On Peano theorem for fuzzy differential equations

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Fuzzy sets and systems 2011-08, Vol.177 (1), p.93-94
Hauptverfasser:	Choudary, A.D.R., Donchev, T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Circuit properties Computer science control theory systems Continuous right-hand side Differential equations Digital circuits Electric, optical and optoelectronic circuits Electronic circuits Electronics Exact sciences and technology Fuzzy Fuzzy differential equations Fuzzy logic Fuzzy set theory Information, signal and communications theory Mathematical analysis Mathematical methods Mathematics Miscellaneous Ordinary differential equations Proving Sciences and techniques of general use Telecommunications and information theory Theorems Theoretical computing
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Beschreibung
Zusammenfassung:	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.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/j.fss.2011.01.005