Stability analysis of general linear methods for nonlinear neutral delay differential equations

被引：5

作者：

Yu, Yuexin ^{[1
]}

Wen, Liping ^{[1
]}

Li, Shoufu ^{[1
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 02期

基金：

中国国家自然科学基金;

关键词：

neutral delay differential equations; general linear methods; stability; asymptotic stability;

D O I：

10.1016/j.amc.2006.09.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is concerned with the numerical solution to initial value problems of neutral delay differential equations (NDDEs). The sufficient conditions for the stability and asymptotic stability of the general linear methods for a class R-alpha,R-beta of nonlinear systems of NDDEs are derived. Numerical test is given that confirm the theoretical results in the end. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1389 / 1398

页数：10

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