Stochastic Gronwall's inequality in random time horizon and its application to BSDE
Probability
2019-09-04 v2
Abstract
In this paper, we introduce and prove a stochastic Gronwall's inequality in (unbounded) random time horizon. As an application, we prove a comparison theorem for backward stochastic differential equation (BSDE for short) with random terminal time under stochastic monotonicity condition.
Keywords
Cite
@article{arxiv.1903.09902,
title = {Stochastic Gronwall's inequality in random time horizon and its application to BSDE},
author = {Hun O and Mun-Chol Kim and Chol-Gyu Pak},
journal= {arXiv preprint arXiv:1903.09902},
year = {2019}
}