Yamazaki, Noriaki2021-05-032021-05-032004-09-10Yamazaki, N. (2004). Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials. <i>Electronic Journal of Differential Equations, 2004</i>(107), pp. 1-22.1072-6691https://hdl.handle.net/10877/13480We 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.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalSubdifferentialsMultivalued dynamical systemsAttractorsStabilityArticle