Nonlinear stability of θ-methods for neutral differential equations in Banach space

被引：20

作者：

Wang, Wansheng ^{[1
,2
]}

Wen, Liping ^{[2
]}

Li, Shoufu ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Computat Sci, Changsha 410076, Hunan, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 198卷 / 02期

基金：

中国国家自然科学基金;

关键词：

stability; theta-methods; neutral delay differential equations; Banach space;

D O I：

10.1016/j.amc.2007.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the stability properties of theoretical solution and numerical solution to nonlinear neutral differential equations with two delays in Banach space. Some sufficient conditions for the stability and asymptotic stability of the systems are given. The numerical stability of theta-methods when applied to the systems is also considered. A series of new stability results of theta-methods are obtained. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：742 / 753

页数：12

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