scientific article

zbMath0637.58002MaRDI QIDQ3777094

Olga Krupková

Publication date: 1986

Full work available at URL: https://eudml.org/doc/18184

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hamiltonian mechanicsLegendre transformationLepagean formEuler-Lagrange formlocally variational form

Mathematics Subject Classification ID

Hamilton's equations (70H05) Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Variational first-order partial differential equations ⋮ Equivalence and the Cartan form ⋮ Variational sequences, representation sequences and applications in physics ⋮ The constraint algorithm in the jet formalism ⋮ Lepage Manifolds ⋮ Lepage forms, closed 2-forms and second-order ordinary differential equations ⋮ The structure of the Euler-Lagrange mapping ⋮ Contact symmetries and variational PDE's ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Contact symmetries of the Helmholtz form ⋮ Variational principles for nonpotential operators ⋮ Hamiltonian field theory ⋮ On Lagrangians with reduced-order Euler-Lagrange equations ⋮ On a global Lagrangian construction for ordinary variational equations on 2-manifolds ⋮ On the inverse problem for even-order ordinary differential equations in the higher-order calculus of variations.

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