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New Oscillation Criteria for H‐Difference Equation With Oscillatory Periodic Coefficients   
Yazarlar (2)
Prof. Dr. Yaşar BOLAT Prof. Dr. Yaşar BOLAT
Kastamonu Üniversitesi, Türkiye
Reyhan Gokteke
Kastamonu University, Turkey
Devamını Göster
Özet
In this manuscript, new oscillation criteria are given for solutions of h-order delay difference equation in the equation (1.1). There, four cases of (Formula presented.) are considered: for (Formula presented.), as oscillatory periodic sequences with periods (Formula presented.) and (Formula presented.) and a quickly oscillating sequence such that (Formula presented.). It is well-known that coefficient functions have a very important role in the behavior of the solutions of an equation. The coefficient sequence (Formula presented.) 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.
Anahtar Kelimeler
first-order difference equation | oscillation | oscillatory | periodic oscillatory coefficient | quickly oscillatory coefficient
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Mathematical Methods in the Applied Sciences
Dergi ISSN 0170-4214
Dergi Tarandığı Indeksler
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2025
Sayı 1
Doi Numarası 10.22541/au.172589764.42504493/v1
Makale Linki https://doi.org/10.1002/mma.10746
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
New Oscillation Criteria for H‐Difference Equation With Oscillatory Periodic Coefficients

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