Remarks on Peano-like theorems for fuzzy differential equations. (English) Zbl 0742.34058

From the author’s summary: “The validity of the classical Peano theorem is noted for differential equations on the metric space \(({\mathcal E}^ n,d_ p)\) of normal fuzzy convex sets in \(\mathbb{R}^ n\), where \(d_ p\) is the \(p\)-th mean of the Hausdorff distances between corresponding level sets.”.


34G99 Differential equations in abstract spaces
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
54A40 Fuzzy topology
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
Full Text: DOI


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