Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations

被引：1

作者：

Liu, Junwei ^{[1
]}

Ren, Ruihong ^{[1
]}

Xie, Rui ^{[2
]}

机构：

[1] Yanshan Univ, Coll Sci, Qinhuangdao, Hebei, Peoples R China

[2] Tianjin Univ Commerce, Dept Math, Tianjin, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Square-mean piecewise almost automorphic function; Theory of semigroups of operators; Contraction mapping principle; Impulsive stochastic evolution equations; Generalized Gronwall-Bellman inequality; NICHOLSONS BLOWFLIES MODEL; ALMOST-PERIODIC SOLUTIONS;

D O I：

10.1186/s13662-020-02574-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of square-mean piecewise almost automorphic function. By using the theory of semigroups of operators and the contraction mapping principle, the existence of square-mean piecewise almost automorphic mild solutions for linear and nonlinear impulsive stochastic evolution equations is investigated. In addition, the exponential stability of square-mean piecewise almost automorphic mild solutions for nonlinear impulsive stochastic evolution equations is obtained by the generalized Gronwall-Bellman inequality. Finally, we provide an illustrative example to justify the results.

引用

页数：19

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