The Existence and Exponential Stability for Random Impulsive Integrodifferential Equations of Neutral Type

被引：1

作者：

Chen, Huabin ^{[1
]}

Zhang, Xiaozhi ^{[1
]}

Zhao, Yang ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

FUNCTIONAL-DIFFERENTIAL EQUATIONS; SYSTEMS;

D O I：

10.1155/2010/540365

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying the Banach fixed point theorem and using an inequality technique, we investigate a kind of random impulsive integrodifferential equations of neutral type. Some sufficient conditions, which can guarantee the existence, uniqueness, and exponential stability in mean square for such systems, are obtained. Compared with the previous works, our method is new and our results can generalize and improve some existing ones. Finally, an illustrative example is given to show the effectiveness of the proposed results.

引用

页数：18

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