Stability in mean of multi-dimensional uncertain differential equation

Yuhong Sheng and Gang Shi

Applied Mathematics and Computation, 2019, vol. 353, issue C, 178-188

Abstract: A multi-dimensional uncertain differential equation is a type of differential equation. Stability of a multi-dimensional means insensitivity of the state of a system to small changes in the initial state. This paper presents a concept of stability in mean for multi-dimensional uncertain differential equation. Some stability theorems for the solution of multi-dimensional uncertain differential equation are given, in which some sufficient conditions for a multi-dimensional uncertain differential equation being stable in mean. In addition, this paper discusses their relationships between stability in measure and stability in mean.

Keywords: Uncertainty theory; Uncertain process; Multi-dimensional uncertain differential equation; Stability in mean (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:353:y:2019:i:c:p:178-188

DOI: 10.1016/j.amc.2019.02.008

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