Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 2

Oscillation of fourth-order nonlinear neutral delay dynamic equations

Sayfa
331–339
Yayın Tarihi
2022-10-18
DOI
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In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $(\alpha(t)([x(t)-p(t)x(h(t))]^{\triangle\triangle\triangle})^{\alpha})^{\triangle}+q(t)x^{\beta}(g(t))=0$ , $t\epsilon[t_{0},\infty)_{T}$ where α and β are quotients of positive odd integers with β ≤ α.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $(\alpha(t)([x(t)-p(t)x(h(t))]^{\triangle\triangle\triangle})^{\alpha})^{\triangle}+q(t)x^{\beta}(g(t))=0$ , $t\epsilon[t_{0},\infty)_{T}$ where α and β are quotients of positive odd integers with β ≤ α.
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Temel Bulgular & Veri:In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $(\alpha(t)([x(t)-p(t)x(h(t))]^{\triangle\triangle\triangle})^{\alpha})^{\triangle}+q(t)x^{\beta}(g(t))=0$ , $t\epsilon[t_{0},\infty)_{T}$ where α and β are quotients of positive odd integers with β ≤ α.
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Sonuç & Katkı:In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $(\alpha(t)([x(t)-p(t)x(h(t))]^{\triangle\triangle\triangle})^{\alpha})^{\triangle}+q(t)x^{\beta}(g(t))=0$ , $t\epsilon[t_{0},\infty)_{T}$ where α and β are quotients of positive odd integers with β ≤ α.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Oscillation · Neutral · Time scales

Abstract

In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $(\alpha(t)([x(t)-p(t)x(h(t))]^{\triangle\triangle\triangle})^{\alpha})^{\triangle}+q(t)x^{\beta}(g(t))=0$ , $t\epsilon[t_{0},\infty)_{T}$ where α and β are quotients of positive odd integers with β ≤ α.

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Bu Makaleye Atıf Yap

ZAFER, A., GRACE, S. R. (2022). Oscillation of fourth-order nonlinear neutral delay dynamic equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 2, 331–339. https://ajindex.com/articles/530238

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