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.
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页数：19
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