| Title:
|
Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity (English) |
| Author:
|
Krupková, Olga |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
22 |
| Issue:
|
2 |
| Year:
|
1986 |
| Pages:
|
97-120 |
| . |
| Category:
|
math |
| . |
| MSC:
|
37J99 |
| MSC:
|
58E30 |
| MSC:
|
70H05 |
| idZBL:
|
Zbl 0637.58002 |
| idMR:
|
MR868124 |
| . |
| Date available:
|
2008-06-06T06:15:59Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107251 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/107292 |
| . |
| Reference:
|
[1] I. M. Anderson T. Duchamp: On the existence of global variational principles.Amer. J. Math. 102 (1980), 781-868. MR 0590637 |
| Reference:
|
[2] 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. Zbl 0404.49038, MR 0535646 |
| Reference:
|
[3] Th. de Donder: Théorie invariantive du calcul des variations.Gauthier-Villars, Paris, 1930. |
| Reference:
|
[4] H. Goldschmidt S. Sternberg: The Hamilton-Cartan formalism in the calculus of variations.Ann. Inst. Fourier (Grenoble), 23 (1973), 203-267. MR 0341531 |
| Reference:
|
[5] 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. MR 0793205 |
| Reference:
|
[6] D. Krupka: Some geometric aspects of variational problems in fibered manifolds.Folia Fac. Sci. Nat. UJEP Brunensis XIV (1973), 1-65. |
| Reference:
|
[7] 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. MR 0663224 |
| Reference:
|
[8] 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. MR 0773488 |
| Reference:
|
[9] 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. MR 0793207 |
| Reference:
|
[10] D. Krupka J. Musilová: Hamilton extremals in higher order mechanics.Arch. Math. (Brno) 20 (1984), 21-30. MR 0785043 |
| Reference:
|
[11] 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. MR 0760838 |
| Reference:
|
[12] A. L. Vanderbauwhede: Potential operators and the inverse problem of classical mechanics.Hadronic Journal 1 (1978), 1177-1197. Zbl 0431.47033, MR 0510098 |
| . |
