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Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments

Author

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  • Omar Bazighifan

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

  • Clemente Cesarano

    (Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
    These authors contributed equally to this work.)

Abstract

In this paper, we study the oscillation of second-order neutral differential equations with delayed arguments. Some new oscillatory criteria are obtained by a Riccati transformation. To illustrate the importance of the results, one example is also given.

Suggested Citation

  • Omar Bazighifan & Clemente Cesarano, 2019. "Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments," Mathematics, MDPI, vol. 7(7), pages 1-9, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:619-:d:247668
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    References listed on IDEAS

    as
    1. Chatzarakis, G.E. & Džurina, J. & Jadlovská, I., 2019. "New oscillation criteria for second-order half-linear advanced differential equations," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 404-416.
    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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    Cited by:

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    2. Osama Moaaz & Dumitru Baleanu & Ali Muhib, 2020. "New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order," Mathematics, MDPI, vol. 8(4), pages 1-11, April.

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