Global attractors for non-autonomous multivalued dynamical systems associated with double obstacle problems
Global attractors for non-autonomous multivalued dynamical systems associated with double obstacle problems
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与双障碍问题相关的非自治多值动力系统的全局吸引子
DOI:
10.3934/proc.2003.2003.935
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发表时间:
2003
期刊:
影响因子:
--
通讯作者:
N. Yamazaki
中科院分区:
文献类型:
--
作者:
N. Yamazaki
In this paper we consider double obstacle problems including regional
economic growth models. Unfortunately, by prescribed double obstacles, our problems lose the uniqueness of solutions. So, our problems have multiple solutions for
a given initial value. Hence, the associated dynamical systems are multivalued. In
this paper we shall consider the large-time behaviour of multiple solutions from the
viewpoint of attractors. Namely, the main object of this paper is to construct the
global attractors for non-autonomous multivalued dynamical systems associated with
double obstacle problems.