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 First integrals for problems of calculus of variations on locally convex spaces
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4089

title: First integrals for problems of calculus of variations on locally convex spaces
authors: Rocha, E.A.M.
Torres, D.F.M.
keywords: Calculus of variations
Locally convex spaces
Noether's theorem
issue date: 2008
publisher: Balcan Society of Geometers
abstract: 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.
URI: http://hdl.handle.net/10773/4089
ISSN: 1454-5101
publisher version/DOI: http://www.mathem.pub.ro/apps/v10/A10-RO.pdf
source: Applied Sciences
appears in collectionsMAT - Artigos

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