首页|期刊导航|东华大学学报(英文版)|Existence and Uniqueness Theorem for the Cauchy Problem of Fuzzy Differential Equations under Non-Lipschitz Conditions
东华大学学报(英文版)2004,Vol.21Issue(4):139-142,4.
Existence and Uniqueness Theorem for the Cauchy Problem of Fuzzy Differential Equations under Non-Lipschitz Conditions
Existence and Uniqueness Theorem for the Cauchy Problem of Fuzzy Differential Equations under Non-Lipschitz Conditions
摘要
Abstract
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.关键词
Fuzzy set/fuzzy differential equation/existence and uniqueness/non-Lipschitz conditionKey words
Fuzzy set/fuzzy differential equation/existence and uniqueness/non-Lipschitz condition分类
轻工纺织引用本文复制引用
冯玉瑚,朱凡昌..Existence and Uniqueness Theorem for the Cauchy Problem of Fuzzy Differential Equations under Non-Lipschitz Conditions[J].东华大学学报(英文版),2004,21(4):139-142,4.基金项目
This paper is partially supported by the National Natural Science Foundation of China, No:60374022 ()