Square-mean almost periodic solutions nonautonomous stochastic differential equations

Abstract

This paper concerns the square-mean almost periodic solutions to a class of nonautonomous stochastic differential equations on a separable real Hilbert space. Using the so-called "Acquistapace-Terreni" conditions, we establish the existence and uniqueness of a square-mean almost periodic mild solution to those nonautonomous stochastic differential equations.

Keywords

• Stochastic differential equation
• stochastic processes
• square-mean almost periodic
• Wiener process
• Acquistapace-Terreni conditions