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Calculus of fuzzy functions on time scales (I)

✍ Scribed by Fard, Omid Solaymani; Bidgoli, Tayebeh A.


Book ID
121697278
Publisher
Springer
Year
2014
Tongue
English
Weight
253 KB
Volume
19
Category
Article
ISSN
1432-7643

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We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among

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We prove a necessary optimality condition of the Euler-Lagrange type for variational problems on time scales involving nabla derivatives of higher order. The proof is done using a new and more general fundamental lemma of the calculus of variations on time scales.