Stability in distribution for uncertain delay differential equation

Lifen Jia and Yuhong Sheng

Applied Mathematics and Computation, 2019, vol. 343, issue C, 49-56

Abstract: As a type of differential equation, uncertain delay differential equation is driven by Liu process. Stability in measure, stability in mean and stability in moment for uncertain delay differential equation have been proposed. This paper mainly gives a concept of stability in distribution, and proves a sufficient condition for uncertain delay differential equation being stable in distribution as a supplement. Moreover, this paper further discusses their relationships among stability in distribution, stability in measure, stability in mean and stability in moment.

Keywords: Uncertain delay differential equation; Stability; Uncertain process (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:49-56

DOI: 10.1016/j.amc.2018.09.037

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