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research
First integrals for problems of calculus of variations on locally convex spaces
Authors
E.A.M. Rocha
D.F.M. Torres
Publication date
1 January 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
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oai:ria.ua.pt:10773/4089
Last time updated on 03/09/2013