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23 September 2002 Attractors for nonautonomous multivalued evolution systems generated by time-dependent subdifferentials
Noriaki Yamazaki
Abstr. Appl. Anal. 7(9): 453-473 (23 September 2002). DOI: 10.1155/S1085337502204042


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.


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Noriaki Yamazaki. "Attractors for nonautonomous multivalued evolution systems generated by time-dependent subdifferentials." Abstr. Appl. Anal. 7 (9) 453 - 473, 23 September 2002.


Published: 23 September 2002
First available in Project Euclid: 14 April 2003

zbMATH: 1022.34046
MathSciNet: MR1934201
Digital Object Identifier: 10.1155/S1085337502204042

Primary: 34D45 , 35K55
Secondary: 35K90 , 37B55

Rights: Copyright © 2002 Hindawi

Vol.7 • No. 9 • 23 September 2002
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