Helmholtz's inverse problem of the discrete calculus of variations
Dynamical Systems
2016-01-14 v2
Abstract
We derive the discrete version of the classical Helmholtz condition. Precisely, we state a theorem characterizing second order finite differences equations admitting a Lagrangian formulation. Moreover, in the affirmative case, we provide the class of all possible Lagrangian formulations.
Keywords
Cite
@article{arxiv.1203.1209,
title = {Helmholtz's inverse problem of the discrete calculus of variations},
author = {Loïc Bourdin and Jacky Cresson},
journal= {arXiv preprint arXiv:1203.1209},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form is published in Journal of Difference Equations and Applications