文章基本信息

标题：Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces
作者：Haijuan Su ; Haijuan Su ; Shengfan Zhou 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：45
DOI：10.1186/s13662-019-1983-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity. Firstly, we transfer the stochastic lattice system into a random lattice system without noise term whose solutions generate a continuous cocycle on a weighted space of infinite sequences. Then we present some sufficient conditions for the existence of a random exponential attractor for a continuous cocycle in the product weighted space of sequences, which improved the existing conditions. Finally, we prove the existence of a random exponential attractor for the considered system in weighted space of sequences.
关键词：Random exponential attractor ; Stochastic lattice system ; Multiplicative white noise ; Cocycle ; Weighted space of sequences