STABILITY FOR LINEAR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS

被引：0

作者：

Ardjouni, Abdelouaheb ^{[1
]}

Djoudi, Ahcene ^{[1
]}

Soualhia, Imene ^{[1
]}

机构：

[1] Badji Mokhtar Univ Annaba, Appl Math Lab, Fac Sci, Dept Math, Annaba 23000, Algeria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Fixed point; stability; integro-differential equation; variable delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; FIXED-POINTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study a linear neutral integro-differential equation with variable delays and give suitable conditions to obtain asymptotic stability of the zero solution, by means of fixed point technique. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes previous results due to Burton [5], Becker and Burton [4] and Jin and Luo [15]. We provide an example that illustrates our results.

引用

页数：14

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