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Existence and Uniqueness Theorem for the Cauchy Problem of Fuzzy Differential Equations under Non-Lipschitz Conditions

冯玉瑚 朱凡昌

东华大学学报(英文版)2004,Vol.21Issue(4):139-142,4.
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

冯玉瑚 1朱凡昌1

作者信息

  • 1. Department of Applied Mathematics,Donghua University,Shanghai,200051
  • 折叠

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 condition

Key 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 ()

东华大学学报(英文版)

1672-5220

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