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- Title
Existence and global attractiveness of pseudo almost periodic solutions to impulsive partial stochastic neutral functional differential equations.
- Authors
Zuomao Yan; Fangxia Lu
- Abstract
In this paper, we introduce a new concept of p-mean piecewise pseudo almost periodic for a stochastic process and establish a new composition theorem about pseudo almost periodic functions under non-Lipschitz conditions. Using this composition theorem, the analytic semigroup theory and fixed point strategy with stochastic analysis theory, we also study the existence and the global attractiveness for p-mean piecewise pseudo almost periodic mild solutions for impulsive partial neutral stochastic neutral functional differential equations. Moreover, an example is given to illustrate the general theorems.
- Subjects
STOCHASTIC processes; PERIODIC functions; FIXED point theory; FUNCTIONAL differential equations; MATHEMATICS theorems
- Publication
Journal of Computational Analysis & Applications, 2019, Vol 26, Issue 1, p1343
- ISSN
1521-1398
- Publication type
Article