Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces

被引：14

作者：

Wang, Wansheng ^{[1
]}

Fan, Qin ^{[1
]}

Zhang, Yuan ^{[1
]}

Li, Shoufu ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Computat Sci, Hunan 410114, Peoples R China

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 237卷

基金：

中国国家自然科学基金;

关键词：

Neutral functional differential equations; Volterra functional differential equations; Volterra partial functional differential equations; Delay integro-differential equations of "Hale's" form; Asymptotic stability; Banach spaces; RUNGE-KUTTA METHODS; GENERAL LINEAR METHODS; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL-METHODS; B-THEORY; CONTRACTIVITY; SYSTEMS;

D O I：

10.1016/j.amc.2014.03.111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic stability properties of the solution to nonlinear neutral and Volterra functional differential equations. Some sufficient conditions for the asymptotic stability of the systems are given. As an illustration of the applications of these investigations, the contractivity and asymptotic stability results of the solution to Volterra partial functional differential equations and delay integro-differential equations of "Hale's" form are obtained respectively. These results form the basis for obtaining insight into the analogous properties of their numerical solutions. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：217 / 226

页数：10

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