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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 45 Issue: 2

Oscillation criteria for solutions to nonlinear dynamic equations of higher order

Donal O’regan
Taher S. Hassan
Pages
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Publication Date
2016-04-01
DOI
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AI Summary & Key Takeaways

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

Some applications illustrating our results are included.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper using some new dynamic inequalities we present some oscillation results for higher order dynamic equation n rn−1(t) φαn−1 h (rn−2(t)(...(r1(t)φα1 [x ∆(t)])∆...) ∆) ∆ io∆ +p (t) φγ (x (g (t))) = 0, on an unbounded time scale T.
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Key Findings & Data:Some new oscillation criteria are obtained using comparison techniques.
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Conclusion & Impact:Some applications illustrating our results are included.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Asymptotic behavior · oscillation · higher order

Abstract

In this paper using some new dynamic inequalities we present some oscillation results for higher order dynamic equation n rn−1(t) φαn−1 h (rn−2(t)(...(r1(t)φα1 [x ∆(t)])∆...) ∆) ∆ io∆ +p (t) φγ (x (g (t))) = 0, on an unbounded time scale T. Some new oscillation criteria are obtained using comparison techniques. Some applications illustrating our results are included.

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Cite This Article

O’regan, D., Hassan, T. S. (2016). Oscillation criteria for solutions to nonlinear dynamic equations of higher order. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 2. https://ajindex.com/articles/1403169

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