Measure pseudo s-asymptotically ω-periodic solution in distribution for some stochastic differential equations with Stepanov pseudo s-asymptotically ω-periodic coefficients

Abstract

In this research paper, a mathematical concept known as the ω-periodic process is discussed, and a new type of processes called the  doubly measure pseudo S-asymptotically ω-periodic in distribution process is set forward. Additionally, the properties of these processes  are identified and invested to tackle the solution of a stochastic differential equation guided by Brownian motion. The basic objective of the current work resides in corroborating the existence and uniqueness of the solution which is doubly measure pseudo S-asymptotically  ω-periodic in distribution.