Existence of solutions for fourth order three-point boundary value problems on a half-line
| dc.contributor.author | Cetin, Erbil | |
| dc.contributor.author | Agarwal, Ravi P. | |
| dc.date.accessioned | 2019-10-27T22:29:04Z | |
| dc.date.available | 2019-10-27T22:29:04Z | |
| dc.date.issued | 2015 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | In this paper, we apply Schauder's fixed point theorem, the upper and lower solution method, and topological degree theory to establish the existence of unbounded solutions for the following fourth order three-point boundary value problem on a half-line x''''(t) + q(t) f(t, x(t), x'(t), x ''(t), x'''(t)) = 0, t is an element of (0, +infinity), x ''(0) = A, x(eta) = B-1, x'(eta) = B-2, x'''(+infinity) = C, where eta is an element of (0, +infinity), but fixed, and f : [0, +infinity) x R-4 -> R satisfies Nagumo's condition. We present easily verifiable sufficient conditions for the existence of at least one solution, and at least three solutions of this problem. We also give two examples to illustrate the importance of our results. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) | en_US |
| dc.description.sponsorship | This work was done when the first 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.doi | 10.14232/ejqtde.2015.1.62 | |
| dc.identifier.issn | 1417-3875 | |
| dc.identifier.issn | 1417-3875 | en_US |
| dc.identifier.issue | 62 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.uri | https://doi.org/10.14232/ejqtde.2015.1.62 | |
| dc.identifier.uri | https://hdl.handle.net/11454/51038 | |
| dc.identifier.wos | WOS:000365262600001 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Szeged, Bolyai Institute | en_US |
| dc.relation.ispartof | Electronic Journal of Qualitative Theory of Differential Equations | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | three-point boundary value problem | en_US |
| dc.subject | lower and upper solutions | en_US |
| dc.subject | half-line | en_US |
| dc.subject | Schauder's fixed point theorem | en_US |
| dc.subject | topological degree theory | en_US |
| dc.title | Existence of solutions for fourth order three-point boundary value problems on a half-line | en_US |
| dc.type | Article | en_US |
