English

Stochastic continuity, irreducibility and non confluence for SDEs with jumps

Probability 2014-07-08 v1

Abstract

In this paper, we investigate stochastic continuity (with respect to the initial value), irreducibility and non confluence property of the solutions of stochastic differential equations with jumps. The conditions we posed are weaker than those relevant conditions existing in the literature. We also provide an example to support our new conditions.

Keywords

Cite

@article{arxiv.1407.1658,
  title  = {Stochastic continuity, irreducibility and non confluence for SDEs with jumps},
  author = {Guangqiang Lan and Jiang-Lun Wu},
  journal= {arXiv preprint arXiv:1407.1658},
  year   = {2014}
}

Comments

16 pages