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http://hdl.handle.net/10773/15917
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 |
URI: | http://hdl.handle.net/10773/15917 |
ISSN: | 0033-3883 |
Publisher Version: | http://www.math.klte.hu/publi/contents.php?szam=89 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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A Scale Variational Principle of Herglotz_RV.pdf | Main article | 268.59 kB | Adobe PDF | View/Open |
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