On Connection between Variationality of a Six-Order Ordinary Differential Equation and Hamilton–Ostrogradskii Equations

Abstract: In the paper, we investigate the representability of a six-orderordinary differential equation in the form ofHamilton–Ostrogradskii equations. For this purpose, potentialityconditions are obtained and the correspondingHamilton–Ostrogradskii action is constructed. © 2021, Pleiades Publishing, Ltd.

Authors
Publisher
Pleiades Publishing
Number of issue
15
Language
English
Pages
3594-3605
Status
Published
Volume
42
Year
2021
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Keywords
direct variational formulation; Hamilton–Ostrogradskii equations; potential operator; variational principle
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