Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay
Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay
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DOI：
10.1007/s13348-012-0063-2
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发表时间：
2013-05
影响因子：
1.1
通讯作者：
Zuomao Yan;Xing-Xue Yan
中科院分区：
文献类型：
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作者：
Zuomao Yan;Xing-Xue Yan
本文研究了一类具有状态相关时滞的脉冲偏随机中立型积分微分方程的温和解的存在性。利用Krasnoselskii-Schaefer型不动点定理，利用算子的分数次幂，建立了温和解存在的充分条件。最后给出了一个例子来说明我们的结果。
In this paper, we consider the existence of mild solutions for a class of impulsive partial stochastic neutral integrodifferential equations with state-dependent delay in anα-norm. Sufficient conditions for the existence of mild solutions are established using the Krasnoselskii–Schaefer type fixed point theorem with the fractional power of operators. An example is given to illustrate our results.