First Integrals for Problems of Calculus of Variations on Locally Convex Spaces

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dc.creatorRocha, Eugenio A. M.
dc.creatorTorres, Delfim F. M.
dc.date2005-11-14
dc.date.accessioned2026-07-07T09:26:27Z
dc.date.available2026-07-07T09:26:27Z
dc.descriptionThe fundamental problem of calculus of variations is considered when solutions are differentiable curves on locally convex spaces. Such problems admit an extension of the Euler-Lagrange equations [Orlov 2002] for continuously normally differentiable Lagrangians. Here, we formulate a Legendre condition and an extension of the classical theorem of Emmy Noether, thus obtaining first integrals for problems of the calculus of variations on locally convex spaces.
dc.descriptionPresented at OTFUSA'2005, International Conference on "Operator Theory, Function Spaces and Applications", dedicated to the 60th birthday of Professor F.-O. Speck, 7-9 July 2005, Aveiro, Portugal
dc.identifierhttps://arxiv.org/abs/math/0511347
dc.identifierhttp://arxiv.org/abs/math/0511347
dc.identifierAppl. Sci. 10 (2008), 207--218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156757
dc.subjectOptimization and Control
dc.subjectFunctional Analysis
dc.subject49K27; 47J30; 46T20
dc.titleFirst Integrals for Problems of Calculus of Variations on Locally Convex Spaces
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