Oscillation criteria for second order nonlinear neutral differential equations

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dc.contributor.authorHasanbulli, Mustafa
dc.contributor.authorRogovchenko, Yuri V.
dc.date.accessioned2026-02-06T18:36:18Z
dc.date.issued2010
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractBy refining the standard integral averaging technique, we obtain new oscillation criteria for a class of second order nonlinear neutral differential equations of the form (r(t)(x(t) + p(t)x(t - tau))')' + q(t)f(x(t), x(sigma(t))) - 0. Assumptions in our theorems are less restrictive, whereas the proofs are significantly simpler compared to those in the recent paper by Shi and Wang [18] and related contributions to the subject. Examples are provided to illustrate the relevance of new theorems. (C) 2010 Elsevier Inc. All rights reserved.
dc.description.sponsorshipFaculty of Sciences and Technology of the University of Kalmar
dc.description.sponsorshipResearch of the second author has been supported in part through the grant from the Faculty of Sciences and Technology of the University of Kalmar.
dc.identifier.doi10.1016/j.amc.2010.01.001
dc.identifier.endpage4399
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue12
dc.identifier.orcid0000-0002-6463-741X
dc.identifier.orcid0000-0003-1714-2833
dc.identifier.scopus2-s2.0-76849088567
dc.identifier.scopusqualityQ1
dc.identifier.startpage4392
dc.identifier.urihttps://doi.org/10.1016/j.amc.2010.01.001
dc.identifier.urihttps://hdl.handle.net/11129/12281
dc.identifier.volume215
dc.identifier.wosWOS:000274719300035
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectNonlinear neutral differential equations
dc.subjectSecond order
dc.subjectAsymptotic behavior
dc.subjectOscillatory solutions
dc.subjectIntegral averaging
dc.titleOscillation criteria for second order nonlinear neutral differential equations
dc.typeArticle

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