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

Advances in Difference Equations

Huabin Chen¹  Yang Zhao¹  Xiaozhi Zhang¹ 

[1] Department of Mathematics, Nanchang University, Nanchang, China

关键词: Exponential Stability;    Impulsive Differential Equation;    Neutral Type;    Neutral Differential Equation;    Neutral Functional Differential Equation;   

DOI  :  10.1155/2010/540365

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY