




















In this paper, we study the weak irreducibility of stochastic delay differential equations(SDDEs) driven by pure jump noise. The main contribution of this paper is to provide a concise proof of weak irreducibility, releasing condition (A1-3) in Assumption 2.1 from the literature \cite{WYZZ1}. As an application, we derive the weak irreducibility of SDDEs with weakly dissipative coefficients. An important novelty of this paper is to allow the driving noises to be degenerate. This closes the gap of the irreducibility of SDDEs driven by pure jump noise.
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。