On random fuzzy differential equations

Authors:
Marek T. Malinowski
Affiliations:
Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516 Zielona Góra, Poland
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 21
Cited 4

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Abstract

We consider a Cauchy problem in a random fuzzy setting. Under the condition of Lipschitzean right-hand side the existence and uniqueness of the solution is proven, also the continuous dependence on the right-hand side and initial condition is shown. Some kind of boundedness of the solution is established.