Some results about uncertain differential equations with time-dependent delay. (English) Zbl 1433.34108
Summary: Uncertain differential equations with time-dependent delay are a type of differential equations driven by Liu process. This paper mainly proves that this type of uncertain differential equations have unique solutions in the infinite domain under some conditions. In addition, we also focus on the stability of uncertain differential equations with time-dependent delay, and some correspondence results are shown in the form of theorems.
MSC:
| 34K50 | Stochastic functional-differential equations |
| 34D20 | Stability of solutions to ordinary differential equations |
| 60A86 | Fuzzy probability |
| 93E15 | Stochastic stability in control theory |
| 34A07 | Fuzzy ordinary differential equations |
| 34F05 | Ordinary differential equations and systems with randomness |
Keywords:
uncertain differential equation with time-dependent delay; existence and uniqueness; stability in measure; stability in meanReferences:
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