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The Cauchy problem of fuzzy differential equations under generalized differentiability

✍ Scribed by Jinxian Li; Aimin Zhao; Jurang Yan

Book ID
113632754
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
359 KB
Volume
200
Category
Article
ISSN
0165-0114

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πŸ“œ SIMILAR VOLUMES

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We prove a version of the classical Peano's theorem for the initial value problem for a fuzzy differential equation in the metric space of normal fuzzy convex sets with distance given by the maximum of the Hausdorff distances between level sets.

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✍ Shiji Song; Cheng Wu; Xiaoping Xue πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 437 KB

The existence theorem of Peano for the fuzzy differential equation, does not hold in general except in the special case where the fuzzy number space (E '~, D) is finite dimensional [1] or f is assumed to be continuous and bounded [2]. In this paper, the dissipative-type conditions which guarantee t