Properties of the Flows Generated by Stochastic Equations with Reflection

We consider properties of a random set $\varphi_t(\mathbb{R}_+^d)$, where $\varphi_t(x)$ is a solution of a stochastic differential equation in $\mathbb{R}_+^d$ with normal reflection on the boundary starting at the point $x$. We perform the characterization of inner and boundary points of the set...

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Bibliographic Details
Date:2005
Main Authors: Pilipenko, A. Yu., Пилипенко, А. Ю.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3665
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal