Quadratic-mean pseudo almost periodic solutions to some stochastic differential equations in a Hilbert space
This paper introduces the concept of quadratic-mean pseudo almost periodicity and gives some fundamental properties. In particular, it establishes a composition theorem of this kind of functions. As an application, and by virtue of the theory of the semi-groups of the operators, the Banach fixed point theorem and the stochastic analysis techniques, this paper investigates the existence of the quadratic-mean pseudo almost periodic solutions for a general class of delayed stochastic evolution equations in a Hilbert space.
quadratic-mean pseudo almost periodic stochastic differential equation fixed-point theorems 34c27 47h10 65c30