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NEW OSCILLATION CRITERIA FOR H-DIFFERENCE EQUATION WITH OSCILLATORY PERIODIC COEFFICIENTS

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dc.contributor.authorBolat, Yasar
dc.contributor.authorGokteke, Reyhan
dc.date.accessioned2026-01-04T20:52:11Z
dc.date.issued2024-09-09
dc.description.abstractABSTRACTIn this manuscript, new oscillation criteria are given for solutions of h‐order delay difference equation in the equation (1.1). There, four cases of are considered: for , as oscillatory periodic sequences with periods and and a quickly oscillating sequence such that . It is well‐known that coefficient functions have a very important role in the behavior of the solutions of an equation. The coefficient sequence has been considered as positive sequences in all oscillation criteria so far. But it is considered as oscillatory periodic sequences and quickly oscillatory sequences for the first time in this study. We use a new technique to prove our results. Also, some examples are provided to demonstrate the effectiveness of the main results.
dc.description.urihttps://doi.org/10.22541/au.172589764.42504493/v1
dc.description.urihttps://doi.org/10.1002/mma.10746
dc.description.urihttps://zbmath.org/8081898
dc.identifier.doi10.22541/au.172589764.42504493/v1
dc.identifier.eissn1099-1476
dc.identifier.endpage8701
dc.identifier.issn0170-4214
dc.identifier.openairedoi_dedup___::5124409eeb83d9a30decc6041a3b2ed0
dc.identifier.orcid0000-0002-7978-1078
dc.identifier.startpage8696
dc.identifier.urihttps://hdl.handle.net/20.500.12597/42089
dc.identifier.volume48
dc.publisherWiley
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.rightsOPEN
dc.subjectOscillation theory for difference equations
dc.subjectoscillatory
dc.subjectoscillation
dc.subjectquickly oscillatory coefficient
dc.subjectOscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
dc.subjectfirst-order difference equation
dc.subjectAdditive difference equations
dc.subjectperiodic oscillatory coefficient
dc.titleNEW OSCILLATION CRITERIA FOR H-DIFFERENCE EQUATION WITH OSCILLATORY PERIODIC COEFFICIENTS
dc.typeArticle
dspace.entity.typePublication
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