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Indexed by:Journal Papers

Date of Publication:2019-11-01

Journal:DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Included Journals:SCIE

Volume:24

Issue:11

Page Number:5927-5944

ISSN No.:1531-3492

Key Words:Stochastic differential equation; almost periodic solution; asymptotically almost periodic solution; stable in distribution; Lyapunov function

Abstract:In this paper, we discuss the relationships between stability and almost periodicity for solutions of stochastic differential equations. Our essential idea is to get stability of solutions or systems by some inherited properties of Lyapunov functions. Under suitable conditions besides Lyapunov functions, we obtain the existence of almost periodic solutions in distribution.