Existence of almost periodic solutions to some stochastic differential equations

Abstract

The article introduces and studies the concept of p-mean almost periodicity for stochastic processes. Our abstract results are, subsequently, applied to studying the existence of square-mean almost periodic solutions to some semilinear stochastic equations.

Keywords:

• Stochastic processes
• p-Mean almost periodicity
• Stochastic differential equations
• Stochastically bounded
• Square mean almost periodic

Keywords:

• 2000 Mathematics Subject Classifications:
• 34K14
• 60H10
• 35B15
• 34F05