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Artículo
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Asymptotic Behaviour of Monotone Multi-Valued Dynamical Systems
(2005)
We introduce the concept of a monotone multi-valued semi- ow as an order-preserving map. This de nition is motivated by the applications in the theory of di¤erential equations without uniqueness of solutions. For an order ...
Artículo
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Addendum To "Global Attractors for Multivalued Random Dynamical Systems'' [Nonlinear Analysis 48(2002) 805-829]
(2005)
The aim of this note is to clarify a misleading statement which appeared in our fi rst paper dealing with the concept of global random attractor for multivalued random dynamical systems, as well as in the subsequent work
Ponencia
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Approximation of attractors for multivalued random dynamical systems
(Masaryk University, 2001)
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint generalization of the theory of random attractors for random dynamical systems and global attractors ...
Artículo
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The dimension of attractors of nonautonomous partial differential equations
(2003)
The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of general nonautonomous partial differential equations. This is a time-dependent family of compact ...
Artículo
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On the relationship between solutions of stochastic and random differential inclusions
(2003)
Some results on the relationship of the solutions of a stochastic di erential inclusion and the corresponding random di erential inclusion obtained after a change of variable are proved. As a consequence, we obtain the ...
Artículo
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Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise
(2001)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour ...
Artículo
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Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
(Springer, 2020)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the ...
Artículo
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Morse decomposition of global attractors with infinite components
(2015)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption ...
Artículo
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Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
(2003)
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence ...
Artículo
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Global Attractors for Multivalued Random Dynamical Systems
(2002)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour ...