Hamilton extremals in higher order mechanics
Demeter Krupka, Jana Musilová (1984)
Archivum Mathematicum
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Displaying similar documents to “On regularization of variational problems in first-order field theory”
Hamilton extremals in higher order mechanics
On a class of polynomial Lagrangians
Palese, Marcella, Vitolo, Raffaele
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Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
Olga Krupková (1986)
Archivum Mathematicum
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Lagrangian formalism in the classical field theory
Wiktor Szczyrba (1976)
Annales Polonici Mathematici
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Some concepts of regularity for parametric multiple-integral problems in the calculus of variations
M. Crampin, D. J. Saunders (2009)
Czechoslovak Mathematical Journal
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We show that asserting the regularity (in the sense of Rund) of a first-order parametric multiple-integral variational problem is equivalent to asserting that the differential of the projection of its Hilbert-Carathéodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter -form are holonomic.