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LEPAGE EQUIVALENTS OF SECOND-ORDER EULER-LAGRANGE FORMS AND THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS
of variational equations. In this paper, Lepage equivalents of second-order Euler-Lagrange solution of the inverse problem of the calculus of variations.In the calculus of variations, Lepage (n + 1)-forms...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the exact inverse problem of the calculus of variations
The article is devoted to the problem of whether or not a given system of DEs is identical with the Euler-Lagrange system of an appropriate variational integral....
Pure mathematics
- 2017 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
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Calculus of variations on time scales: weak local piecewise C1rd solutions with variable endpoints
A nonlinear calculus of variations problem on time scales with variable>). For this problem,the Euler-Lagrange equation, the transversality condition, and the accessory problem are derived as necessary con...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The symmetry reduction of variational integrals
The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized......
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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The Poincaré-Cartan forms of one-dimensional variational integrals
possible sense. Theory of the classical Lagrange variational problem eventually appearsFundamental concepts for variational integrals evaluated on the solutions of a system of ordinary differential equations are r...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Invariant variational problems on principal bundles and conservation laws
In this work, we consider variational problems defined by G-invariant group of P. These problems can be also considered as defined on the associated bundle of the r-th order connections. The correspondence between the Euler...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the Lagrange variational problem
problems. Then, by using the jet formalism, the Lagrange multiplier rule is proved for all higher-order variational integrals and arbitrary compatible systemsWe investigate the stationarity of variational integral...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Differential Equations for Variations
Explicit formulae for the variations of solutions of underdetermined systems of ordinary differential equations are derived and applied to the Lagrange variational problem....
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
The symmetry reduction of variational integrals, complement
Some open problems appearing in the primary article on the symmetry reduction are solved.
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The Sonin-Douglas Problem
The inverse problem due to Sonin and Douglas is explained by means of the elementary integrability conditions of the Frobenius type.
BA - Obecná matematika
- 2015 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
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