Author:
Liu Junwei,Ren Ruihong,Xie Rui
Abstract
AbstractIn 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.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Hebei Province
Tianjin Science and Technology Committee
Doctoral Scientific Research Foundation of Tianjin University of Commerce
National Nurture Fund of Tianjin University of Commerce
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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