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Existence and global attractiveness of pseudo almost periodic solutions to impulsive partial stochastic neutral functional differential equations.

Authors :
Zuomao Yan
Fangxia Lu
Source :
Journal of Computational Analysis & Applications. 7/1/2019, Vol. 26 Issue 8, p1343-1386. 44p.
Publication Year :
2019

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 diffrential equations. Moreover, an example is given to illustrate the general theorems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15211398
Volume :
26
Issue :
8
Database :
Academic Search Index
Journal :
Journal of Computational Analysis & Applications
Publication Type :
Academic Journal
Accession number :
129613110