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 A scale variational principle of Herglotz
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/15917

title: A scale variational principle of Herglotz
authors: 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.
URI: http://hdl.handle.net/10773/15917
ISSN: 0033-3883
publisher version/DOI: http://www.math.klte.hu/publi/contents.php?szam=89
source: Publicationes Mathematicae Debrecen
appears in collectionsCIDMA - Artigos

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