Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorRebenda, Josefcs
dc.contributor.authorŠmarda, Zdeněkcs
dc.coverage.issue1cs
dc.coverage.volume2013cs
dc.date.issued2013-12-09cs
dc.description.abstractThe paper is devoted to the study of the solvability of a singular initial value problem for systems of ordinary differential equations. The main results give sufficient conditions for the existence of solutions in the right-hand neighbourhood of a singular point. In addition, the dimension of the set of initial data generating such solutions is estimated. An asymptotic behavior of solutions is determined as well and relevant asymptotic formulas are derived.en
dc.description.abstractThe paper is devoted to the study of the solvability of a singular initial value problem for systems of ordinary differential equations. The main results give sufficient conditions for the existence of solutions in the right-hand neighbourhood of a singular point. In addition, the dimension of the set of initial data generating such solutions is estimated. An asymptotic behavior of solutions is determined as well and relevant asymptotic formulas are derived.en
dc.formattextcs
dc.format.extent1-12cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAbstract and Applied Analysis. 2013, vol. 2013, issue 1, p. 1-12.en
dc.identifier.doi10.1155/2013/207352cs
dc.identifier.issn1085-3375cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0003-3356-4825cs
dc.identifier.orcid0000-0002-9559-6630cs
dc.identifier.other103650cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.researcheridA-6926-2013cs
dc.identifier.researcheridAAA-1702-2022cs
dc.identifier.scopus6701633618cs
dc.identifier.scopus35085237600cs
dc.identifier.scopus23973557200cs
dc.identifier.urihttp://hdl.handle.net/11012/193165
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofAbstract and Applied Analysiscs
dc.relation.urihttps://www.hindawi.com/journals/aaa/2013/207352/cs
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.subjectSingular initial value problemen
dc.subjectOrdinary differential equationsen
dc.subjectAsymptotic behavior of solutionsen
dc.subjectSingular initial value problem
dc.subjectOrdinary differential equations
dc.subjectAsymptotic behavior of solutions
dc.titleSingular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equationsen
dc.title.alternativeSingular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-103650en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:10:12en
sync.item.modts2025.10.14 10:30:39en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
thesis.grantorVysoké učení technické v Brně. Středoevropský technologický institut VUT. Kybernetika pro materiálové vědycs

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