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arXiv · 1710.01428

The Multiplier Problem of the Calculus of Variations for Scalar Ordinary Differential Equations

Hardy Chan
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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 $2n, n\geq 2,$ is proposed.

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BibTeXRIS

Hardy Chan. 2017-10-04. The Multiplier Problem of the Calculus of Variations for Scalar Ordinary Differential Equations. https://arxiv.org/abs/1710.01428

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