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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We obtain sufficient conditions for the oscillations of all solutions of this equation.
📌 3 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact:We obtain sufficient conditions for the oscillations of all solutions of this equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article
YİLDİZ, 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, Cilt: 43 - Sayı: 5, 809–814. https://ajindex.com/articles/669558