Automorphisms of Ordinary Differential Equations

dc.contributor.authorTryhuk, Václavcs
dc.contributor.authorChrastinová, Veronikacs
dc.coverage.issueID 482963cs
dc.coverage.volume2014cs
dc.date.accessioned2020-08-04T11:01:50Z
dc.date.available2020-08-04T11:01:50Z
dc.date.issued2014-01-29cs
dc.description.abstractThe paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the hierarchy of dependent variables, and the order of derivatives. Internal approach to the symmetries of one-dimensional constrained variational integrals is moreover proposed without the use of multipliers.en
dc.description.abstractČlánek se zabývá v plné obecnosti lokální teorií vnitřních symetrií nedourčených diferenciálních rovnic.cs
dc.formattextcs
dc.format.extent1-32cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAbstract and Applied Analysis. 2014, vol. 2014, issue ID 482963, p. 1-32.en
dc.identifier.doi10.1155/2014/482963cs
dc.identifier.issn1085-3375cs
dc.identifier.other105046cs
dc.identifier.urihttp://hdl.handle.net/11012/137073
dc.language.isoencs
dc.publisherHindawi Publishing Corporationcs
dc.relation.ispartofAbstract and Applied Analysiscs
dc.relation.urihttp://dx.doi.org/10.1155/2014/482963cs
dc.rightsCreative Commons Attribution 3.0 Unportedcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1085-3375/cs
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/cs
dc.subjectSymetrie diferenciálních rovnic
dc.subjecttransformace vyšších řádů
dc.subjectvariace
dc.subjectinfinitesimální symetrie
dc.subjectdifiety
dc.subjectPoincar\'e--Cartanovy formy
dc.subjectproblém ekvivalence.
dc.subjectSymmetry of differential equationen
dc.subjecthigher--order transformationen
dc.subjectvariationen
dc.subjectinfinitesimal symmetryen
dc.subjectdiffietyen
dc.subjectcontrollable differential equationen
dc.subjectconstrained variational integralen
dc.subjectPoincar\'e--Cartan formen
dc.subjectgeneral equivalence problem.en
dc.titleAutomorphisms of Ordinary Differential Equationsen
dc.title.alternativeAutomorfismy obyčejných diferenciálních rovniccs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-105046en
sync.item.dbtypeVAVen
sync.item.insts2020.08.04 13:01:50en
sync.item.modts2020.08.04 12:28:50en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. AdMaS - dotace 12/2010cs
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