On the exact inverse problem of the calculus of variations

Veronika Chrastinova; Vaclav Tryhuk

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arXiv · 1408.5610

On the exact inverse problem of the calculus of variations

Veronika Chrastinova·Vaclav Tryhuk

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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.

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Veronika Chrastinova, Vaclav Tryhuk. 2014-08-24. On the exact inverse problem of the calculus of variations. https://arxiv.org/abs/1408.5610

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