Attractors of Weakly Asymptotically Compact Set-Valued Dynamical Systems
Attractors of Weakly Asymptotically Compact Set-Valued Dynamical Systems
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DOI：
10.1007/s11228-004-0047-9
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发表时间：
2005-12
期刊：
影响因子：
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通讯作者：
P. Kloeden;J. Valero
中科院分区：
文献类型：
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作者：
P. Kloeden;J. Valero
对于弱渐近紧和弱耗散的集值动力系统，建立了弱吸引子的存在性。这里弱性质是指对于每个初始值至少有一个轨迹。给出了保证弱吸引子唯一性的一个条件。用一个涉及有界和无界域上的偏微分包含的应用说明了结果。
The existence of weak attractors is established for set-valued dynamical systems which are weakly asymptotically compact and weakly dissipative. Here weak properties mean with respect to at least one trajectory for each initial value. A condition ensuring the uniqueness of such weak attractors is given. The results are illustrated with an application involving a partial differential inclusion in bounded and unbounded domains.