Existence theorems to the Cauchy problem for fuzzy differential equations under compactness-type conditions
type: Item
instance of: scholarly article
title: Existence theorems to the Cauchy problem for fuzzy differential equations under compactness-type conditions
zbMATH Open document ID: 0931.34041
DOI: 10.1016/S0020-0255(97)10064-0
author: Congxin Wu
author: Shiji Song
published in: Information Sciences
publication date: 2000-02-23T00:00:00Z
review text: Fuzzy differential equations have been studied on the metric space \((E^n,D)\) of normal, convex, upper semicontinuous and compactly supported fuzzy sets in \(\mathbb{R}^n\), where \(D\) is the maximum of the Hausdorff distances between corresponding level sets in \(\mathbb{R}^n\). The Peano theorem does not hold for fuzzy differential equations on \((E^n,D)\). The authors deal with the Cauchy problem for fuzzy differential equations. Existence theorems under compactness-type conditions are obtained.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 1307019
zbMATH Keywords: fuzzy differential equations
zbMATH Keywords: existence theorem
zbMATH Keywords: Cauchy problem
reviewed by: Ion Badea
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1307019