Geodesic
Inverse problem of the classical calculus of variations
Archivum mathematicum, Tome 18 (1982) no. 1, pp. 9-14

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MR Zbl
Classification : 37J99, 49J20, 58A10, 58E30, 70H03, 70H05 
Chrastina, Jan. Inverse problem of the classical calculus of variations. Archivum mathematicum, Tome 18 (1982) no. 1, pp. 9-14. http://geodesic.mathdoc.fr/item/ARM_1982_18_1_a1/
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[1] Krupka D.: On the local structure of the Euler-Lagrange mapping. Pгoc. of the ČSSR-GDR-Polish Confeгence on Diffeгential Geometry and its Applications, Septembeг 1980, Nové Město na Moravě, edited by O. Kowalski, to appear. | MR

[2] Tonti E.: Variational formulation of non-linear differential equations. I, II, Bull. Classe Sciences Acad. R. de Belgique 55 (1969), 137-165, 262-268. | MR