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Approximate Solutions, Existence, and Uniqueness of the Cauchy Problem of Fuzzy Differential Equations

✍ Scribed by Congxin Wu; Shiji Song; E.Stanley Lee

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 170 KB
Volume: 202
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0338

No coin nor oath required. For personal study only.

✦ Synopsis

The existence and uniqueness theorem is obtained Ž . Ž Ž .. Ž . for the solution of the Cauchy problem xЈ 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 function f satisfies the generalized Lipschitz condition.

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