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Title: Calculus of variations on time scales with nabla derivatives
Author: Martins, N.
Torres, D.F.M.
Keywords: Calculus of variations
Euler-Lagrange equations
Nabla derivatives
Time scales
Issue Date: 2009
Publisher: Elsevier
Abstract: 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. © 2008 Elsevier Ltd. All rights reserved.
Peer review: yes
ISSN: 0362-546X
Appears in Collections:MAT - Artigos

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