Attractors for Nonautonomous Multivalued Evolution Systems Generated by Time-Dependent Subdifferentials

Noriaki Yamazaki

Abstract and Applied Analysis, 2002, vol. 7, 1-21

Abstract:

In a real separable Hilbert space, we consider nonautonomous evolution equations including time-dependent subdifferentials and their nonmonotone multivalued perturbations. In this paper, we treat the multivalued dynamical systems associated with time-dependent subdifferentials, in which the solution is not unique for a given initial state. In particular, we discuss the asymptotic behaviour of our multivalued semiflows from the viewpoint of attractors. In fact, assuming that the time-dependent subdifferential converges asymptotically to a time-independent one (in a sense) as time goes to infinity, we construct global attractors for nonautonomous multivalued dynamical systems and its limiting autonomous multivalued dynamical system. Moreover, we discuss the relationship between them.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:217405

DOI: 10.1155/S1085337502204042

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