Exponential growth BSDE driven by a marked point process

Fuente: arXiv
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Main Authors: Gu, Zihao, Lin, Yiqing, Xu, Kun
Format: Preprint
Published: 2023
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author Gu, Zihao
Lin, Yiqing
Xu, Kun
author_facet Gu, Zihao
Lin, Yiqing
Xu, Kun
contents In this study, we investigate the well-posedness of exponential growth backward stochastic differential equations (BSDEs) driven by a marked point process (MPP) under unbounded terminal conditions. Our analysis utilizes a fixed-point argument, the $θ$-method, and an approximation procedure. Additionally, we establish the solvability of mean-reflected exponential growth BSDEs driven by the MPP using the $θ$-method.
format Preprint
id arxiv_https___arxiv_org_abs_2310_14728
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Exponential growth BSDE driven by a marked point process
Gu, Zihao
Lin, Yiqing
Xu, Kun
Probability
In this study, we investigate the well-posedness of exponential growth backward stochastic differential equations (BSDEs) driven by a marked point process (MPP) under unbounded terminal conditions. Our analysis utilizes a fixed-point argument, the $θ$-method, and an approximation procedure. Additionally, we establish the solvability of mean-reflected exponential growth BSDEs driven by the MPP using the $θ$-method.
title Exponential growth BSDE driven by a marked point process
topic Probability
url https://arxiv.org/abs/2310.14728