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New Criteria for Oscillation of Half-Linear Differential Equations with p -Laplacian-like Operators

Author

Listed:
  • Omar Bazighifan

    (Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy
    Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
    These authors contributed equally to this work.)

  • F. Ghanim

    (Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates
    These authors contributed equally to this work.)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland
    These authors contributed equally to this work.)

  • Khalil S. Al-Ghafri

    (University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman
    These authors contributed equally to this work.)

  • Maryam Al-Kandari

    (Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Khaldiyah City, Kuwait
    These authors contributed equally to this work.)

Abstract

In this paper, new oscillatory properties for fourth-order delay differential equations with p -Laplacian-like operators are established, using the Riccati transformation and comparison method. Moreover, our results are an extension and complement to previous results in the literature. We provide some examples to examine the applicability of our results.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2584-:d:656444
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    References listed on IDEAS

    as
    1. 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.
    2. Bazighifan, Omar, 2020. "On the oscillation of certain fourth-order differential equations with p-Laplacian like operator," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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