Department of Mathematical Science
Common Subject Division
Muroran Institute of Technology
27-1 Mizumoto-cho, Muroran, 050-8585, Japan
email: noriaki@mmm.muroran-it.ac.jp
Noriaki Yamazaki
Abstract:
We study a nonlinear evolution equation associated with time-dependent
subdifferential in a separable Hilbert space. In particular,
we consider an asymptotically periodic system, which means that
time-dependent terms converge to time-periodic terms as time approaches
infinity. Then we consider the large-time 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 view-point 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 27-1 Mizumoto-cho, Muroran, 050-8585, Japan email: noriaki@mmm.muroran-it.ac.jp |
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