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.
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页数：14
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