Some results about uncertain differential equations with time-dependent delay

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摘要

Uncertain differential equations with time-dependent delay are a type of differential equations driven by Liu process. This paper mainly proves that this type of uncertain differential equations have unique solutions in the infinite domain under some conditions. In addition, we also focus on the stability of uncertain differential equations with time-dependent delay, and some correspondence results are shown in the form of theorems.

论文关键词:Uncertain differential equation with time-dependent delay,Existence and uniqueness,Stability in measure,Stability in mean

论文评审过程:Received 15 April 2018, Revised 2 September 2019, Accepted 9 September 2019, Available online 20 September 2019, Version of Record 20 September 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.124747