文章基本信息

标题：The Existence and Exponential Stability for Random Impulsive Integrodifferential Equations of Neutral Type
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作者：Huabin Chen ; Xiaozhi Zhang ; Yang Zhao 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2010
卷号：2010
期号：1
页码：540365
DOI：10.1155/2010/540365
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：Exponential Stability ; Impulsive Differential Equation ; Neutral Type ; Neutral Differential Equation ; Neutral Functional Differential Equation