Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/4089
Título: | First integrals for problems of calculus of variations on locally convex spaces |
Autor: | Rocha, E.A.M. Torres, D.F.M. |
Palavras-chave: | Calculus of variations Locally convex spaces Noether's theorem |
Data: | 2008 |
Editora: | Balcan Society of Geometers |
Resumo: | The fundamental problem of calculus of variations is considered when solutions are differentiable curves on locally convex spaces. Such problems admit an extension of the Eulcr-Lagrange equations (Orlov. 2002) for continuously normally differentiable Lagrangians. Here, we formulate a Legcndre condition and an extension of the classical theorem of Emmy Noethcr, thus obtaining first integrals for problems of the calculus of variations on locally convex spaces. © Balkan Society of Geometers, Geometry Balkan Press 2008. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4089 |
ISSN: | 1454-5101 |
Versão do Editor: | http://www.mathem.pub.ro/apps/v10/A10-RO.pdf |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[059]LocallyConvexSpaces.pdf | 195.89 kB | Adobe PDF | Ver/Abrir |
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