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Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations.
- Source :
-
Advances in Difference Equations . 3/23/2020, Vol. 2020 Issue 1, p1-19. 19p. - Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2020
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 142383597
- Full Text :
- https://doi.org/10.1186/s13662-020-02574-4