Geodesic
Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35B35, 35B40, 35B41, 35K55, 35K90
Keywords: subdifferentials, multivalued dynamical systems, attractors, stability 
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     author = {Yamazaki, Noriaki},
     title = {Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a152/}
}
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Yamazaki, Noriaki. Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a152/