The Multiplier Problem of the Calculus of Variations for Scalar Ordinary Differential Equations
Classical Analysis and ODEs
2017-10-05 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In the inverse problem of the calculus of variations one is asked to find a Lagrangian and a multiplier so that a given differential equation, after multiplying with the multiplier, becomes the Euler--Lagrange equation for the Lagrangian. An answer to this problem for the case of a scalar ordinary differential equation of order is proposed.
Keywords
Cite
@article{arxiv.1710.01428,
title = {The Multiplier Problem of the Calculus of Variations for Scalar Ordinary Differential Equations},
author = {Hardy Chan},
journal= {arXiv preprint arXiv:1710.01428},
year = {2017}
}