Analytical and numerical stability of nonlinear neutral delay integro-differential equations

被引：9
|
作者：
Hu, Peng [1 ]
Huang, Chengming [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2011年 / 348卷 / 06期
基金：
美国国家科学基金会;
关键词：
RUNGE-KUTTA METHODS; INTEGRO-DIFFERENTIAL EQUATIONS; GENERAL LINEAR METHODS; ONE-LEG METHODS; ASYMPTOTIC STABILITY; MULTISTEP METHODS; SYSTEMS; CONTRACTIVITY; CRITERIA;
D O I：
10.1016/j.jfranklin.2011.04.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we are concerned with the analytical and numerical stability of nonlinear neutral delay integro-differential equations (NDIDEs). First, sufficient conditions for the analytical stability of nonlinear NDIDEs with a variable delay are derived. Then, we show that any A-stable linear multistep method can preserve the asymptotic stability of the analytical solution for nonlinear NDIDEs with a constant delay. At last, we validate our conclusions by numerical experiments. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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页码：1082 / 1100
页数：19
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