Journal article
Remarks on Peano-like theorems for fuzzy differential equations
Fuzzy Sets and Systems, Vol.44(1), pp.161-163
1991
Abstract
The validity of the classical Peano theorem is noted for differential equations on the metric space (En, dp) of normal fuzzy convex sets in Rn, where dp is the p-th mean of the Hausdorff distances between corresponding level sets. This contrasts with differential equations on the space (En, D) where D is the max metric, which is not locally compact so more than just continuity is required to ensure the existence of solutions. Some additional properties, differing from that given by Kaleva, are mentioned.
Details
- Title
- Remarks on Peano-like theorems for fuzzy differential equations
- Authors/Creators
- P.E. Kloeden (Author/Creator)
- Publication Details
- Fuzzy Sets and Systems, Vol.44(1), pp.161-163
- Publisher
- Elsevier B.V.
- Identifiers
- 991005540403007891
- Copyright
- © 1991 Published by Elsevier B.V.
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.162 Numerical Methods
- 9.162.448 Fractional Calculus
- Web Of Science research areas
- Computer Science, Theory & Methods
- Mathematics, Applied
- Statistics & Probability
- ESI research areas
- Engineering