On existence of solutions of a impulsive stochastic partial functional integro-differential equation with the measure of noncompactness
On existence of solutions of a impulsive stochastic partial functional integro-differential equation with the measure of noncompactness
复制标题
具有非紧性测度的脉冲随机偏泛函积分微分方程解的存在性
DOI：
10.1186/s13662-016-0782-x
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发表时间：
2016-02
影响因子：
4.1
通讯作者：
Xiumei Jia（贾秀梅）
中科院分区：
文献类型：
--
作者：
Zuomao Yan （闫作茂）;Xiumei Jia（贾秀梅）
本文研究了可分Hilbert空间中一类新的具有无限时滞和非瞬时脉冲的脉冲随机偏中立型泛函积分微分方程的温和解的存在性.利用非紧性的Hausdorff测度、解析预解算子理论和闭算子的分数次幂理论，结合不动点定理，得到了新的结果。最后给出了一个例子来说明所得到的理论。
In this article, we study the existence of mild solutions for a new class of impulsive.stochastic partial neutral functional integro-differential equations with infinite delay.and non-instantaneous impulses in separable Hilbert spaces. The new results are.obtained by using the Hausdorff measure of noncompactness, and the theory of.analytic resolvent operators and fractional power of closed operators with the fixed.point theorems. An example is also given to illustrate the obtained theory.