The aim of the paper is to announce some recent results concerning Hamiltonian theory. The case of second order Euler–Lagrange form non-affine in the second derivatives is studied. Its related second order Hamiltonian systems and geometrical correspondence between solutions of Hamilton and Euler–Lagrange equations are found.
@article{108040, author = {Dana Smetanov\'a}, title = {On second order Hamiltonian systems}, journal = {Archivum Mathematicum}, volume = {042}, year = {2006}, pages = {341-347}, zbl = {1164.35304}, mrnumber = {2322420}, language = {en}, url = {http://dml.mathdoc.fr/item/108040} }
Smetanová, Dana. On second order Hamiltonian systems. Archivum Mathematicum, Tome 042 (2006) pp. 341-347. http://gdmltest.u-ga.fr/item/108040/
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