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New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities

Author

Listed:
  • Osama Moaaz

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    These authors contributed equally to this work.)

  • Shigeru Furuichi

    (Department of Information Science, College of Humanities and Sciences, Nihon University, 3-25-40, Sakurajyousui, Setagaya-ku, Tokyo 156-8550, Japan
    These authors contributed equally to this work.)

  • Ali Muhib

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Department of Mathematics, Faculty of Education (Al-Nadirah), Ibb University, PO Box 70270, Ibb, Yemen
    These authors contributed equally to this work.)

Abstract

In this work, we present a new technique for the oscillatory properties of solutions of higher-order differential equations. We set new sufficient criteria for oscillation via comparison with higher-order differential inequalities. Moreover, we use the comparison with first-order differential equations. Finally, we provide an example to illustrate the importance of the results.

Suggested Citation

  • Osama Moaaz & Shigeru Furuichi & Ali Muhib, 2020. "New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities," Mathematics, MDPI, vol. 8(3), pages 1-8, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:454-:d:335607
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    References listed on IDEAS

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    1. Miyajima, Shinya, 2017. "Verified solutions of delay eigenvalue problems," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 211-225.
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