Abstract and Applied Analysis
Volume 2012 (2012), Article ID 409282, 27 pages
http://dx.doi.org/10.1155/2012/409282
Research Article

Random Attractors for Stochastic Retarded Lattice Dynamical Systems

Xiaoquan Ding1 and Jifa Jiang2

1School of Mathematics and Statistics, Henan University of Science and Technology, Henan, Luoyang 471023, China
2School of Mathematics and Science, Shanghai Normal University, Shanghai 200234, China

Received 27 August 2012; Accepted 16 September 2012

Academic Editor: Jinhu Lü

Copyright © 2012 Xiaoquan Ding and Jifa Jiang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets.