Existence of pseudo almost periodic mild solutions to impulsive partial stochastic differential equations in Hilbert spaces
Existence of pseudo almost periodic mild solutions to impulsive partial stochastic differential equations in Hilbert spaces
复制标题
希尔伯特空间中脉冲偏随机微分方程伪准周期温和解的存在性
DOI：
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发表时间：
2018
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通讯作者：
Xiumei Jia（贾秀梅）
中科院分区：
文献类型：
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作者：
Zuomao Yan （闫作茂）;Xiumei Jia（贾秀梅）
本文引入了随机过程的p-均值分段伪概周期的概念。并对这类过程建立了一个新的合成定理。利用这一新的复合and.by借助于算子半群理论、随机分析技术和Leray-Schauder非线性变换，研究了一类脉冲偏随机微分方程的p-平均分段伪概周期温和解的存在性.最后，给出了一个脉冲随机热方程的例子来说明我们的结果。
In this paper, we introduce the concept of p-mean piecewise.pseudo almost periodic for a stochastic process. Also it establish a new com-.position theorem for such processes. With this new composition theorem and.by virtue of the theory of operator semigroups, the stochastic analysis tech-.niques and Leray-Schauder nonlinear alternative, we investigate the existence.of p-mean piecewise pseudo almost periodic mild solutions for a class of impul-.sive partial stochastic differential equations. Finally, an example of impulsive.stochastic heat equation is also provided to illustrate our results.