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New Criteria of Oscillation for Linear Sturm–Liouville Delay Noncanonical Dynamic Equations

Author

Listed:
  • Taher S. Hassan

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Martin Bohner

    (Department of Mathematics and Statistics, Missouri S&T, Rolla, MO 65409-0020, USA)

  • Iambor Loredana Florentina

    (Department of Mathematics and Computer Science, University of Oradea, Univeritatii nr.1, 410087 Oradea, Romania)

  • Amir Abdel Menaem

    (Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia)

  • Mouataz Billah Mesmouli

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia)

Abstract

In this work, we deduce a new criterion that guarantees the oscillation of solutions to linear Sturm–Liouville delay noncanonical dynamic equations; these results emulate the criteria of the Hille and Ohriska types for canonical dynamic equations, and these results also solve an open problem in many works in the literature. Several examples are offered, demonstrating that the findings achieved are precise, practical, and adaptable.

Suggested Citation

  • Taher S. Hassan & Martin Bohner & Iambor Loredana Florentina & Amir Abdel Menaem & Mouataz Billah Mesmouli, 2023. "New Criteria of Oscillation for Linear Sturm–Liouville Delay Noncanonical Dynamic Equations," Mathematics, MDPI, vol. 11(23), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4850-:d:1292776
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    References listed on IDEAS

    as
    1. Taher S. Hassan & Yuangong Sun & Amir Abdel Menaem, 2020. "Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order," Mathematics, MDPI, vol. 8(11), pages 1-19, October.
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