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On the sharp oscillation criteria for half-linear second-order differential equations with several delay arguments

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  • Chatzarakis, George E.
  • Grace, Said R.
  • Jadlovská, Irena

Abstract

In the paper, we offer a qualitatively unimprovable oscillation result for half-linear several delay second-order differential equations, which improves and generalizes the one from the very recent study [8]. The sharpness of our newly obtained criterion is illustrated via Euler-type half-linear several delay differential equations.

Suggested Citation

  • Chatzarakis, George E. & Grace, Said R. & Jadlovská, Irena, 2021. "On the sharp oscillation criteria for half-linear second-order differential equations with several delay arguments," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    • Handle: RePEc:eee:apmaco:v:397:y:2021:i:c:s0096300320308687
    DOI: 10.1016/j.amc.2020.125915
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    References listed on IDEAS

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    1. Agarwal, Ravi P. & Zhang, Chenghui & Li, Tongxing, 2016. "Some remarks on oscillation of second order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 178-181.
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    Cited by:

    1. Ya-Ru Zhu & Zhong-Xuan Mao & Jing-Feng Tian & Ya-Gang Zhang & Xin-Ni Lin, 2022. "Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales," Mathematics, MDPI, vol. 10(5), pages 1-17, February.
    2. Irena Jadlovská, 2021. "New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations," Mathematics, MDPI, vol. 9(17), pages 1-23, August.

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