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

被引:0
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作者
Huabin Chen
Xiaozhi Zhang
Yang Zhao
机构
[1] Nanchang University,Department of Mathematics
关键词
Exponential Stability; Impulsive Differential Equation; Neutral Type; Neutral Differential Equation; Neutral Functional Differential Equation;
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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.
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