Discrete Dynamics in Nature and Society 
Volume 2007 (2007), Article ID 42540, 8 pages
doi:10.1155/2007/42540
Research Article

Stability Analysis of θ-Methods for Neutral Multidelay Integrodifferential System

Y. Xu, J. J. Zhao, and Z. N. Sui

 Department of Mathematics, School of Science, Harbin Institute of Technology, Harbin 150001, China
Received 12 June 2007; Revised 24 September 2007; Accepted 22 October 2007

Abstract

This paper studies the stability of a class of neutral delay integrodifferential system. A necessary and sufficient condition of stability for its analytic solutions is considered. The improved θ-methods are developed. Some numerical stability properties are obtained and numerical experiments are given.