Abstract
The existence theorem of Peano for the fuzzy differential equation, x ′ ( t ) = f ( t , x ( t ) ) , x ( t 0 ) = x 0 does not hold in general except in the special case where the fuzzy number space ( E n, 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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