Global existence of solutions to fuzzy differential equations

被引:36
作者
Song, SJ [1 ]
Guo, L
Feng, CB
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] SE Univ, Res Inst Automat, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
fuzzy number space E-n; fuzzy differential equations; global existence theorem;
D O I
10.1016/S0165-0114(99)00046-9
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The local existence and uniqueness theorems are investigated by Wu et al. (J. Math. Anal. Appl. 202 (1996) 629-644), for the Cauchy problem of the fuzzy-valued mappings of a real variable whose values are in the fuzzy number space (E-n,D). In this paper, we point out a variety of results which assure global existence of solutions to fuzzy differential equations. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:371 / 376
页数:6
相关论文
共 11 条
[1]  
[Anonymous], DIFFERENTIAL INTEGRA
[2]   INTEGRALS OF SET-VALUED FUNCTIONS [J].
AUMANN, RJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1965, 12 (01) :1-&
[3]   SOME ANALYTIC AND MEASURE THEORETIC PROPERTIES OF SET-VALUED MAPPINGS [J].
BRADLEY, M ;
DATKO, R .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1977, 15 (04) :625-635
[4]  
DEBREU G, 1966, P 5 BERK S MATH STAT, P351
[5]   THE CAUCHY-PROBLEM FOR FUZZY DIFFERENTIAL-EQUATIONS [J].
KALEVA, O .
FUZZY SETS AND SYSTEMS, 1990, 35 (03) :389-396
[6]   FUZZY DIFFERENTIAL-EQUATIONS [J].
KALEVA, O .
FUZZY SETS AND SYSTEMS, 1987, 24 (03) :301-317
[7]  
LAKSHMIKANTHAM V, 1969, DIFFERENTIAL INTEGRA, V2
[8]   FUZZY RANDOM-VARIABLES [J].
PURI, ML ;
RALESCU, DA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) :409-422
[9]   DIFFERENTIALS OF FUZZY FUNCTIONS [J].
PURI, ML ;
RALESCU, DA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 91 (02) :552-558
[10]  
Wu CX, 1998, INFORM SCIENCES, V108, P123, DOI 10.1016/S0020-0255(97)10064-0