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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
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