The periodic problem for the second order integro-differential equations with distributed deviation

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dc.contributor.authorMukhigulashvili, Sulkhancs
dc.contributor.authorNovotná, Veronikacs
dc.coverage.issue2cs
dc.coverage.volume146cs
dc.date.issued2021-06-05cs
dc.description.abstractIn the paper we describe the classes of unique solvability of the Dirichlet and mixed two point boundary value problems for the second order linear integro-differential equation b u (t) = p0 (t)u(t) + p1 (t)u(1 (t)) + p(t, s)u( (s)) ds + q(t). a On the basis of the obtained and, in some sense, optimal results for the linear problems, by the a priori boundedness principle we prove the theorems of solvability and unique solvability for the second order nonlinear functional differential equations under the mentioned boundary conditions.en
dc.description.abstractIn the paper we describe the classes of unique solvability of the Dirichlet and mixed two point boundary value problems for the second order linear integro-differential equation b u (t) = p0 (t)u(t) + p1 (t)u(1 (t)) + p(t, s)u( (s)) ds + q(t). a On the basis of the obtained and, in some sense, optimal results for the linear problems, by the a priori boundedness principle we prove the theorems of solvability and unique solvability for the second order nonlinear functional differential equations under the mentioned boundary conditions.en
dc.formattextcs
dc.format.extent167-183cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMathematica Bohemica. 2021, vol. 146, issue 2, p. 167-183.en
dc.identifier.doi10.21136/MB.2020.0061-19cs
dc.identifier.issn0862-7959cs
dc.identifier.orcid0000-0001-6321-4549cs
dc.identifier.orcid0000-0001-9360-3035cs
dc.identifier.other159528cs
dc.identifier.scopus55546358800cs
dc.identifier.urihttp://hdl.handle.net/11012/193386
dc.language.isoencs
dc.publisherInstitute of Mathematics CAScs
dc.relation.ispartofMathematica Bohemicacs
dc.relation.urihttps://articles.math.cas.cz/10.21136/MB.2020.0061-19cs
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0862-7959/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/cs
dc.subjectIntegro-differential equationsen
dc.subjectDirichlet and mixed problemsen
dc.subjectunique solvabilityen
dc.subjecta priori boundedness principleen
dc.subjectIntegro-differential equations
dc.subjectDirichlet and mixed problems
dc.subjectunique solvability
dc.subjecta priori boundedness principle
dc.titleThe periodic problem for the second order integro-differential equations with distributed deviationen
dc.title.alternativeThe periodic problem for the second order integro-differential equations with distributed deviationen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-159528en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:14:00en
sync.item.modts2025.10.14 09:35:19en
thesis.grantorVysoké učení technické v Brně. Fakulta podnikatelská. Ústav informatikycs
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