Stochastic invariance for hybrid stochastic differential equation with non-Lipschitz coefficients

In this paper, by using of the martingale property and positive maximum principle, we investigate the stochastic invariance for a class of hybrid stochastic differential equations (HSDEs) and provide necessary and sufficient conditions for the invariance of closed sets of $\mathbb{R}^d$ with non-Lip...

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Bibliographic Details
Main Authors: Chunhong Li, Sanxing Liu
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020234/fulltext.html