Research Article

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

Published in: Quaestiones Mathematicae
Volume 47 , issue 11 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 2195–2213
DOI: 10.2989/16073606.2024.2367072
Author(s): Mondher Damak Faculty of Sciences, Sfax University, Tunisia, Ekar Sidi Abdalla Faculty of Sciences, Sfax University, Tunisia,
Keywords: 34K14, 60H10, 60H20, Stochastic differential equation, pseudo asymptotically periodic in distribution, Stepanov pseudo asymptotically periodic, doubly measure,
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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 -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 -asymptotically ω-periodic in distribution.
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