On the validity of the Peano theorem for fuzzy differential equations

Fuzzy Sets and Systems

Volumn 86, Issue 3, 1997, Pages 331-334

  Friedman, Menahem ^a,b   Ming, Ma ^a,c   Kandel, Abraham ^a  

^a University of South Florida   (United States)

^b NUCLEAR RESEARCH CENTER NEGEV   (Israel)

^c HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Fuzzy differential equation; Fuzzy number; Locally compact; Metric space; Peano theorem

Indexed keywords

EID: 0002903697     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(96)00126-1     Document Type: Article

References (4)

1. K. Deimling, Ordinary Differential Equations in Banach Spaces, Lecture Notes in Mathematics, Vol. 596 (Springer, Berlin, 1977).
2. P. Diamond and P.E. Kloeden, Characterization of compact sets of fuzzy sets, Fuzzy Sets and Systems 29 (1989) 341-348.
3. P. Diamond and P.E. Kloeden, Metric spaces of fuzzy sets, Fuzzy Sets and Systems 35 (1990) 241-249.
4. A.N. Godunov, Peano's theorem in Banach spaces, Funct. Anal. Appl. 9 (1975) 53-55.