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Investigating Oscillatory Behavior in Third-Order Neutral Differential Equations with Canonical Operators

Author

Listed:
  • Abdulaziz Khalid Alsharidi

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi Arabia)

  • Ali Muhib

    (Department of Mathematics, Faculty of Applied and Educational Sciences—Al-Nadera, Ibb University, Ibb 70270, Yemen
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

In this study, we aim to set new criteria regarding the asymptotic behavior of the neutral differential equation of the third order. These criteria are designed to ensure that this equation is oscillatory using comparisons with first-order differential equations and Riccati substitution. The results we obtained improve some of the results found in the literature. Some examples are provided to illustrate the applicability of our results and compare them with results found in some previous studies.

Suggested Citation

  • Abdulaziz Khalid Alsharidi & Ali Muhib, 2024. "Investigating Oscillatory Behavior in Third-Order Neutral Differential Equations with Canonical Operators," Mathematics, MDPI, vol. 12(16), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2488-:d:1454801
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    References listed on IDEAS

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    1. Agarwal, Ravi P. & Bohner, Martin & Li, Tongxing & Zhang, Chenghui, 2015. "Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 481-490.
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