On the inverse problem of the calculus of variations for ordinary differential equations

Olga Krupková

Displaying similar documents to “On the inverse problem of the calculus of variations for ordinary differential equations”

Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity

Olga Krupková (1986)

Archivum Mathematicum

Similarity:

On a class of polynomial Lagrangians

Palese, Marcella, Vitolo, Raffaele

Similarity:

Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem

Olga Krupková (1987)

Archivum Mathematicum

Similarity:

Symmetries in finite order variational sequences

Mauro Francaviglia, Marcella Palese, Raffaele Vitolo (2002)

Czechoslovak Mathematical Journal

Similarity:

We refer to Krupka’s variational sequence, i.e. the quotient of the de Rham sequence on a finite order jet space with respect to a ‘variationally trivial’ subsequence. Among the morphisms of the variational sequence there are the Euler-Lagrange operator and the Helmholtz operator. In this note we show that the Lie derivative operator passes to the quotient in the variational sequence. Then we define the variational Lie derivative as an operator on the sheaves of the variational sequence....