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Budochkina, S. A.; Luu, T. H.

On connection between variationality of a six-order ordinary differential equation and Hamilton-Ostrogradskii equations. (English) Zbl 1506.47085

Lobachevskii J. Math. 42, No. 15, 3594-3605 (2021).
Summary: In the paper, we investigate the representability of a six-order ordinary differential equation in the form of Hamilton-Ostrogradskii equations. For this purpose, potentiality conditions are obtained and the corresponding Hamilton-Ostrogradskii action is constructed.

MSC:

47G40 Potential operators
70H05 Hamilton’s equations
34A55 Inverse problems involving ordinary differential equations

Keywords:

potential operator; direct variational formulation; variational principle; Hamilton-Ostrogradskii equations
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\textit{S. A. Budochkina} and \textit{T. H. Luu}, Lobachevskii J. Math. 42, No. 15, 3594--3605 (2021; Zbl 1506.47085)
Full Text: DOI

References:

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