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Philos-Type Oscillation Results for Third-Order Differential Equation with Mixed Neutral Terms

Author

Listed:
  • Marappan Sathish Kumar

    (Department of Mathematics, Paavai Engineering College (Autonomous), Namakkal 637 018, Tamil Nadu, India
    These authors contributed equally to this work.)

  • Omar Bazighifan

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

  • Alanoud Almutairi

    (Department of Mathematics, Faculty of Science, University of Hafr Al Batin, P.O. Box 1803, Hafr Al Batin 31991, Saudi Arabia
    These authors contributed equally to this work.)

  • Dimplekumar N. Chalishajar

    (Department of Applied Mathematics, Virginia Military Institute, 435 Mallory Hall, Letcher Av., Lexington, VA 24450, USA
    These authors contributed equally to this work.)

Abstract

The motivation for this paper is to create new Philos-type oscillation criteria that are established for third-order mixed neutral differential equations with distributed deviating arguments. The key idea of our approach is to use the triple of the Riccati transformation techniques and the integral averaging technique. The established criteria improve, simplify and complement results that have been published recently in the literature. An example is also given to demonstrate the applicability of the obtained conditions.

Suggested Citation

  • Marappan Sathish Kumar & Omar Bazighifan & Alanoud Almutairi & Dimplekumar N. Chalishajar, 2021. "Philos-Type Oscillation Results for Third-Order Differential Equation with Mixed Neutral Terms," Mathematics, MDPI, vol. 9(9), pages 1-9, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:1021-:d:547297
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    References listed on IDEAS

    as
    1. 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).
    2. Agarwal, Ravi P. & Zhang, Chenghui & Li, Tongxing, 2016. "Some remarks on oscillation of second order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 178-181.
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