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.

引用

页码：1469 / 1484

页数：16

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