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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 4

Oscillation of fourth-order dynamic equations

Martin BOHNER
Shurong SUN
Said R. GRACE
Sayfa
545–553
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we shall reduce the problem of the oscillation of all solu- tions of certain nonlinear fourth-order dynamic equations to the prob- lem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature.
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Temel Bulgular & Veri:Further oscillation criteria of fourth-order equations are given and proved using integration and Tay- lor’s formula on time scales.
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Sonuç & Katkı:Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we shall reduce the problem of the oscillation of all solu- tions of certain nonlinear fourth-order dynamic equations to the prob- lem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature. Further oscillation criteria of fourth-order equations are given and proved using integration and Tay- lor’s formula on time scales. Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.

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Bu Makaleye Atıf Yap

BOHNER, M., SUN, S., GRACE, S. R. (2022). Oscillation of fourth-order dynamic equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 545–553. https://ajindex.com/articles/530638

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Kaynakça (17)

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