Oscillation criterion for half-linear differential equations with periodic coefficients

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dc.authoridHilscher, Roman Simon/0000-0001-5844-4526
dc.authoridOzbekler, Abdullah/0000-0001-5196-4078
dc.authorscopusid6701522830
dc.authorscopusid9434099700
dc.authorscopusid37098222100
dc.authorwosidHilscher, Roman Simon/H-4631-2013
dc.contributor.authorÖzbekler, Abdullah
dc.contributor.authorOzbekler, A.
dc.contributor.authorSimon Hilscher, R.
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:27:55Z
dc.date.available2024-07-05T14:27:55Z
dc.date.issued2012
dc.departmentAtılım Universityen_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, Turkeyen_US
dc.descriptionHilscher, Roman Simon/0000-0001-5844-4526; Ozbekler, Abdullah/0000-0001-5196-4078en_US
dc.description.abstractIn 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.sponsorshipCzech Science Foundation [201/11/0768, 201/10/1032]en_US
dc.description.sponsorshipResearch 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.citation10
dc.identifier.doi10.1016/j.jmaa.2012.03.020
dc.identifier.endpage366en_US
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84860920980
dc.identifier.scopusqualityQ2
dc.identifier.startpage360en_US
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2012.03.020
dc.identifier.urihttps://hdl.handle.net/20.500.14411/326
dc.identifier.volume393en_US
dc.identifier.wosWOS:000304722100004
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherAcademic Press inc Elsevier Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectOscillationen_US
dc.subjectHalf-linear equationen_US
dc.subjectPeriodic coefficientsen_US
dc.subjectModified Riccati equationen_US
dc.subjectHill's equationen_US
dc.titleOscillation criterion for half-linear differential equations with periodic coefficientsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationae65c9f5-e938-41ab-b335-fed50015a138
relation.isAuthorOfPublication.latestForDiscoveryae65c9f5-e938-41ab-b335-fed50015a138
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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