The Herglotz variational problem on spheres and its optimal control approach

The main goal of this paper is to extend the generalized variational problem of Herglotz type to the more general context of the Euclidean sphere S^n. Motivated by classical results on Euclidean spaces, we derive the generalized Euler-Lagrange equation for the corresponding variational problem defin...

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Bibliographic Details
Main Author: Abrunheiro, Lígia (author)
Other Authors: Machado, Luís (author), Martins, Natália (author)
Format: article
Language:eng
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10773/15635
Country:Portugal
Oai:oai:ria.ua.pt:10773/15635