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Homeomorphism flows for SDEs driven by G-Brownian motion with non-Lipschitz coefficients
Stochastics and Dynamics ( IF 1.1 ) Pub Date : 2020-03-19 , DOI: 10.1142/s0219493721500064
Juanfang Liu 1 , Yu Miao 1 , Jianyong Mu 2 , Jie Xu 1
Affiliation  

In this paper, we shall prove the homeomorphism property of solutions for multidimensional stochastic differential equations (SDEs) driven by [Formula: see text]-Brownian motion with non-Lipschitz coefficients with respect to the initial values.

中文翻译:

由具有非李普希茨系数的 G-Brown 运动驱动的 SDE 的同胚流

在本文中,我们将证明多维随机微分方程 (SDE) 的解的同胚性质,该方程由 [公式:见正文]-布朗运动驱动,具有非李普希茨系数,相对于初始值。
更新日期:2020-03-19
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