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Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations
oleh: Junwei Liu, Ruihong Ren, Rui Xie
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2020-03-01 |
Deskripsi
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 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.