STABILITY OF THEORETICAL SOLUTION AND NUMERICAL SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PIECEWISE DELAYS

作     者：Li-ping Wen Shou-fu Li 

作者机构：School of Mathematics and Computational Science Xiangtan University Xiangtan 411105 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2005年第23卷第4期

页      面：393-400页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：国家自然科学基金 湖南省自然科学基金 湖南省教育厅项目 

主　　题：Stability Delay differential equations Linear multistep methods 

摘      要：This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of theoretical solution of these problems is given, then numerical stability and asymptotical stability are discussed for a class of multistep methods when applied to these problems.