On the p-th mean S-asymptotically omega periodic solution for some Stochastic Evolution Equation driven by Q-Brownian motion

TL;DR

This paper investigates the existence, uniqueness, and stability of p-th mean S-asymptotically omega-periodic solutions for certain stochastic evolution equations driven by Q-Brownian motion, using fixed point and Gronwall techniques.

Contribution

It provides new results on the stability and periodicity of solutions for nonautonomous stochastic evolution equations driven by Q-Brownian motion.

Findings

Established existence and uniqueness of solutions.

Proved asymptotic stability of solutions.

Applied Banach fixed point theorem and Gronwall inequality.

Abstract

In this paper, we make a slight contribution about the existence (uniqueness) and asymptotic stability of the p-th mean S-asymptotically omega-periodic solutions for some nonautonomous Stochastic Evolution Equations driven by a Q-Brownian motion. This is done using the Banach fixed point Theorem and a Gronwall inequality.