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Nonoscillation and oscillation criteria for class of higher - order difference equations involving generalized difference operator

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dc.contributor.authorNar, Aysun
dc.contributor.authorBolat, Yaşar
dc.contributor.authorDeğer, Serbun Ufuk
dc.contributor.authorGevgeşoğlu, Murat
dc.date.accessioned2026-01-04T16:39:53Z
dc.date.issued2022-03-31
dc.description.abstractSummary: In this paper, sufficient conditions are obtained for nonoscillation/oscillation of all solutions of a class of higher-order difference equations involving the generalized difference operator of the form \[ \Delta_a^k(p_n\Delta_a^2y_n)=f(n,y_n,\Delta_ay_n,\Delta_a^2y_n,\dots,\Delta_a^{k+1}y_n), \] where \(\Delta_a\) is generalized difference operator which is defined as \(\Delta_ay_n=y_{n+1}-ay_n\), \(a\neq{0}\).
dc.description.urihttps://doi.org/10.31801/cfsuasmas.904804
dc.description.urihttps://dergipark.org.tr/en/download/article-file/1668275
dc.description.urihttps://zbmath.org/7545449
dc.description.urihttps://dergipark.org.tr/tr/pub/cfsuasmas/issue/68411/904804
dc.description.urihttps://doi.org/https://doi.org/10.31801/cfsuasmas.904804
dc.description.urihttps://doi.org/https://doi.org/20.500.12575/86471
dc.identifier.doi10.31801/cfsuasmas.904804
dc.identifier.endpage203
dc.identifier.issn1303-5991
dc.identifier.openairedoi_dedup___::3f338e26bc2b96f5750a3723f5b1eb08
dc.identifier.orcid0000-0001-9458-8930
dc.identifier.startpage188
dc.identifier.urihttps://hdl.handle.net/20.500.12597/39593
dc.identifier.volume71
dc.identifier.wos000793009300004
dc.publisherCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
dc.relation.ispartofCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
dc.rightsOPEN
dc.subjectOscillation theory for difference equations
dc.subjectDifference equations
dc.subjectnonoscillation
dc.subjectApplied Mathematics
dc.subjectUygulamalı Matematik
dc.subjectLinear difference operators
dc.subjectdifference equations
dc.subjectoscillation
dc.subjectgeneralized difference operator
dc.subjectDifference equations
dc.subjectgeneralized difference operator
dc.subjectoscillation
dc.subjectnonoscillation
dc.titleNonoscillation and oscillation criteria for class of higher - order difference equations involving generalized difference operator
dc.typeArticle
dspace.entity.typePublication
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