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New Monotonic Properties of the Class of Positive Solutions of Even-Order Neutral Differential Equations

Author

Listed:
  • Barakah Almarri

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Higinio Ramos

    (Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, 37008 Salamanca, Spain
    Escuela Politécnica Superior de Zamora, Avda. Requejo 33, 49029 Zamora, Spain)

  • Osama Moaaz

    (Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

In this study, new asymptotic properties of positive solutions of the even-order neutral delay differential equation with the noncanonical operator are established. The new properties are of an iterative nature, which allows it to be applied several times. Using these properties, we obtain new criteria to exclude a class from the positive solutions of the studied equation, using the comparison principles.

Suggested Citation

  • Barakah Almarri & Higinio Ramos & Osama Moaaz, 2022. "New Monotonic Properties of the Class of Positive Solutions of Even-Order Neutral Differential Equations," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1470-:d:803489
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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. Osama Moaaz & Jan Awrejcewicz & Omar Bazighifan, 2020. "A New Approach in the Study of Oscillation Criteria of Even-Order Neutral Differential Equations," Mathematics, MDPI, vol. 8(2), pages 1-8, February.
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    Citations

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    Cited by:

    1. Ali Muhib & Osama Moaaz & Clemente Cesarano & Shami A. M. Alsallami & Sayed Abdel-Khalek & Abd Elmotaleb A. M. A. Elamin, 2022. "New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications," Mathematics, MDPI, vol. 10(10), pages 1-12, May.
    2. Osama Moaaz & Clemente Cesarano & Barakah Almarri, 2023. "An Improved Relationship between the Solution and Its Corresponding Function in Fourth-Order Neutral Differential Equations and Its Applications," Mathematics, MDPI, vol. 11(7), pages 1-14, April.

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