EXISTENCE AND UPPER SEMICONTINUITY OF ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC LATTICE SYSTEMS WITH RANDOM COUPLED COEFFICIENTS

被引：9

作者：

Wang, Zhaojuan ^{[1
]}

Zhou, Shengfan ^{[2
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 06期

基金：

浙江省自然科学基金; 中国国家自然科学基金;

关键词：

Non-autonomous stochastic lattice dynamical system; random attractor; random coupled coefficient; DYNAMICAL-SYSTEMS; ASYMPTOTIC-BEHAVIOR; KERNEL SECTIONS; SUFFICIENT; EQUATIONS;

D O I：

10.3934/cpaa.2016035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of random attractors in a weighted space l(p)(2) for first-order non-autonomous stochastic lattice system with random coupled coefficients and multiplicative/additive white noise, and establish the upper semicontinuity of random attractors as the intensity of noise approaches zero.

引用

页码：2221 / 2245

页数：25

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