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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 4

Some new oscillation criteria for second-order hybrid differential equations

G. E. Chatzarakis(School of Pedagogical and Technological Education (ASPETE))0000-0002-0477-1895
M. Deepa(Thiruvalluvar Government Arts College)0000-0001-6210-4911
N. Nagajothi(Thiruvalluvar Government Arts College)0000-0002-3635-2396
V Sadhasivam(Thiruvalluvar Government Arts College)0000-0001-5333-0001
Sayfa
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Yayın Tarihi
2020-08-06
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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:Research Article
📍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. (2020). Some new oscillation criteria for second-order hybrid differential equations. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 4. https://doi.org/10.15672/hujms.541773

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