Two-point boundary value problems for 4th order ordinary differential equations

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dc.contributor.authorManjikashvili, Mariamcs
dc.contributor.authorMukhigulashvili, Sulkhancs
dc.coverage.issue1cs
dc.coverage.volume25cs
dc.date.accessioned2024-10-14T09:03:33Z
dc.date.available2024-10-14T09:03:33Z
dc.date.issued2024-05-01cs
dc.description.abstractThe new optimal efficient sufficient conditions are established for solvability and uniqueness of a solution of the linear and nonlinear fourth order ordinary differential equations u ( 4 ) ( t ) = p ( t ) u ( t )+ q ( t ) for t E [ a , b ] , u ( 4 ) ( t ) = p ( t ) u ( t ) + f ( t , u ( t )) for t E [ a , b ] , under the following two -point boundary conditions u ( i ) ( a ) = 0 , u ( i ) ( b ) = 0 ( i = 0 , 1 ) , and u ( i ) ( a ) = 0 ( i = 0 , 1 , 2 ) , u ( b ) = 0 , where p E L ([ a , b ] ; R ) is a nonconstant sign function and f E K ([ a , b ] x R; R ) .en
dc.formattextcs
dc.format.extent339-409cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMiskolc Mathematical Notes (electronic version). 2024, vol. 25, issue 1, p. 339-409.en
dc.identifier.doi10.18514/MMN.2024.4481cs
dc.identifier.issn1787-2413cs
dc.identifier.orcid0000-0001-6321-4549cs
dc.identifier.other189515cs
dc.identifier.urihttps://hdl.handle.net/11012/249492
dc.language.isoencs
dc.publisherUniversity of Miskolccs
dc.relation.ispartofMiskolc Mathematical Notes (electronic version)cs
dc.relation.urihttp://mat76.mat.uni-miskolc.hu/mnotes/article/4481cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1787-2413/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectfourth order nonlinear ordinary differential equationen
dc.subjectsolvabilityen
dc.subjectboundary value problemen
dc.titleTwo-point boundary value problems for 4th order ordinary differential equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-189515en
sync.item.dbtypeVAVen
sync.item.insts2024.10.14 11:03:33en
sync.item.modts2024.09.20 10:32:10en
thesis.grantorVysoké učení technické v Brně. Fakulta podnikatelská. Ústav informatikycs
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