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Stability in distribution for uncertain delay differential equation. (English) Zbl 1428.34080
Summary: As a type of differential equation, uncertain delay differential equation is driven by Liu process. Stability in measure, stability in mean and stability in moment for uncertain delay differential equation have been proposed. This paper mainly gives a concept of stability in distribution, and proves a sufficient condition for uncertain delay differential equation being stable in distribution as a supplement. Moreover, this paper further discusses their relationships among stability in distribution, stability in measure, stability in mean and stability in moment.

MSC:
34F05 Ordinary differential equations and systems with randomness
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34A07 Fuzzy ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
28E10 Fuzzy measure theory
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