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Asymptotic Behavior and Oscillation of Third-Order Nonlinear Neutral Differential Equations with Mixed Nonlinearities

Author

Listed:
  • Taher S. Hassan

    (Department of Mathematics, College of Science, University of Hail, Hail 2440, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy)

  • Bassant M. El-Matary

    (Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 51452, Saudi Arabia
    Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

Abstract

In this paper, we investigate the asymptotic properties of third-order nonlinear neutral differential equations with mixed nonlinearities using the comparison principle. Our results not only vastly improve upon but also broadly generalize many previously known ones. Examples demonstrating the applicability and efficacy of our results are provided.

Suggested Citation

  • Taher S. Hassan & Bassant M. El-Matary, 2023. "Asymptotic Behavior and Oscillation of Third-Order Nonlinear Neutral Differential Equations with Mixed Nonlinearities," Mathematics, MDPI, vol. 11(2), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:424-:d:1034669
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    References listed on IDEAS

    as
    1. Tongxing Li & Chenghui Zhang & Guojing Xing, 2012. "Oscillation of Third-Order Neutral Delay Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, January.
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