English

G-BSDEs with time-varying monotonicity condition

Probability 2026-03-10 v2

Abstract

In this paper, we study backward stochastic differential equations driven by G-Brownian motion where the generator has time-varying monotonicity with respect to y and Lipsitz property with respect to z. Through the Yosida approximation, we have proved the existence and uniqueness of the solutions to these equations.

Keywords

Cite

@article{arxiv.2601.03006,
  title  = {G-BSDEs with time-varying monotonicity condition},
  author = {Renxing Li and Xue Zhang},
  journal= {arXiv preprint arXiv:2601.03006},
  year   = {2026}
}
R2 v1 2026-07-01T08:52:37.481Z