Stability in inverse distribution for uncertain differential equations

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.