On the Skorokhod mapping for equations with reflection and possible jump-like exit from a boundary

For a solution of a reflection problem on a half-line similar to the Skorokhod reflection problem but with possible jump-like exit from zero, we obtain an explicit formula and study its properties. We also construct a Wiener process on a half-line with Wentzell boundary condition as a strong soluti...

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Bibliographic Details
Date:2011
Main Authors: Pilipenko, A. Yu., Пилипенко, А. Ю.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2011
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2801
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal