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New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order

Author

Listed:
  • Osama Moaaz

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

  • Dumitru Baleanu

    (Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Çankaya University Ankara, 06790 Etimesgut, Turkey
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    These authors contributed equally to this work.)

  • Ali Muhib

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Department of Mathematics, Faculty of Education, Al-Nadirah, Ibb University, PO Box 70270 Ibb, Yemen
    These authors contributed equally to this work.)

Abstract

Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via example.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:494-:d:340298
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    References listed on IDEAS

    as
    1. Moaaz, Osama & Muhib, Ali, 2020. "New oscillation criteria for nonlinear delay differential equations of fourth-order," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    2. Tongxing Li & Yuriy V. Rogovchenko, 2014. "Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
    3. 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.
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    Citations

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    Cited by:

    1. Osama Moaaz & Yousef Alnafisah, 2023. "An Improved Approach to Investigate the Oscillatory Properties of Third-Order Neutral Differential Equations," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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