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Oscillation Criteria for Delay and Advanced Differential Equations with Nonmonotone Arguments

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  • George E. Chatzarakis
  • Tongxing Li

Abstract

We study the oscillatory behavior of differential equations with nonmonotone deviating arguments and nonnegative coefficients. New oscillation criteria, involving and , are obtained based on an iterative method. Examples, numerically solved in MATLAB, are given to illustrate the applicability and strength of the obtained conditions over known ones.

Suggested Citation

  • George E. Chatzarakis & Tongxing Li, 2018. "Oscillation Criteria for Delay and Advanced Differential Equations with Nonmonotone Arguments," Complexity, Hindawi, vol. 2018, pages 1-18, April.
    • Handle: RePEc:hin:complx:8237634
    DOI: 10.1155/2018/8237634
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    References listed on IDEAS

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    1. Fathalla A. Rihan & M. Naim Anwar, 2012. "Qualitative Analysis of Delayed SIR Epidemic Model with a Saturated Incidence Rate," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-13, December.
    2. Rihan, F.A. & Abdel Rahman, D.H. & Lakshmanan, S. & Alkhajeh, A.S., 2014. "A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 606-623.
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    Cited by:

    1. Omar Bazighifan & Ioannis Dassios, 2020. "Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    2. George E. Chatzarakis & Said R. Grace & Irena Jadlovská & Tongxing Li & Ercan Tunç, 2019. "Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients," Complexity, Hindawi, vol. 2019, pages 1-7, August.
    3. Omar Bazighifan & F. Ghanim & Jan Awrejcewicz & Khalil S. Al-Ghafri & Maryam Al-Kandari, 2021. "New Criteria for Oscillation of Half-Linear Differential Equations with p -Laplacian-like Operators," Mathematics, MDPI, vol. 9(20), pages 1-10, October.
    4. Kılıç, Nurten & Öcalan, Özkan & Yıldız, Mustafa Kemal, 2024. "An improved oscillation theorem for nonlinear delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 478(C).

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