English

The Equivalence between Uniqueness and Continuous Dependence of Solution for BSDEs with Continuous Coefficient

Probability 2008-03-27 v1

Abstract

In this paper, we will prove that, if the coefficient g=g(t,y,z)g=g(t,y,z) of a BSDE is assumed to be continuous and linear growth in (y,z)(y,z), then the uniqueness of solution and continuous dependence with respect to gg and the terminal value ξ\xi are equivalent.

Cite

@article{arxiv.0803.3660,
  title  = {The Equivalence between Uniqueness and Continuous Dependence of Solution for BSDEs with Continuous Coefficient},
  author = {Guangyan Jia and Zhiyong Yu},
  journal= {arXiv preprint arXiv:0803.3660},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T10:24:29.427Z