TY - JOUR T1 - Quasi Contraction of Stochastic Functional Differential Equations AU - Zhao , Jiaxin AU - Li , Zhi AU - Xu , Liping JO - Journal of Partial Differential Equations VL - 2 SP - 220 EP - 234 PY - 2023 DA - 2023/06 SN - 36 DO - http://doi.org/10.4208/jpde.v36.n2.6 UR - https://global-sci.org/intro/article_detail/jpde/21830.html KW - Quasi contraction, contraction, stochastic functional differential equations. AB -

Using a novel approach, we present explicit criteria for the quasi contraction of stochastic functional differential equations. As an application, some sufficient conditions ensuring the contraction property of the solution to the considered equations are obtained. Finally, some examples are investigated to illustrate the theory.