Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials

Yamazaki, Noriaki

Hokkaido University Preprint Series in Mathematics, 2004, 645, 1-27

Permalink : https://doi.org/10.14943/83798

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DOI	https://doi.org/10.14943/83798
URI	https://hdl.handle.net/2115/69452
タイトル	Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials
著者	著者名 Yamazaki, Noriaki
言語	英語
キーワード	Subdifferentials
	multivalued dynamical systems
	attractors
	stability
発行日	2004
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	645
ページ	1-27
抄録	Let us consider a nonlinear evolution equation associated with time-dependent subdifferential in a separable Hilbert space. In this paper we treat an asymptotically periodic system which means that time-dependent terms converge to some time-periodic ones as time goes to +∞. Then we consider the large-time behaviour 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 the asymptotically periodic multivalued dynamical system, and to discuss the relationship to one for the limiting periodic system
資源タイプ	紀要論文
出版タイプ	Version of Record