Affiliations: [a] School of Information Technology and Management, University of International Business and Economics, Beijing, China
| [b] Department of Mathematical Sciences, Tsinghua University, Beijing, China
Correspondence:
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Corresponding author. Yaodong Ni, School of Information Technology and Management, University of International Business and Economics, Beijing 100029, China. Tel./Fax: +86 10 64495031; E-mail: [email protected].
Abstract: Uncertain differential equation is a kind of differential equations driven by Liu processes, many concepts of stability for uncertain differential equations have been researched. This paper first presents a concept of convergence in inverse distribution for an uncertain sequence, and then proposes a concept of stability in inverse distribution for an uncertain differential equation. A sufficient condition is proved for an uncertain differential equation being stable in inverse distribution. Moreover, some examples are given to illustrate the reasonability of stability in inverse distribution.
Keywords: Uncertainty theory, uncertain differential equation, stability, inverse distribution
