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

被引：0
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作者：
Junwei Liu
Ruihong Ren
Rui Xie
机构：
[1] Yanshan University,College of Science
[2] Tianjin University of Commerce,Department of Mathematics
来源：
Advances in Difference Equations | / 2020卷
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;
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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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