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Description
| - In the calculus of variations, Lepage (n+1)-forms are closed differential forms, representing Euler-Lagrange equations. They are fundamental for investigation of variational equations by means of exterior differential systems methods, with important applications in Hamilton and Hamilton-Jacobi theory and theory of integration of variational equations. In this paper, Lepage equivalents of second-order Euler-Lagrange quasi-linear PDE's are characterised explicitly. A closed (n+1)-form uniquely determined by the Euler-Lagrange form is constructed, and used to find a geometric solution of the inverse problem of the calculus of variations.
- In the calculus of variations, Lepage (n+1)-forms are closed differential forms, representing Euler-Lagrange equations. They are fundamental for investigation of variational equations by means of exterior differential systems methods, with important applications in Hamilton and Hamilton-Jacobi theory and theory of integration of variational equations. In this paper, Lepage equivalents of second-order Euler-Lagrange quasi-linear PDE's are characterised explicitly. A closed (n+1)-form uniquely determined by the Euler-Lagrange form is constructed, and used to find a geometric solution of the inverse problem of the calculus of variations. (en)
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Title
| - Lepage equivalents of second order Euler-Lagrange forms and the inverse problem of the calculus of variations
- Lepage equivalents of second order Euler-Lagrange forms and the inverse problem of the calculus of variations (en)
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skos:prefLabel
| - Lepage equivalents of second order Euler-Lagrange forms and the inverse problem of the calculus of variations
- Lepage equivalents of second order Euler-Lagrange forms and the inverse problem of the calculus of variations (en)
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skos:notation
| - RIV/61988987:17310/09:A1401A5F!RIV14-GA0-17310___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/09/0981), Z(MSM6198959214)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61988987:17310/09:A1401A5F
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Second-order Euler-Lagrange equations; Euler-Lagrange form; Lepage form; Lepage equivalent of a Lagrangian; Lepage equivalent of an Euler-Lagrange form; inverse problem of the calculus of variations (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - SG - Singapurská republika
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Krupková, Olga
- Smetanová, D.
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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