✦ LIBER ✦

Existence and uniqueness of cauchy problem for fuzzy differential equations under dissipative conditions

✍ Scribed by Shiji Song; Cheng Wu; Xiaoping Xue

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 437 KB
Volume: 51
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2005.12.001

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✦ Synopsis

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 the existence theorem for Peano are specified based on the existence theorem of approximate solutions to above Cauchy problem. @

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