On connection between variationality of a six-order ordinary differential equation and Hamilton-Ostrogradskii equations

DOI10.1134/S1995080222030052zbMath1506.47085OpenAlexW4225829537WikidataQ114074835 ScholiaQ114074835MaRDI QIDQ2121943

Yanyan Li

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222030052

zbMATH Keywords

variational principlepotential operatordirect variational formulationHamilton-Ostrogradskii equations

Mathematics Subject Classification ID

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

Cites Work

• An operator equation with the second time derivative and Hamiltonian-admissible equations
• On \(B_u\)-Hamiltonian equations in mechanics of infinite-dimensional systems
• Variational formulation for every nonlinear problem
• On the existence of a variational principle for an operator equation with second derivative with respect to ``time
• On the structure of a variational equation of evolution type with the second \(t\)-derivative
• Variational principles for nonpotential operators
• Mathematical methods in the mechanics of infinite-dimensional nonpotential systems.
• Inverse problem of the calculus of variations for systems of differential-difference equations of second order
• On the variational formulation for linear initial value problems
• On a representation of an operator equation with first time derivative in the form of a \(B_u\)-Hamiltonian equation
• On the solvability of stochastic Helmholtz problem
• On the solvability of the main inverse problem for stochastic differential systems
• Integrability and non-integrability in Hamiltonian mechanics
• ON INVERSE PROBLEM OF CLOSURE OF DIFFERENTIAL SYSTEMS WITH DEGENERATE DIFFUSION
• ON THE POTENTIALITY OF A CLASS OF OPERATORS RELATIVE TO LOCAL BILINEAR FORMS
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