Volume no :1, Issue no: 1, February (2009)

Journal of Pure and Applied Mathematics: Advances and Applications

THE EXISTENCE OF COMPACT EXPONENTIAL ATTRACTING SET FOR REACTION DIFFUSION EQUATION IN

Author's: Yongjun Li, Zilong Zang and Yanhong Zhang
Pages: [83] - [94]
Received Date: November 23, 2008
Submitted by: Jingtang Ma

Abstract

Using the measure of non-compactness, we prove the existence of compact exponential attracting set for general dynamical system and give a method for proving the existence of compact exponential attracting set. As application, we prove the existence of compact exponential set for reaction diffusion equation in

Keywords

dynamical system, attractor, measure of non-compactness, reaction diffusion equation.