English

Exponential growth BSDE driven by a marked point process

Probability 2024-04-30 v2

Abstract

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\theta-method, and an approximation procedure. Additionally, we establish the solvability of mean-reflected exponential growth BSDEs driven by the MPP using the θ\theta-method.

Keywords

Cite

@article{arxiv.2310.14728,
  title  = {Exponential growth BSDE driven by a marked point process},
  author = {Zihao Gu and Yiqing Lin and Kun Xu},
  journal= {arXiv preprint arXiv:2310.14728},
  year   = {2024}
}
R2 v1 2026-06-28T12:58:39.789Z