Automorphisms of Ordinary Differential Equations

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dc.contributor.authorTryhuk, Václavcs
dc.contributor.authorChrastinová, Veronikacs
dc.coverage.issueID 482963cs
dc.coverage.volume2014cs
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.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.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.orcid0000-0003-3643-9253cs
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.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.subjectSymmetry of differential equation
dc.subjecthigher--order transformation
dc.subjectvariation
dc.subjectinfinitesimal symmetry
dc.subjectdiffiety
dc.subjectcontrollable differential equation
dc.subjectconstrained variational integral
dc.subjectPoincar\'e--Cartan form
dc.subjectgeneral equivalence problem.
dc.titleAutomorphisms of Ordinary Differential Equationsen
dc.title.alternativeAutomorphisms of Ordinary Differential Equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-105046en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:14:29en
sync.item.modts2025.10.14 10:35:19en
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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