Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorVážanová, Gabrielacs
dc.coverage.issue1cs
dc.coverage.volume11cs
dc.date.issued2022-02-14cs
dc.description.abstractIn the paper, nonlinear systems of mixed-type functional differential equations are analyzed and the existence of semi-global and global solutions is proved. In proofs, the monotone iterative technique and Schauder-Tychonov fixed-point theorem are used. In addition to proving the existence of global solutions, estimates of their co-ordinates are derived as well. Linear variants of results are considered and the results are illustrated by selected examples.en
dc.formattextcs
dc.format.extent757-784cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAdvances in Nonlinear Analysis. 2022, vol. 11, issue 1, p. 757-784.en
dc.identifier.doi10.1515/anona-2021-0218cs
dc.identifier.issn2191-950Xcs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0001-5327-9218cs
dc.identifier.other176559cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.researcheridABD-8285-2020cs
dc.identifier.scopus6701633618cs
dc.identifier.scopus57202953930cs
dc.identifier.urihttp://hdl.handle.net/11012/203912
dc.language.isoencs
dc.publisherDe Gruytercs
dc.relation.ispartofAdvances in Nonlinear Analysiscs
dc.relation.urihttps://www.degruyter.com/document/doi/10.1515/anona-2021-0218/htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2191-950X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectMixed-type functional differential equationen
dc.subjectdelayed argumenten
dc.subjectadvanced argumenten
dc.subjectsemi-global solutionen
dc.subjectglobal solutionen
dc.subjectmonotone iterative methoden
dc.subjectfixed-point theoremen
dc.titleLower and upper estimates of semi-global and global solutions to mixed-type functional differential equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-176559en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:40:48en
sync.item.modts2025.01.17 16:44:49en
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
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