Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 56350, 13 pages
doi:10.1155/2007/56350
Research Article

Existence and Asymptotic Stability of Solutions for Hyperbolic Differential Inclusions with a Source Term

Jong Yeoul Park and Sun Hye Park

 Department of Mathematics, Pusan National University, Pusan 609-735, South Korea
Received 10 October 2006; Revised 26 December 2006; Accepted 16 January 2007

Recommended by Michel Chipot

Abstract

We study the existence of global weak solutions for a hyperbolic differential inclusion with a source term, and then investigate the asymptotic stability of the solutions by using Nakao lemma.