Unbounded solutions of third order three-point boundary value problems on a half-line

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dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorCetin, Erbil
dc.date.accessioned2019-10-27T23:10:06Z
dc.date.available2019-10-27T23:10:06Z
dc.date.issued2016
dc.departmentEge Üniversitesien_US
dc.description.abstractWe consider the following third order three-point boundary value problem on a half-line: x '''(t) + q(t)f(t, x(t), x'(t), x ''(t)) = 0, t is an element of (0, +infinity), x '(0) = A, x(eta) = B, x ''(+infinity) = C, where eta is an element of (0, +infinity), but fixed, and f : [0, +infinity) x R-3 -> R satisfies Nagumo's condition. We apply Schauder's fixed point theorem, the upper and lower solution method, and topological degree theory, to establish existence theory for at least one unbounded solution, and at least three unbounded solutions. To demonstrate the usefulness of our results, we illustrate two examples.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThis work was done when the second author was on academic leave, visiting Department of Mathematics, Texas A&M University-Kingsville. He gratefully acknowledges the financial support of The Scientific and Technological Research Council of Turkey (TUBITAK).en_US
dc.identifier.doi10.1515/anona-2015-0043
dc.identifier.endpage119en_US
dc.identifier.issn2191-9496
dc.identifier.issn2191-950X
dc.identifier.issn2191-9496en_US
dc.identifier.issn2191-950Xen_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage105en_US
dc.identifier.urihttps://doi.org/10.1515/anona-2015-0043
dc.identifier.urihttps://hdl.handle.net/11454/52821
dc.identifier.volume5en_US
dc.identifier.wosWOS:000375944500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofAdvances in Nonlinear Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectThree-point boundary value problemen_US
dc.subjectlower and upper solutionsen_US
dc.subjecthalf-lineen_US
dc.subjectSchauder's fixed point theoremen_US
dc.subjecttopological degree theoryen_US
dc.titleUnbounded solutions of third order three-point boundary value problems on a half-lineen_US
dc.typeArticleen_US

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