Stochastic continuity, irreducibility and non confluence for SDEs with   jumps
  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. 
Guangqiang Lan and Jiang-Lun Wu
math.PR