On Peano theorem for fuzzy differential equations

被引：17
作者：
Choudary, A. D. R. [1 ]
Donchev, T. [1 ]
机构：
[1] Abdus Salam Sch Math Sci ASSMS, Lahore, Pakistan
来源：
FUZZY SETS AND SYSTEMS | 2011年 / 177卷 / 01期
关键词：
Fuzzy differential equations; Continuous right-hand side; CAUCHY-PROBLEM;
D O I：
10.1016/j.fss.2011.01.005
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Nieto's theorem states that every fuzzy differential equation with bounded and continuous right-hand side admits a solution. In this paper we show that the provided proof of this result is not correct. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：93 / 94
页数：2
相关论文
共 50 条
  • [31] Stability theory of fuzzy differential equations via differential inequalities
    Lakshmikantham, V
    Leela, SG
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 1999, 2 (04): : 551 - 559
  • [32] Some remarks on fuzzy differential equations via differential inclusions
    Chalco-Cano, Y.
    Roman-Flores, H.
    [J]. FUZZY SETS AND SYSTEMS, 2013, 230 : 3 - 20
  • [33] Approximate Solution for Systems of Fuzzy Differential Equations by Variational Iteration Method
    Barazandeh, Yousef
    Ghazanfari, Bahman
    [J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (08): : 13 - 33
  • [34] Asymptotic equilibrium and stability of fuzzy differential equations
    Song, SJ
    Wu, C
    Lee, ES
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (7-8) : 1267 - 1277
  • [35] On Boundary Value Problems for Fuzzy Differential Equations
    Rodriguez-Lopez, Rosana
    [J]. SOFT METHODS FOR HANDLING VARIABILITY AND IMPRECISION, 2008, 48 : 218 - 225
  • [36] Quasi type 2 fuzzy differential equations
    Kardan, Iman
    Akbarzadeh-T, Mohammad-R
    Akbarzadeh, Alireza
    Kalani, Hadi
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (01) : 551 - 563
  • [37] Numerical solutions of fuzzy differential and integral equations
    Friedman, M
    Ma, M
    Kandel, A
    [J]. FUZZY SETS AND SYSTEMS, 1999, 106 (01) : 35 - 48
  • [38] A new technique to solve fuzzy differential equations
    Ashraf, Samina
    Ahmed, Imran
    Rashmanlou, Hossein
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (04) : 2171 - 2176
  • [39] Interconnection between set and fuzzy differential equations
    Laksmikantham, V
    Leela, S
    Vatsala, AS
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (02) : 351 - 360
  • [40] Analytical and numerical solutions of fuzzy differential equations
    Ahmad, M. Z.
    Hasan, M. K.
    De Baets, B.
    [J]. INFORMATION SCIENCES, 2013, 236 : 156 - 167
12345