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Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments

Author

Listed:
  • Osama Moaaz

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

  • Rami Ahmad El-Nabulsi

    (Athens Institute for Education and Research, Mathematics and Physics Divisions, 10671 Athens, Greece
    These authors contributed equally to this work.)

  • Waad Muhsin

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

  • Omar Bazighifan

    (Department of Mathematics, Faculty of Science, Hadhramout University, 50512 Hadhramout, Yemen
    Department of Mathematics, Faculty of of Education, Seiyun University, 50512 Hadhramout, Yemen
    These authors contributed equally to this work.)

Abstract

In this study, we establish new sufficient conditions for oscillation of solutions of second-order neutral differential equations with distributed deviating arguments. By employing a refinement of the Riccati transformations and comparison principles, we obtain new oscillation criteria that complement and improve some results reported in the literature. Examples are provided to illustrate the main results.

Suggested Citation

  • Osama Moaaz & Rami Ahmad El-Nabulsi & Waad Muhsin & Omar Bazighifan, 2020. "Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:849-:d:362209
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    References listed on IDEAS

    as
    1. Candan, T., 2015. "Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 199-203.
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    Cited by:

    1. Taher S. Hassan & Rabie A. Ramadan & Zainab Alsheekhhussain & Ahmed Y. Khedr & Amir Abdel Menaem & Ismoil Odinaev, 2022. "Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order," Mathematics, MDPI, vol. 10(7), pages 1-15, March.
    2. Taher S. Hassan & Qingkai Kong & Rami Ahmad El-Nabulsi & Waranont Anukool, 2022. "New Hille Type and Ohriska Type Criteria for Nonlinear Third-Order Dynamic Equations," Mathematics, MDPI, vol. 10(21), pages 1-12, November.

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