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Description
| - Cílem článku je podat přehled vlastností Eulerova-Lagrangeova zobrazení ve variačním počtu vyššího řádu na fibrovaných prostorech. Prezentujeme základní teorémy o jádře Eulerova-Lagrangeova zobrazení, popisující variačně triviální Lagrangiány, a jeho obrazu, charakterizující variační dynamické formy. Diskutujeme vlastnosti invariance Lagrangiánů a Eulerových-Lagrangeových forem a teorii Noetherové. (cs)
- The purpose of this paper is to review properties of the Euler-Lagrange mapping in the higher order variational theory on bred manifolds. We present basic theorems on the kernel of the Euler-Lagrange mapping, describing variationally trivial Lagrangians, and its image, characterizing variational source forms. We discuss invariance properties of Lagrangians and Euler-Lagrange forms, and the Noether?s theory.
- The purpose of this paper is to review properties of the Euler-Lagrange mapping in the higher order variational theory on bred manifolds. We present basic theorems on the kernel of the Euler-Lagrange mapping, describing variationally trivial Lagrangians, and its image, characterizing variational source forms. We discuss invariance properties of Lagrangians and Euler-Lagrange forms, and the Noether?s theory. (en)
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Title
| - The structure of the Euler-Lagrange mapping
- Struktura Eulerova-Lagrangeova zobrazení (cs)
- The structure of the Euler-Lagrange mapping (en)
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skos:prefLabel
| - The structure of the Euler-Lagrange mapping
- Struktura Eulerova-Lagrangeova zobrazení (cs)
- The structure of the Euler-Lagrange mapping (en)
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skos:notation
| - RIV/61989592:15310/07:00005358!RIV09-MSM-15310___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/06/0922), 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/61989592:15310/07:00005358
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - fibred manifold; Euler-Lagrange mapping; variationally trivial Lagrangian; variational source form; invariant Lagrangian; Noether theorem (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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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
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http://linked.open...n/vavai/riv/zamer
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http://localhost/t...ganizacniJednotka
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