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Dergiler / 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
Sayfa
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Yayın Tarihi
2016-04-01
DOI
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Some applications illustrating our results are included.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:Some new oscillation criteria are obtained using comparison techniques.
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Sonuç & Katkı:Some applications illustrating our results are included.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (28)

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