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New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications

Author

Listed:
  • Ali Muhib

    (Department of Mathematics, Faculty of Education—Al-Nadirah, Ibb University, Ibb P.O. Box 70270, Yemen)

  • 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)

  • Clemente Cesarano

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

  • Shami A. M. Alsallami

    (Department of Mathematical Sciences, College of Applied Science, Umm Al-Qura University, Makkah 21955, Saudi Arabia)

  • Sayed Abdel-Khalek

    (Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

  • Abd Elmotaleb A. M. A. Elamin

    (Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail 11942, Saudi Arabia)

Abstract

In this work, new criteria were established for testing the oscillatory behavior of solutions of a class of even-order delay differential equations. We follow an approach that depends on obtaining new monotonic properties for the decreasing positive solutions of the studied equation. Moreover, we use these properties to provide new oscillation criteria of an iterative nature. We provide an example to support the significance of the results and compare them with the related previous work.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1786-:d:822298
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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. 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.
    3. Osama Moaaz & Rami Ahmad El-Nabulsi & Ali Muhib & Sayed K. Elagan & Mohammed Zakarya, 2021. "New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations," Mathematics, MDPI, vol. 9(19), pages 1-12, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Barakah Almarri & Osama Moaaz, 2023. "Improved Properties of Positive Solutions of Higher Order Differential Equations and Their Applications in Oscillation Theory," Mathematics, MDPI, vol. 11(4), pages 1-14, February.
    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.
    3. Ghada AlNemer & Waed Muhsin & Osama Moaaz & Elmetwally M. Elabbasy, 2023. "On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order," Mathematics, MDPI, vol. 11(6), pages 1-12, March.

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    1. Osama Moaaz & Jan Awrejcewicz & Ali Muhib, 2020. "Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations," Mathematics, MDPI, vol. 8(6), pages 1-15, June.
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