Oscillation Criterion for Half-Linear Differential Equations With Periodic Coefficients
| dc.authorid | Hilscher, Roman Simon/0000-0001-5844-4526 | |
| dc.authorid | Ozbekler, Abdullah/0000-0001-5196-4078 | |
| dc.authorscopusid | 6701522830 | |
| dc.authorscopusid | 9434099700 | |
| dc.authorscopusid | 37098222100 | |
| dc.authorwosid | Hilscher, Roman Simon/H-4631-2013 | |
| dc.contributor.author | Dosly, O. | |
| dc.contributor.author | Ozbekler, A. | |
| dc.contributor.author | Simon Hilscher, R. | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:27:55Z | |
| dc.date.available | 2024-07-05T14:27:55Z | |
| dc.date.issued | 2012 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Dosly, O.; Simon Hilscher, R.] Masaryk Univ, Fac Sci, Dept Math & Stat, CZ-61137 Brno, Czech Republic; [Ozbekler, A.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description | Hilscher, Roman Simon/0000-0001-5844-4526; Ozbekler, Abdullah/0000-0001-5196-4078 | en_US |
| dc.description.abstract | In this paper, we present an oscillation criterion for second order half-linear differential equations with periodic coefficients. The method is based on the nonexistence of a proper solution of the related modified Riccati equation. Our result can be regarded as an oscillatory counterpart to the nonoscillation criterion by Sugie and Matsumura (2008). These two theorems provide a complete half-linear extension of the oscillation criterion of Kwong and Wong (2003) dealing with the Hill's equation. (C) 2012 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | Czech Science Foundation [201/11/0768, 201/10/1032] | en_US |
| dc.description.sponsorship | Research of the first and third authors was supported by the Czech Science Foundation under grants 201/11/0768 and 201/10/1032. The second author wishes to thank Masaryk University for hospitality provided while working on this research project. | en_US |
| dc.identifier.citationcount | 10 | |
| dc.identifier.doi | 10.1016/j.jmaa.2012.03.020 | |
| dc.identifier.endpage | 366 | en_US |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-84860920980 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 360 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2012.03.020 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/326 | |
| dc.identifier.volume | 393 | en_US |
| dc.identifier.wos | WOS:000304722100004 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Özbekler, Abdullah | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 11 | |
| dc.subject | Oscillation | en_US |
| dc.subject | Half-linear equation | en_US |
| dc.subject | Periodic coefficients | en_US |
| dc.subject | Modified Riccati equation | en_US |
| dc.subject | Hill's equation | en_US |
| dc.title | Oscillation Criterion for Half-Linear Differential Equations With Periodic Coefficients | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 12 | |
| dspace.entity.type | Publication | |
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