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Title: A general backwards calculus of variations via duality
Author: Malinowska, A.B.
Torres, D.F.M.
Keywords: Calculus of variations
Composition of functionals
Euler-Lagrange equations
Natural boundary conditions
Time scales
Issue Date: 2011
Publisher: Springer Verlag
Abstract: We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an arbitrary time scale. As an application, we get optimality conditions for the product and the quotient of nabla variational functionals. © 2010 Springer-Verlag.
Peer review: yes
ISSN: 1862-4472
Appears in Collections:DMat - Artigos

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