On the exact inverse problem of the calculus of variations
Differential Geometry
2014-08-26 v1
Abstract
The article concerns the problem if a~given system of differential equations is identical with the Euler--Lagrange system of an~appropriate variational integral. Elementary approach is applied. The main results involve the determination of the first--order variational integrals related to the second--order Euler--Lagrange systems.
Keywords
Cite
@article{arxiv.1408.5610,
title = {On the exact inverse problem of the calculus of variations},
author = {Veronika Chrastinova and Vaclav Tryhuk},
journal= {arXiv preprint arXiv:1408.5610},
year = {2014}
}