Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
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DOI：
10.1023/a:1022902802385
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发表时间：
2003-06-01
期刊：
影响因子：
--
通讯作者：
Valero, J
中科院分区：
文献类型：
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作者：
Caraballo, T;Langa, JA;Valero, J
本文研究了由微分包含生成的多值过程的拉回全局吸引子的存在性。首先，我们定义了多值动力过程，证明了ω-极限集和全局吸引子的存在性的抽象结果，并研究了它们的拓扑性质（紧性、连通性）。此外，我们将抽象的结果应用到非自治微分包含的反应扩散型，其中强制项可以多项式增长的时间，以及随机微分包含。
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence of omega-limit sets and global attractors, and study their topological properties (compactness, connectedness). Further, we apply the abstract results to nonautonomous differential inclusions of the reaction-diffusion type in which the forcing term can grow polynomially in time, and to stochastic differential inclusions as well.