Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471648 | Computers & Mathematics with Applications | 2006 | 10 Pages |
Abstract
The existence theorem of Peano for the fuzzy differential equation, x′(t)=f(t,x(t)),x(t0)=x0x′(t)=f(t,x(t)),x(t0)=x0 does not hold in general except in the special case where the fuzzy number space (En, 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.
Related Topics
Physical Sciences and Engineering
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Computer Science (General)
Authors
Shiji Song, Cheng Wu, Xiaoping Xue,