Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 43 Issue: 5

Oscillation results of higher order nonlinear neutral delay difference equations with a nonlinear neutral term

Mustafa Kemal Yildiz(AFYON KOCATEPE UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICS)
Hasan Öğünmez(AFYON KOCATEPE UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICS)
Sayfa
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Yayın Tarihi
2014-10-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We obtain sufficient conditions for the oscillations of all solutions of this equation.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work, we shall consider higher order nonlinear neutral delay difference equation of the type ∆m [xn + pnx α n−k] + qnx β n−l = 0 , n = 0, 1, 2, ... where {pn} is a sequence of real numbers, {qn} is a sequence of nonnegative real numbers, k and l are positive integers and α, β ∈ (0, ∞) are quotient of odd positive integers.
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Temel Bulgular & Veri:In this work, we shall consider higher order nonlinear neutral delay difference equation of the type ∆m [xn + pnx α n−k] + qnx β n−l = 0 , n = 0, 1, 2, ... where {pn} is a sequence of real numbers, {qn} is a sequence of nonnegative real numbers, k and l are positive integers and α, β ∈ (0, ∞) are quotient of odd positive integers.
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Sonuç & Katkı:We obtain sufficient conditions for the oscillations of all solutions of this equation.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Delay difference equation · higher order · nonlinear neutral

Abstract

In this work, we shall consider higher order nonlinear neutral delay difference equation of the type ∆m [xn + pnx α n−k] + qnx β n−l = 0 , n = 0, 1, 2, ... where {pn} is a sequence of real numbers, {qn} is a sequence of nonnegative real numbers, k and l are positive integers and α, β ∈ (0, ∞) are quotient of odd positive integers. We obtain sufficient conditions for the oscillations of all solutions of this equation.

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Bu Makaleye Atıf Yap

Yildiz, M. K., Öğünmez, H. (2014). Oscillation results of higher order nonlinear neutral delay difference equations with a nonlinear neutral term. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 5. https://ajindex.com/articles/1403373

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