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

Abstract 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 sto...

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Bibliographic Details

Published in:	Advances in Difference Equations
Main Authors:	Junwei Liu, Ruihong Ren, Rui Xie
Format:	Article
Language:	English
Published:	SpringerOpen 2020-03-01
Subjects:	Square-mean piecewise almost automorphic function Theory of semigroups of operators Contraction mapping principle Impulsive stochastic evolution equations Generalized Gronwall–Bellman inequality
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02574-4