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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 4

Some new oscillation criteria for second-order hybrid differential equations

G. E. Chatzarakis
M. Deepa
N. Nagajothi
V. Sadhasivam
Sayfa
1334–1345
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We illustrate the validity of our results by means of various examples.*************************************************************************************

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we consider the second order hybrid differential equations.
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Temel Bulgular & Veri:For this class of equations, we establish a new criterion to check whether all solutions of an equation, in this class, oscillate.
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Sonuç & Katkı:We illustrate the validity of our results by means of various examples.*************************************************************************************
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Oscillation · Hybrid Differential Equation · Riccati technique

Abstract

In this paper, we consider the second order hybrid differential equations. For this class of equations, we establish a new criterion to check whether all solutions of an equation, in this class, oscillate. We prove this criterion, using a generalized Riccati technique and an averaging method. The established oscillatory criteria have a distinct form, from all other relevant criteria, in the literature. We illustrate the validity of our results by means of various examples.*************************************************************************************

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Bu Makaleye Atıf Yap

Chatzarakis, G. E., Deepa, M., Nagajothi, N., Sadhasivam, V. (2022). Some new oscillation criteria for second-order hybrid differential equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 4, 1334–1345. https://ajindex.com/articles/529606

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