English

Strong solutions for stochastic differential equations with jumps

Probability 2010-08-04 v2

Abstract

General stochastic equations with jumps are studied. We provide criteria for the uniqueness and existence of strong solutions under non-Lipschitz conditions of Yamada-Watanabe type. The results are applied to stochastic equations driven by spectrally positive L\'evy processes.

Keywords

Cite

@article{arxiv.0910.0950,
  title  = {Strong solutions for stochastic differential equations with jumps},
  author = {Zenghu Li and Leonid Mytnik},
  journal= {arXiv preprint arXiv:0910.0950},
  year   = {2010}
}

Comments

16 pages

R2 v1 2026-06-21T13:54:35.992Z