 135 Serials

 54 Discrete and Continuous Dynamical Systems. Series B 45 Journal of Differential Equations 38 Journal of Mathematical Analysis and Applications 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Discrete and Continuous Dynamical Systems 20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20 Communications on Pure and Applied Analysis 18 Journal of Mathematical Physics 16 Stochastics and Dynamics 15 Journal of Difference Equations and Applications 14 Journal of Dynamics and Differential Equations 12 Applied Mathematics and Computation 12 Abstract and Applied Analysis 12 Set-Valued and Variational Analysis 8 Set-Valued Analysis 7 Discrete and Continuous Dynamical Systems. Series S 6 Stochastic Analysis and Applications 6 Physica D 5 Applied Mathematics Letters 5 Asymptotic Analysis 5 Cybernetics and Systems Analysis 5 Journal of Mathematical Sciences (New York) 5 Nonlinear Dynamics 5 Nonlinear Analysis. Real World Applications 5 SIAM Journal on Applied Dynamical Systems 5 Boundary Value Problems 5 Journal of Applied Analysis and Computation 4 Applicable Analysis 4 Computers & Mathematics with Applications 4 Ukrainian Mathematical Journal 4 Topological Methods in Nonlinear Analysis 4 Discrete Dynamics in Nature and Society 4 Qualitative Theory of Dynamical Systems 4 Dynamical Systems 4 Electronic Research Archive 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Quarterly of Applied Mathematics 3 Topology and its Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Mathematical Problems in Engineering 3 Journal of Mathematical Fluid Mechanics 3 Communications in Nonlinear Science and Numerical Simulation 3 Advances in Difference Equations 3 Nonautonomous Dynamical Systems 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 Acta Mathematica Vietnamica 2 Applied Mathematics and Optimization 2 Proceedings of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 NoDEA. Nonlinear Differential Equations and Applications 2 Differential Equations and Dynamical Systems 2 Vietnam Journal of Mathematics 2 Taiwanese Journal of Mathematics 2 Revista Matemática Complutense 2 Communications of the Korean Mathematical Society 2 Acta Mathematica Sinica. English Series 2 Differential Equations 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Elliptic and Parabolic Equations 2 Applied Mathematics and Nonlinear Sciences 2 AIMS Mathematics 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Kybernetika 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Systems & Control Letters 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Optimization 1 MCSS. Mathematics of Control, Signals, and Systems 1 The Journal of Geometric Analysis 1 Acta Mathematica Universitatis Comenianae. New Series 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Random Operators and Stochastic Equations 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica ...and 35 more Serials
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Cited in 30 Fields

 425 Partial differential equations (35-XX) 312 Dynamical systems and ergodic theory (37-XX) 108 Ordinary differential equations (34-XX) 102 Probability theory and stochastic processes (60-XX) 74 Fluid mechanics (76-XX) 37 Operator theory (47-XX) 24 Biology and other natural sciences (92-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Difference and functional equations (39-XX) 14 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Numerical analysis (65-XX) 12 Systems theory; control (93-XX) 8 Mechanics of deformable solids (74-XX) 7 General topology (54-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Integral equations (45-XX) 5 Measure and integration (28-XX) 5 Geophysics (86-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 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)