Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients

被引：70
作者：
Fei, Welyin [1 ]
机构：
[1] Anhui Univ Technol & Sci, Dept Appl Math, Wuhu 241000, Anhui, Peoples R China
[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai 200051, Peoples R China
来源：
INFORMATION SCIENCES | 2007年 / 177卷 / 20期
基金：
安徽省自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
fuzzy random variables; fuzzy random differential equation; Existence and uniqueness; non-Lipschitz coefficients; Gronwall lemma;
D O I：
10.1016/j.ins.2007.03.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a class of fuzzy random differential equations with non-Lipschitz coefficients is studied. The existence and uniqueness of solutions for fuzzy random differential equations with non-Lipschitz coefficients is first proved. Then the dependence of fuzzy random differential equations on initial values is discussed. Finally the non-confluence property of the solution for fuzzy random differential equation is investigated. Our main tool is the Gronwall lemma. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：4329 / 4337
页数：9
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