Existence of random attractors for a class of second-order lattice dynamical systems with Brownian motions
type: Item
instance of: scholarly article
title: Existence of random attractors for a class of second-order lattice dynamical systems with Brownian motions
zbMATH Open document ID: 1407.37082
DOI: 10.1155/2014/970120
author: Yamin Wang
author: Ziqiao Huang
author: Stanislao Lauria
author: Yurong Liu
author: Fuad E. Alsaadi
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper is concerned with the random attractors for a class of second-order stochastic lattice dynamical systems. We first prove the uniqueness and existence of the solutions of second-order stochastic lattice dynamical systems in the space \(F = l_\lambda^2 \times l^2\). Then, by proving the asymptotic compactness of the random dynamical systems, we establish the existence of the global random attractor. The system under consideration is quite general, and many existing results can be regarded as the special case of our results.
Mathematics Subject Classification ID: 37H10
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 37L60
zbMATH DE Number: 7017740
Wikidata QID: Q59071258
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/970120
OpenAlex ID: W2097922181
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description: scientific article; zbMATH DE number 7017740