The Peano theorem for fuzzy differential equations revisited

DOI10.1016/S0165-0114(97)00415-6zbMath0930.34003MaRDI QIDQ1296825

Osmo Kaleva

Publication date: 9 February 2000

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations and systems with randomness (34F05)

Related Items (9)

Averaging in fuzzy controlled systems ⋮ Averaging of fuzzy differential equations on a finite interval ⋮ Towards the theory of fuzzy differential equations ⋮ A Peano theorem for fuzzy differential equations with evolving membership grade ⋮ Regularization scheme for uncertain fuzzy differential equations: analysis of solutions ⋮ On the regularization and matrix Lyapunov functions for fuzzy differential systems with uncertain parameters ⋮ Random fuzzy differential equations under generalized Lipschitz condition ⋮ Linear control systems with fuzzy parameter ⋮ Initial value problem for second-order random fuzzy differential equations

Cites Work

• The Cauchy problem for fuzzy differential equations
• Metric spaces of fuzzy sets
• Metric spaces of fuzzy sets: Corrigendum
• On the validity of the Peano theorem for fuzzy differential equations

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