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- W317825832 abstract "In this paper let us consider double obstacle problems, which includes regional economic growth models. By prescribed time-dependent obstacles, our problems are nonautonomous systems and it is impossible to show the uniqueness of solutions. Therefore the associated dynamical systems are multivalued. In this paper from the viewpoint of attractors we shall consider the periodic stability for the double obstacle problem with asymptotically periodic data. Namely, assuming that time-dependent data converges to time-periodic ones as time goes to infinity, we shall construct the global attractor for the asymptotically periodic multivalued dynamical system. Moreover we shall discuss the relationship to the attractor for the limiting periodic problem. This work is partially supported by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Young Scientists (B), No.14740109. AMS Subject Classification 35B35, 35B40, 35B41, 35K55" @default.
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- W317825832 date "2004-01-01" @default.
- W317825832 modified "2023-09-28" @default.
- W317825832 title "Stability for asymptotically periodic multivalued dynamical systems generated by double obstacle problems" @default.
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