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- Title
Pseudo Almost Periodicity and Its Applications to Impulsive Nonautonomous Partial Functional Stochastic Evolution Equations.
- Authors
Yan, Zuomao; Jia, Xiumei
- Abstract
In this paper, we establish a new composition theorem for pseudo almost periodic functions under non-Lipschitz conditions. We apply this new composition theorem together with a fixed-point theorem for condensing maps to investigate the existence of p $p$ -mean piecewise pseudo almost periodic mild solutions for a class of impulsive nonautonomous partial functional stochastic evolution equations in Hilbert spaces, and then, the exponential stability of p $p$ -mean piecewise pseudo almost periodic mild solutions is studied. Finally, an example is given to illustrate our results.
- Subjects
STOCHASTIC analysis; NUMERICAL analysis; MATHEMATICAL models; MATHEMATICAL functions; MATHEMATICAL analysis
- Publication
International Journal of Nonlinear Sciences & Numerical Simulation, 2018, Vol 19, Issue 5, p511
- ISSN
1565-1339
- Publication type
Article
- DOI
10.1515/ijnsns-2017-0086