Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 42540, 8 pages
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

Copyright © 2007 Y. Xu et al. 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.


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.