English

Comparison Theorem for Functional SDEs Driven by $G$-Brownian Motion

Probability 2020-04-28 v2

Abstract

Sufficient and necessary conditions are presented for the comparison theorem of path dependent GG-SDEs. Different from the corresponding study in path independent GG-SDEs, a probability method is applied to prove these results. Moreover, the results extend the ones in the linear expectation case.

Cite

@article{arxiv.2004.02652,
  title  = {Comparison Theorem for Functional SDEs Driven by $G$-Brownian Motion},
  author = {Xing Huang and Fen-Fen Yang},
  journal= {arXiv preprint arXiv:2004.02652},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-23T14:41:00.536Z