About: Lepage equivalents of second order Euler-Lagrange forms and the inverse problem of the calculus of variations

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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)
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)
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)
skos:notation	RIV/61988987:17310/09:A1401A5F!RIV14-GA0-17310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/0981), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Krupková, Olga
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ostravská univerzita v Ostravě / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	323571
http://linked.open...ai/riv/idVysledku	RIV/61988987:17310/09:A1401A5F
http://linked.open...riv/jazykVysledku	eng - angličtina
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)
http://linked.open.../riv/klicoveSlovo	Lepage form inverse problem of the calculus of variations Euler-Lagrange form Lepage equivalent of a Lagrangian Lepage equivalent of an Euler-Lagrange form Second-order Euler-Lagrange equations
http://linked.open...odStatuVydavatele	SG - Singapurská republika
http://linked.open...ontrolniKodProRIV	[3303EA63D0D4]
http://linked.open...i/riv/nazevZdroje	J NONLINEAR MATH PHY
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Global Analysis and the Geometry of Fibred Spaces
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	16
http://linked.open...iv/tvurceVysledku	Krupková, Olga Smetanová, D.
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
issn	1402-9251
number of pages	16 (xsd:int)
http://localhost/t...ganizacniJednotka	17310

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