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Title: The inverse problem of the calculus of variations for Finsler structures (English)
Author: Krupka, Demeter
Author: Sattarov, Abdurasoul Ezbekhovich
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 35
Issue: 3
Year: 1985
Pages: 217-222
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Category: math
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MSC: 53B40
idZBL: Zbl 0585.53019
idMR: MR808354
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Date available: 2009-09-25T09:46:24Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136393
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Reference: [1] KRUPKA D.: Local invariants of a linear connection.Colloquia Math. Soc. J. Bolyai, 31. Diffeгential Geometгy, Budapest 1979, Noгth Holland, 1982, 349-369. MR 0706930
Reference: [2] KRUPKA D.: On the local stгucture of the Euleг-Lagrange mapping of the calculus of variations.Proc. Conf. on Diff. Geom. and Appl., Nové Město na Moгavě, September 1980; Charlеs Univ. of Pгague, 1982, 181-188. MR 0663224
Reference: [3] ЛAПTEB Б. Л.: Пpoизвoднaя Ли для oбьeктoв, являющиxcя фyнкциeй нaпpaвлeния, Изв.физ.-мaт. oб-вa пpи Kaзaнcк. yнив. 3, 10, 1938, 3-38.
Reference: [4] RUND H.: The Diffeгential Geometгy of Finsler Spaces.Springeг, Berlin 1959. MR 0105726
Reference: [5] CATTAPOB A. Э.: Экcтpeмaли мeтpичecкoгo пpocгpaнcтвa oпopныx вeктopныx плoтнocтeй.Изв. вyзoв Maтeмaтикa 9, 1977, 119-121.
Reference: [6] TONTT E.: Variational formulation of nonlinear diffeгential equations, I., II..Bull. Classe Sciences Acad. R. de Belgique 55, 1969, 137-165; 262-278.
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