东华大学学报（英文版）
東華大學學報（英文版）
동화대학학보（영문판）
JOURNAL OF DONG HUA UNIVERSITY(ENGLISH EDITION)
2004年
4期
139-142
,共4页
Fuzzy set%fuzzy differential equation%existence and uniqueness%non-Lipschitz condition
Solutions of fuzzy differential equations provide a noteworthy example of time-dependent fuzzy sets. The purpose of this paper is to introduce functions of a suitable Lyapunov-like type and to show the existence and uniqueness theorem for the Cauchy problem of fuzzy differential equations under non-Lipschitz conditions. The comparison principles and the existence and uniqueness theorems of this paper generalize many well-known results up to now.
