arXiv Analytics

Sign in

arXiv:1902.05838 [math.PR]AbstractReferencesReviewsResources

On Skorokhod Problem with Two RCLL Reflecting Completely Separated Barriers

Rachid Belfadli, Imane Jarni, Youssef Ouknine

Published 2019-02-15Version 1

In this paper we deal with Skorokhod problem for right continuous left limits (rcll) barriers. We prove the existence and uniqueness of the solution when the barriers are only supposed to be rcll and completely separated. Then, we apply our result to prove the existence and uniqueness of the solution of a reflected stochastic differential equation (SDE).

Related articles: Most relevant | Search more
arXiv:0712.2863 [math.PR] (Published 2007-12-18)
The Skorokhod problem in a time-dependent interval
arXiv:2306.16711 [math.PR] (Published 2023-06-29)
The Skorokhod problem with two nonlinear constraints
arXiv:1611.06745 [math.PR] (Published 2016-11-21)
Reflected BSDEs with general filtration and two completely separated barriers