Optimal controls for impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients

Abstract

In this paper, we study optimal controls of a class of impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients in Hilbert spaces. Firstly, using interpolation theory, the stochastic analysis techniques and a fixed-point theorem, the existence of p-mean piecewise weighted pseudo almost periodic in distribution mild solutions for the impulsive stochastic control system is presented. Secondly, the existence of optimal pairs of system governed by impulsive partial stochastic differential equations is also obtained. Finally, application to optimal control problems of impulsive parabolic control system is considered.