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Trichotomy of nonoscillatory solutions for nonlinear first- order neutral difference equation with generalized difference operators

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dc.contributor.authorBolat, Yaşar
dc.contributor.authorGevgeşoğlu, Murat
dc.date.accessioned2026-01-04T22:02:46Z
dc.date.issued2025-06-01
dc.description.abstractIn this study, we examine the trichotomy of non-oscillatory solution for the nonlinear first-order neutral difference equation ∆_a (x_n-a^(n+1) x_(n-1) )+∆_a (x_(n-1)/b_(n-1) )+q_n f(x_(n-τ) )=0,n∈N_max{1,τ} , where ∆_a x_n=x_(n+1)-ax_n,τ∈N,a∈R^+ with ∆_a^m Δ=∆_a^(m-1) (∆_a ), aⁿ is a general term of exponential sequence, (q_n) is real valued sequences. The accuracy of the primary findings is demonstrated by examples.
dc.description.urihttps://doi.org/10.35378/gujs.1383308
dc.description.urihttps://dergipark.org.tr/tr/pub/gujs/issue/91908/1383308
dc.identifier.doi10.35378/gujs.1383308
dc.identifier.eissn2147-1762
dc.identifier.endpage910
dc.identifier.openairedoi_dedup___::758513149e471c8c56976b2f8be6ac25
dc.identifier.orcid0000-0002-7978-1078
dc.identifier.orcid0000-0001-5215-427x
dc.identifier.scopus2-s2.0-105008440853
dc.identifier.startpage899
dc.identifier.urihttps://hdl.handle.net/20.500.12597/42705
dc.identifier.volume38
dc.publisherGazi University Journal of Science
dc.relation.ispartofGazi University Journal of Science
dc.rightsOPEN
dc.subjectAdi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler
dc.subjectOrdinary Differential Equations, Difference Equations and Dynamical Systems
dc.subjectTrichotomy
dc.subjectOscillation
dc.subjectNonoscillation
dc.subjectNeutral difference equation
dc.subjectGeneralized difference operators.
dc.titleTrichotomy of nonoscillatory solutions for nonlinear first- order neutral difference equation with generalized difference operators
dc.typeArticle
dspace.entity.typePublication
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