Pseudo almost periodic in distribution solutions to impulsive partial stochastic functional differential equations

被引：2

作者：

Yan, Zuomao ^{[1
]}

Lu, Fangxia ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye, Peoples R China

来源：

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2019年 / 91卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Impulsive partial stochastic functional differential equations; piecewise pseudo almost periodic functions; Pseudo almost periodic in distribution; analytic semigroup theory; fixed point; INTEGRODIFFERENTIAL EQUATIONS; AUTOMORPHIC SOLUTIONS; EXISTENCE; DRIVEN; STABILITY;

D O I：

10.1080/17442508.2018.1557185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the piecewise pseudo almost periodicity in distribution for a stochastic process. Using the analytic semigroup theory and fixed point strategy with stochastic analysis theory, we obtain the existence and the exponential stability of piecewise pseudo almost periodic in distribution mild solutions for impulsive partial neutral stochastic functional differential equations under non-Lipschitz conditions. Moreover, an example is given to illustrate the general theorems.

引用

页码：553 / 591

页数：39

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