Hojman, Sergio; Urrutia, Luis F. On the inverse problem of the calculus of variations. (English) Zbl 0475.70023 J. Math. Phys. 22, 1896-1903 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 29 Documents MSC: 70H03 Lagrange’s equations 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 49S05 Variational principles of physics 70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics Keywords:inverse problem; construction of Lagrangian; first order differential equations; time-dependent; functions of constants of motion PDFBibTeX XMLCite \textit{S. Hojman} and \textit{L. F. Urrutia}, J. Math. Phys. 22, 1896--1903 (1981; Zbl 0475.70023) Full Text: DOI References: [1] DOI: 10.1090/S0002-9947-1941-0004740-5 · JFM 67.1038.01 [2] DOI: 10.1063/1.1705010 [3] DOI: 10.1063/1.525062 · Zbl 0522.70024 [4] Sarlet W., Hadronic J. 2 pp 407– (1979) [5] DOI: 10.1016/S0003-4916(97)90004-X · Zbl 0354.49023 [6] DOI: 10.1016/S0003-4916(97)90004-X · Zbl 0354.49023 [7] DOI: 10.1016/S0003-4916(97)90004-X · Zbl 0354.49023 [8] Santilli R. M., Hadronic J. 1 pp 223– (1978) [9] Santilli R. M., Hadronic J. 1 pp 574– (1978) [10] Gelman Y., Nuovo Cimento B 18 pp 62– (1973) [11] Marmo G., Hadronic J. 1 pp 955– (1978) [12] Sarlet W., Hadronic J. 1 pp 101– (1978) [13] Havas P., Acta. Phys. Aust. 38 pp 145– (1973) [14] DOI: 10.1016/0370-2693(76)90089-7 [15] Hojman S., Hadronic J. 3 pp 1644– (1980) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.