Peano type theorem for random fuzzy initial value problem

• Autorzy: Marek T. Malinowski
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider the random fuzzy differential equations and show their application by an example. Under suitable conditions the Peano type theorem on existence of solutions is proved. For our purposes, a notion of ε-solution is exploited.

Słowa kluczowe

EN

Random fuzzy differential equations; random fuzzy initial value problem; fuzzy stochastic process; fuzzy random variable

Kategorie tematyczne

• 34F05: Equations and systems with randomness
• 37H10: Generation, random and stochastic difference and differential equations
• 26E50: Fuzzy real analysis
• 34A07: Fuzzy differential equations
• 60H10: Stochastic ordinary differential equations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2011
• Tom: 31
• Numer: 1
• Strony: 5-22

Daty

wydano

2011

otrzymano

2009-07-02

Twórcy

autor

Marek T. Malinowski

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland

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Identyfikatory

DOI

10.7151/dmdico.1125