Summary: Here, a relation between integrals and variational multipliers of a system of second-order ordinary differential equations is studied. A simple necessary and sufficient local condition for the existence of a multiplier is given.
@article{701673,
title = {Integrals and variational multipliers of second-order ordinary differential equations},
booktitle = {Proceedings of the 20th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {2001},
pages = {129-131},
mrnumber = {MR1826685},
zbl = {0983.34004},
url = {http://dml.mathdoc.fr/item/701673}
}
Klapka, Lubomír. Integrals and variational multipliers of second-order ordinary differential equations, dans Proceedings of the 20th Winter School "Geometry and Physics", GDML_Books, (2001), pp. 129-131. http://gdmltest.u-ga.fr/item/701673/