# Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem

Archivum Mathematicum (1987)

- Volume: 023, Issue: 3, page 155-170
- ISSN: 0044-8753

## Access Full Article

top## How to cite

topKrupková, Olga. "Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem." Archivum Mathematicum 023.3 (1987): 155-170. <http://eudml.org/doc/18219>.

@article{Krupková1987,

author = {Krupková, Olga},

journal = {Archivum Mathematicum},

keywords = {Hamilton equations; regularity; variationality conditions; Lepagean 2- forms; Hamiltonian mechanics; inverse problem; variational integrating factors},

language = {eng},

number = {3},

pages = {155-170},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem},

url = {http://eudml.org/doc/18219},

volume = {023},

year = {1987},

}

TY - JOUR

AU - Krupková, Olga

TI - Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem

JO - Archivum Mathematicum

PY - 1987

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 023

IS - 3

SP - 155

EP - 170

LA - eng

KW - Hamilton equations; regularity; variationality conditions; Lepagean 2- forms; Hamiltonian mechanics; inverse problem; variational integrating factors

UR - http://eudml.org/doc/18219

ER -

## References

top- E. Engels W. Sarlet, General solution and invariants for a class of lagrangian equations governed by a velocity-dependent potential energy, J. Phys. A: Math., Nucl. Gen. 6 (1973), 818-825. (1973) MR0418700
- P. Havas, The range of application of the Lagrange formalism I, Nuovo Cimento (Suppl.) 3 (1957), 363-388. (1957) Zbl0077.37202MR0090972
- D. Kгupka A. E. Sattaгov, The inverse problem of the calculus of variations for Finsler structures, Math. Slovaca (35) 3 (1985), 217-222. (1985) MR0808354
- O. Kгupková, Lepagean 2-forms in higher order Hamiltonian mechanics, I. Regularity, Arch. Math. (Bгno) 2 (1986), 97-120. (1986) MR0868124
- J. Novotný, On the inverse variational problem in the classical mechanics, Pгoc. Conf. Diff. Geom. Appl. 1980, Charles University of Prague (1981), 189-195. (1980) MR0663225
- R. M. Santilli, Foundations of Theoretical Physics I., The Inverse Problem in Newtonian Mechanics, Springeг Verlag, New Yoгk 1978. (1978) Zbl0401.70015MR0514210
- W. Saгlet, On the transition between second-order and first-order systems within the context of the inverse problem of Newtonian mechanics, Hadronic J. 2 (1979), 407-432. (1979) MR0529840
- W. Sarlet, The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics, J. Phys. A: Math. Gen. 15 (1982), 1503-1517. (1982) Zbl0537.70018MR0656831
- O. Štěpánková, The local inverse problem of the calculus of variations in higher order Hamiltonian mechanics, Geometгical Methods in Physics, Pгoc. Conf. Diff. Geom. Appl., Sept. 1983, J. E. Puгkyně University, Bгno (1984), 275-287. (1983) Zbl0557.58010MR0793216
- E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies with an Introduction to the problem of Three Bodies, 2-nd Ed. Cambгidge, the Univeгsity Pгess, 1917. (1917) MR0992404

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.