Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 80935, 11 pages
doi:10.1155/2007/80935
Research Article

Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations

Jin Liang,1 James Liu,2 and Ti-Jun Xiao1

 1Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
2Department of Mathematics and Statistics, James Madison University, Harrisonburg 22807, VA, USA
Received 18 March 2007; Accepted 26 June 2007

Recommended by Marta Garcia-Huidobro

Abstract

By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obtained, which generalize some previous results by Fattorini (1987) and Liu (1993).