Electron. J. Diff. Eqns., Vol. 2004(2004), No. 107, pp. 122.
Attractors of asymptotically periodic multivalued dynamical
systems governed by timedependent subdifferentials
Noriaki Yamazaki
Abstract:
We study a nonlinear evolution equation associated with timedependent
subdifferential in a separable Hilbert space. In particular,
we consider an asymptotically periodic system, which means that
timedependent terms converge to timeperiodic terms as time approaches
infinity. Then we consider the largetime behavior of solutions
without uniqueness. In such a situation the corresponding dynamical
systems are multivalued. In fact, we discuss the stability of
multivalued semiflows from the viewpoint of attractors.
Namely, the main object of this paper is to construct a global attractor
for asymptotically periodic multivalued dynamical systems,
and to discuss the relationship to one for the limiting periodic systems.
Submitted April 17, 2004. Published September 10, 2004.
Math Subject Classifications: 35B35, 35B40, 35B41, 35K55, 35K90.
Key Words: Subdifferentials; multivalued dynamical systems;
attractors; stability.
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Noriaki Yamazaki
Department of Mathematical Science
Common Subject Division
Muroran Institute of Technology
271 Mizumotocho, Muroran, 0508585, Japan
email: noriaki@mmm.muroranit.ac.jp

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