Existence of solutions to fourth-order differential equations with deviating arguments

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dc.contributor.authorNaceri, Mostepha
dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorCetin, Erbil
dc.contributor.authorAmir, El Haffaf
dc.date.accessioned2019-10-27T20:23:58Z
dc.date.available2019-10-27T20:23:58Z
dc.date.issued2015
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this paper, we consider fourth-order differential equations on a half-line with deviating arguments of the form u((4))(t) + q(t) f (t, [u(t)], [u'(t)], [u ''(t)], u'''(t)) = 0, 0 < t < + infinity, with the boundary conditions u(0) = A, u' (0) = B, u '' (t) -au'''(t) = theta(t), -tau <= t <= 0; u'''(+infinity) = C. We present sufficient conditions for the existence of a solution between a pair of lower and upper solutions by using Schauder's fixed point theorem. Also, we establish the existence of three solutions between two pairs of lower and upper solutions by using topological degree theory. An important feature of our existence criteria is that the obtained solutions may be unbounded. We illustrate the importance of our results through two simple examples.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThe authors are grateful for the referees' careful reading and comments on this paper that led to the improvement of the original manuscript. This work was done when the third author was on academic leave, visiting Texas A&M University Kingsville, Department of Mathematics. He gratefully acknowledges the financial support of The Scientific and Technological Research Council of Turkey (TUBITAK).en_US
dc.identifier.doi10.1186/s13661-015-0373-x
dc.identifier.issn1687-2770
dc.identifier.issn1687-2770en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1186/s13661-015-0373-x
dc.identifier.urihttps://hdl.handle.net/11454/42078
dc.identifier.wosWOS:000361546800003en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectfourth-orderen_US
dc.subjectboundary value problemen_US
dc.subjecthalf-lineen_US
dc.subjectupper solutionen_US
dc.subjectlower solutionen_US
dc.titleExistence of solutions to fourth-order differential equations with deviating argumentsen_US
dc.typeArticleen_US

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