On the validity of the Peano theorem for fuzzy differential equations
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Publication:1278833
DOI10.1016/S0165-0114(96)00126-1zbMath0920.34056MaRDI QIDQ1278833
Menahem Friedman, Abraham Kandel, Ma Ming
Publication date: 16 September 1999
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Linear differential equations in abstract spaces (34G10) Fuzzy functional analysis (46S40)
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Cites Work
- The Cauchy problem for fuzzy differential equations
- Metric spaces of fuzzy sets
- On the fuzzy initial value problem
- Characterization of compact subsets of fuzzy sets
- Embedding problem of fuzzy number space. I
- Remarks on Peano-like theorems for fuzzy differential equations
- Peano's theorem in Banach spaces
- Sample solutions of stochastic ordinary differential equations∗
- Fuzzy differential equations
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