Displaying similar documents to “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

Similarity:

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.