Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials
| dc.contributor.author | Yamazaki, Noriaki | |
| dc.date.accessioned | 2021-05-03T18:45:55Z | |
| dc.date.available | 2021-05-03T18:45:55Z | |
| dc.date.issued | 2004-09-10 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yamazaki, N. (2004). Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials. <i>Electronic Journal of Differential Equations, 2004</i>(107), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13480 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Subdifferentials | |
| dc.subject | Multivalued dynamical systems | |
| dc.subject | Attractors | |
| dc.subject | Stability | |
| dc.title | Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials | en_US |
| dc.type | Article |