Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 56350, 13 pages
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

Academic Editor: Michel Chipot

Copyright © 2007 Jong Yeoul Park and Sun Hye Park. 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.


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.