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Title: A scale variational principle of Herglotz
Author: Almeida, Ricardo
Keywords: Calculus of variations
Scale derivative
Issue Date: 2016
Publisher: University of Debrecen, Hungary
Abstract: The Herglotz problem is a generalization of the fundamental problem of the calculus of variations. In this paper, we consider a class of non-differentiable functions, where the dynamics is described by a scale derivative. Necessary conditions are derived to determine the optimal solution for the problem. Some other problems are considered, like transversality conditions, the multi-dimensional case, higher-order derivatives and for several independent variables.
Peer review: yes
ISSN: 0033-3883
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Appears in Collections:CIDMA - Artigos
SCG - Artigos

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