Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
Olga Krupková (1986)
Archivum Mathematicum
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Displaying similar documents to “Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem”
Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
On the inverse problem of the calculus of variations for ordinary differential equations
Olga Krupková (1993)
Mathematica Bohemica
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Lepagean 2-form as a globally defined, closed counterpart of higher-order variational equations on fibered manifolds over one-dimensional bases is introduced, and elementary proofs of the basic theorems concerning the inverse problem of the calculus of variations, based on the notion of Lepagean 2-form and its properties, are given.
Hamilton extremals in higher order mechanics
Demeter Krupka, Jana Musilová (1984)
Archivum Mathematicum
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Trivial constraint variational problem
Czudková, Lenka, Janová, Jitka, Musilová, Jana
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On the invariant variational sequences in mechanics
Šeděnková, Jana
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Summary: The -th order variational sequence is the quotient sequence of the De Rham sequence on the th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory...