Reflected BSDEs with general filtration and two completely separated barriers

We consider reflected backward stochastic differential equations, with two barriers, defined on probability spaces equipped with filtration satisfying only the usual assumptions of right continuity and completeness. As for barriers we assume that there are càdlàg processes of class D that are comple...

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Bibliographic Details
Published in:arXiv.org 2018-10
Main Author: Topolewski, Mateusz
Format: Article
Language:English
Subjects:
Differential equations
Filtration
Zero sum games
Online Access:Get full text
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Summary:We consider reflected backward stochastic differential equations, with two barriers, defined on probability spaces equipped with filtration satisfying only the usual assumptions of right continuity and completeness. As for barriers we assume that there are càdlàg processes of class D that are completely separated. We prove the existence and uniqueness of solutions for integrable final condition and integrable monotone generator. An application to zero-sum Dynkin game is given.
ISSN:2331-8422