Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15635
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Abrunheiro, Lígia | pt |
dc.contributor.author | Machado, Luís | pt |
dc.contributor.author | Martins, Natália | pt |
dc.date.accessioned | 2016-06-02T13:43:06Z | - |
dc.date.available | 2016-06-02T13:43:06Z | - |
dc.date.issued | 2016-01-04 | - |
dc.identifier.issn | 2217-3412 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15635 | - |
dc.description.abstract | 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 defined on the Riemannian manifold S^n. Moreover, the problem is formulated from an optimal control point of view and it is proved that the Euler-Lagrange equation can be obtained from the Hamiltonian equations. It is also highlighted the geodesic problem on spheres as a particular case of the generalized Herglotz problem. | pt |
dc.language.iso | eng | pt |
dc.publisher | Ilirias Publications | pt |
dc.relation | FCT - UID/MAT/04106/2013 | pt |
dc.rights | openAccess | por |
dc.subject | Variational problems of Herglotz type | pt |
dc.subject | Calculus of variations | pt |
dc.subject | Optimal control problems | pt |
dc.subject | Geodesics on Riemannian manifolds | pt |
dc.subject | Euclidean sphere | pt |
dc.title | The Herglotz variational problem on spheres and its optimal control approach | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 12 | pt |
degois.publication.issue | 1 | pt |
degois.publication.lastPage | 22 | pt |
degois.publication.title | Journal of Mathematical Analysis | pt |
degois.publication.volume | 7 | pt |
dc.relation.publisherversion | http://91.187.98.171/ilirias/jma/vol_7_issue_1.html | pt |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2016AbruMachMart_Revista_JMA.pdf | paper | 338.92 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.