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On asymptotically periodic solution of a stochastic differential equation (1812.03602v1)
Published 10 Dec 2018 in math.PR
Abstract: In this paper, we first introduce the concept and properties of {\omega}- periodic limit process. Then we apply specific criteria obtained to investigate asymptotically {\omega}-periodic mild solutions of a Stochastic Differential Equation driven by a Brownian motion. Finally, we give an example to show usefulness of the theoritical results that we obtain in the paper.