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Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations

✍ Scribed by Shiji Song; Congxin Wu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
125 KB
Volume
110
Category
Article
ISSN
0165-0114

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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

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## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for

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