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Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation

Author

Listed:
  • Awatif A. Hindi

    (Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia)

  • Osama Moaaz

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy)

  • Clemente Cesarano

    (Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy)

  • Wedad R. Alharbi

    (Physics Department, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi Arabia)

  • Mohamed A. Abdou

    (Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia)

Abstract

In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation ( a 0 t ( ( u t + a 1 t u g 0 t ) ′ ) β ) ′ + a 2 t u β g 1 t = 0 , where t ≥ t 0 , are established. Using Riccati substitution and comparison with an equation of the first-order, we obtain criteria that ensure the oscillation of the studied equation. Furthermore, we complement and improve the previous results in the literature.

Suggested Citation

  • Awatif A. Hindi & Osama Moaaz & Clemente Cesarano & Wedad R. Alharbi & Mohamed A. Abdou, 2021. "Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation," Mathematics, MDPI, vol. 9(17), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2026-:d:620572
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    References listed on IDEAS

    as
    1. 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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