Some results about uncertain differential equations with time-dependent delay

Xiao Wang, Yufu Ning and Zhen Peng

Applied Mathematics and Computation, 2020, vol. 366, issue C

Abstract: 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.

Keywords: Uncertain differential equation with time-dependent delay; Existence and uniqueness; Stability in measure; Stability in mean (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307398

DOI: 10.1016/j.amc.2019.124747

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