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Title: Euler-Lagrange equations for composition functionals in calculus of variations on time scales
Author: Malinowska, A.B.
Torres, D.F.M.
Keywords: Calculus of variations
Composition functionals
Euler-Lagrange equations
Isoperimetric problems
Natural boundary conditions
Time scales
Issue Date: 2011
Publisher: American Institute of Mathematical Sciences (AIMS)
Abstract: In this paper we consider the problem of the calculus of variations for a functional which is the composition of a certain scalar function H with the delta integral of a vector valued field f, i.e., of the form H (int;ba f(t,xσ(t); δ(t))δt). Euler-Lagrange equations, natural boundary conditions for such problems as well as a necessary optimality condition for isoperimetric problems, on a general time scale, are given. A number of corollaries are obtained, and several examples illustrating the new results are discussed in detail.
Peer review: yes
ISSN: 1078-0947
Appears in Collections:DMat - Artigos

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