Study the stability of solutions of functional differential equations via fixed points

被引：10

作者：

Pi, Dingheng ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 02期

关键词：

Stable; Asymptotically stable; Fixed points; Variable delay;

D O I：

10.1016/j.na.2010.09.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the stability properties of solutions of a class of functional differential equations with variable delay. By using the fixed point theory under an exponentially weighted metric, we obtain some interesting sufficient conditions ensuring that the zero solution of the equations is stable and asymptotically stable. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：639 / 651

页数：13

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