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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 1

An iterative oscillation test for delay difference equations

Başak Karpuz(DOKUZ EYLUL UNIVERSITY)0000-0002-0242-972X
Zehra Ozsever(DOKUZ EYLUL UNIVERSITY)0000-0001-7451-4520
Pages
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Publication Date
2022-02-14
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also present a numerical example emphasizing the significance of our new result in the literature of delay difference equations.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we advance a recent oscillation test for the oscillation of the delay difference equation \begin{equation} x(n+1)-x(n)+p(n)x(n-\tau)=0\quad\text{for}\ n=0,1,\cdots,\nonumber \end{equation} where $\{p(n)\}$ is a nonnegative sequence of reals and $\tau$ is a nonnegative integer.
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Key Findings & Data:In this paper, we advance a recent oscillation test for the oscillation of the delay difference equation \begin{equation} x(n+1)-x(n)+p(n)x(n-\tau)=0\quad\text{for}\ n=0,1,\cdots,\nonumber \end{equation} where $\{p(n)\}$ is a nonnegative sequence of reals and $\tau$ is a nonnegative integer.
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Conclusion & Impact:We also present a numerical example emphasizing the significance of our new result in the literature of delay difference equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Oscillation · Difference equations · Iteration

Abstract

In this paper, we advance a recent oscillation test for the oscillation of the delay difference equation \begin{equation} x(n+1)-x(n)+p(n)x(n-\tau)=0\quad\text{for}\ n=0,1,\cdots,\nonumber \end{equation} where $\{p(n)\}$ is a nonnegative sequence of reals and $\tau$ is a nonnegative integer. We also present a numerical example emphasizing the significance of our new result in the literature of delay difference equations.

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Cite This Article

Karpuz, B., Ozsever, Z. (2022). An iterative oscillation test for delay difference equations. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 1. https://doi.org/10.15672/hujms.944131

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