RANDOM ATTRACTOR FOR STOCHASTIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

被引：1
|
作者：
You, Honglian [1 ]
Yuan, Rong [2 ]
机构：
[1] Binzhou Univ, Dept Math, Binzhou 256600, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 05期
基金：
中国国家自然科学基金;
关键词：
random attractor; Hille-Yosida; tempered; infinite delay; REACTION-DIFFUSION EQUATIONS; RANDOM DYNAMICAL-SYSTEMS; UNBOUNDED-DOMAINS;
D O I：
10.4134/BKMS.2014.51.5.1469
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we are concerned with a class of stochastic partial functional differential equations with infinite delay. Supposing that the linear part is a Hille-Yosida operator but not necessarily densely defined and employing the integrated semigroup and random dynamics theory, we present some appropriate conditions to guarantee the existence of a random attractor.
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页码：1469 / 1484
页数：16
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