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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

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