The Cauchy problem for continuous fuzzy differential equations
โ Scribed by Juan J. Nieto
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 216 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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
The existence and uniqueness theorem is obtained ลฝ . ลฝ ลฝ .. ลฝ . for the solution of the Cauchy problem xะ t s f t, x t , x t s x , for the 0 0 fuzzy-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported fuzzy sets in R n , where the functio