Journal of Applied Mathematics
Volume 2011 (2011), Article ID 452087, 13 pages
http://dx.doi.org/10.1155/2011/452087
Research Article

Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations

School of Mathematics and Information, Ludong University, Shandong,Yantai 264025, China

Received 21 June 2011; Accepted 15 August 2011

Academic Editor: F. Marcellán

Copyright © 2011 Jie Xin and Hong Lu. 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

We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.