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Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term

Author

Listed:
  • Saad Althobati

    (Department of Science and Technology, University College-Ranyah, Taif University, Ranyah 21975, Saudi Arabia
    These authors contributed equally to this work.)

  • Omar Bazighifan

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

  • Mehmet Yavuz

    (Department of Mathematics and Computer Sciences, Necmettin Erbakan University, 42090 Konya, Turkey
    These authors contributed equally to this work.)

Abstract

In this work, we present new oscillation conditions for the oscillation of the higher-order differential equations with the middle term. We obtain some oscillation criteria by a comparison method with first-order equations. The obtained results extend and simplify known conditions in the literature. Furthermore, examining the validity of the proposed criteria is demonstrated via particular examples.

Suggested Citation

  • Saad Althobati & Omar Bazighifan & Mehmet Yavuz, 2021. "Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term," Mathematics, MDPI, vol. 9(4), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:346-:d:496359
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    Cited by:

    1. Barakah Almarri & Ali Hasan Ali & António M. Lopes & Omar Bazighifan, 2022. "Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions," Mathematics, MDPI, vol. 10(6), pages 1-10, March.

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