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http://hdl.handle.net/10773/4089
Title: | First integrals for problems of calculus of variations on locally convex spaces |
Author: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4089 |
ISSN: | 1454-5101 |
Publisher Version: | http://www.mathem.pub.ro/apps/v10/A10-RO.pdf |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[059]LocallyConvexSpaces.pdf | 195.89 kB | Adobe PDF | View/Open |
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