Existence of pseudo almost periodic mild solutions to impulsive partial stochastic differential equations in Hilbert spaces

摘要

In this paper, we introduce the concept of p-mean piecewise pseudo almost periodic for a stochastic process. Also it establish a new composition theorem for such processes. With this new composition theorem and by virtue of the theory of operator semigroups, the stochastic analysis techniques and Leray-Schauder nonlinear alternative, we investigate the existence of p-mean piecewise pseudo almost periodic mild solutions for a class of impulsive partial stochastic differential equations. Finally, an example of impulsive stochastic heat equation is also provided to illustrate our results.