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Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials
| Title: | Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials |
| Authors: | Yamazaki, Noriaki Browse this author |
| Keywords: | Subdifferentials | | multivalued dynamical systems | | attractors | | stability |
| Issue Date: | 2004 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 645 |
| Start Page: | 1 |
| End Page: | 27 |
| Abstract: | 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 |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69452 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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