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arXiv:0807.2596 [math.OC]AbstractReferencesReviewsResources

Calculus of Variations on Time Scales with Nabla Derivatives

Natalia Martins, Delfim F. M. Torres

Published 2008-07-16Version 1

We prove a necessary optimality condition of 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.

Comments: Partially presented at the Fifth World Congress of Nonlinear Analysts (WCNA-2008), Orlando, Florida, July 2-9, 2008
Journal: Nonlinear Anal. 71 (2009), no. 12, e763--e773
Categories: math.OC, math.CA
Subjects: 39A12, 49K05
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