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Article type: Research Article
Authors: Zhang, Zhiqianga; b; * | Gao, Rongc | Yang, Xiangfengc
Affiliations: [a] School of Economics and Management, Shanxi University, Taiyuan, China | [b] School of Mathematics and Computer Science, Shanxi Datong University, Datong, China | [c] Department of Mathematical Sciences, Tsinghua University, Beijing, China
Correspondence: [*] Corresponding author. Zhiqiang Zhang, School of Economics and Management, Shanxi University, Taiyuan 030006, China. Tel: +86 13994358654. E-mail: [email protected].
Abstract: This paper focuses on the stability of multifactor uncertain differential equation. The stability for the solution of multifactor uncertain differential equation is investigated, including stability in measure and stability in mean. Some stability theorems for the solution of such type of uncertain differential equation are given, in which some sufficient conditions for a multifactor uncertain differential equation being stable are provided. In addition, the relationship between stability in measure and stability in mean is discussed in this paper.
Keywords: Uncertainty theory, uncertain differential equation, stability
DOI: 10.3233/IFS-152076
Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3281-3290, 2016
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