English

Rough differential equations with path-dependent coefficients

Probability 2020-01-30 v1 Classical Analysis and ODEs

Abstract

We establish the existence of solutions to path-dependent rough differential equations with non-anticipative coefficients. Regularity assumptions on the coefficients are formulated in terms of horizontal and vertical derivatives.

Keywords

Cite

@article{arxiv.2001.10688,
  title  = {Rough differential equations with path-dependent coefficients},
  author = {Anna Ananova},
  journal= {arXiv preprint arXiv:2001.10688},
  year   = {2020}
}