Global existence of solutions to fuzzy differential equations

Shiji Song; Lei Guo; Chunbo Feng

doi:10.1016/S0165-0114(99)00046-9

Global existence of solutions to fuzzy differential equations

Shiji Song^*
, Lei Guo
, Chunbo Feng

^*Corresponding author for this work

Harbin Institute of Technology
Southeast University, Nanjing

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

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 (Eⁿ, D). In this paper, we point out a variety of results which assure global existence of solutions to fuzzy differential equations.

Original language	English
Pages (from-to)	371-376
Number of pages	6
Journal	Fuzzy Sets and Systems
Volume	115
Issue number	3
DOIs	https://doi.org/10.1016/S0165-0114(99)00046-9
State	Published - 1 Nov 2000
Externally published	Yes

Keywords

Fuzzy differential equations
Fuzzy number space E
Global existence theorem

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10.1016/S0165-0114(99)00046-9

Cite this

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title = "Global existence of solutions to fuzzy differential equations",

abstract = "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 (En, D). In this paper, we point out a variety of results which assure global existence of solutions to fuzzy differential equations.",

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AU - Song, Shiji

AU - Guo, Lei

AU - Feng, Chunbo

PY - 2000/11/1

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N2 - 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 (En, D). In this paper, we point out a variety of results which assure global existence of solutions to fuzzy differential equations.

AB - 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 (En, D). In this paper, we point out a variety of results which assure global existence of solutions to fuzzy differential equations.

KW - Fuzzy differential equations

KW - Fuzzy number space E

KW - Global existence theorem

UR - https://www.scopus.com/pages/publications/0009755102

U2 - 10.1016/S0165-0114(99)00046-9

DO - 10.1016/S0165-0114(99)00046-9

M3 - 文章

AN - SCOPUS:0009755102

SN - 0165-0114

VL - 115

SP - 371

EP - 376

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 3

ER -

Global existence of solutions to fuzzy differential equations

Abstract

Keywords

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