The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

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dc.contributor.authorMukhigulashvili, Sulkhancs
dc.contributor.authorPůža, Bedřichcs
dc.coverage.issue17cs
dc.coverage.volume2015cs
dc.date.issued2015-01-30cs
dc.description.abstractThe a priori boundedness principle is proved for the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the two-point right-focal problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear differential equations with argument deviations under the two-point right-focal boundary conditions.en
dc.formattextcs
dc.format.extent1-21cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationBoundary Value Problems. 2015, vol. 2015, issue 17, p. 1-21.en
dc.identifier.doi10.1186/s13661-014-0277-1cs
dc.identifier.issn1687-2770cs
dc.identifier.orcid0000-0001-6321-4549cs
dc.identifier.orcid0000-0002-2949-4708cs
dc.identifier.other114435cs
dc.identifier.urihttp://hdl.handle.net/11012/137373
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofBoundary Value Problemscs
dc.relation.urihttp://www.boundaryvalueproblems.com/content/2015/1/17cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1687-2770/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjecthigher order nonlinear functional-differential equationsen
dc.subjecttwo-point right-focal boundary value problemen
dc.subjectstrong singularityen
dc.subjectFredholm propertyen
dc.titleThe focal boundary value problem for strongly singular higher-order nonlinear functional-differential equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-114435en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:43:25en
sync.item.modts2025.01.17 15:18:26en
thesis.grantorVysoké učení technické v Brně. Fakulta podnikatelská. Ústav informatikycs
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