Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
Krupková, Olga
Archivum Mathematicum, Tome 022 (1986), p. 97-120 / Harvested from Czech Digital Mathematics Library
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Publié le : 1986-01-01
Classification:  37J99,  58E30,  70H05 
@article{107251,
     author = {Olga Krupkov\'a},
     title = {Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity},
     journal = {Archivum Mathematicum},
     volume = {022},
     year = {1986},
     pages = {97-120},
     zbl = {0637.58002},
     mrnumber = {868124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107251}
}

Krupková, Olga. Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity. Archivum Mathematicum, Tome 022 (1986) pp. 97-120. http://gdmltest.u-ga.fr/item/107251/

I. M. Anderson T. Duchamp On the existence of global variational principles, Amer. J. Math. 102 (1980), 781-868. (1980) | MR 0590637

P. Dedecker Le théorème de Helmholtz-Cartan pour une intégrale simple d'ordre superieur, C. R. Acad. Sci. Paris, Sér. A, 288 (1979), 827-830. (1979) | MR 0535646 | Zbl 0404.49038

Th. De Donder Théorie invariantive du calcul des variations, Gauthier-Villars, Paris, 1930. (1930)

H. Goldschmidt S. Sternberg The Hamilton-Cartan formalism in the calculus of variations, Ann. Inst. Fourier (Grenoble), 23 (1973), 203-267. (1973) | MR 0341531

L. Klapka Euler-Lagrange expressions and closed two-forms in higher order mechanics, Geometrical Methods in Physics, Proc. Conf. Diff. Geom. Appl., Sept. 1983; J. E. Purkyně University, Brno, 1984, 149-153. (1983) | MR 0793205

D. Krupka Some geometric aspects of variational problems in fibered manifolds, Folia Fac. Sci. Nat. UJEP Brunensis XIV (1973), 1-65. (1973)

D. Krupka On the local structure of the Euler-Lagrange mapping of the calculus of variations, Proc. Conf. Diff. Geom. Appl., Sept. 1980; Charles University, Prague, 1981, 181-187. (1980) | MR 0663224

D. Krupka Lepagean forms in higher order variational theory, Proc. IUTAM-ISIMM Symposium on Modern Developments in Analytical Mechanics, June 1982; Acad. Sci. Turin 117 (1983), 197-238. (1982) | MR 0773488

D. Krupka On the higher order Hamilton theory in fibered spaces, Geometrical Methods in Physics, Proc. Conf. Diff. Geom. Appl., Sept. 1983; J. E. Purkyně University, Brno, 1984, 167-183. (1983) | MR 0793207

D. Krupka J. Musilová Hamilton extremals in higher order mechanics, Arch. Math. (Brno) 20 (1984), 21-30. (1984) | MR 0785043

D. Krupka O. Štěpánková On the Hamilton form in second order calculus of variations, Proc. Internat. Meeting "Geometry and Physics", Florence, Oct. 1982; Pitagora Editrice Bologna (1983), 85-101. (1982) | MR 0760838

A. L. Vanderbauwhede Potential operators and the inverse problem of classical mechanics, Hadronic Journal 1 (1978), 1177-1197. (1978) | MR 0510098 | Zbl 0431.47033