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Oscillation of Neutral Differential Equations with Damping Terms

Author

Listed:
  • Ioannis Dassios

    (FRESLIPS, University College Dublin, D04 V1W8 Dublin, Ireland)

  • Ali Muhib

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    Department of Mathematics, Faculty of Education—Al-Nadirah, Ibb University, Ibb 70270, Yemen)

  • Sobhy A. A. El-Marouf

    (Department of Mathematics, Faculty of Science, Taibah University, Madinah 42353, Saudi Arabia
    Department of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shebin Elkom 32511, Egypt)

  • Sayed K. Elagan

    (Department of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shebin Elkom 32511, Egypt
    Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

Abstract

Our interest in this paper is to study and develop oscillation conditions for solutions of a class of neutral differential equations with damping terms. New oscillation criteria were obtained by using Riccati transforms. The criteria we obtained improved and completed some of the criteria in previous studies mentioned in the literature. Examples are provided to illustrate the applicability of our results.

Suggested Citation

  • Ioannis Dassios & Ali Muhib & Sobhy A. A. El-Marouf & Sayed K. Elagan, 2023. "Oscillation of Neutral Differential Equations with Damping Terms," Mathematics, MDPI, vol. 11(2), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:447-:d:1035697
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    References listed on IDEAS

    as
    1. Osama Moaaz & Ioannis Dassios & Omar Bazighifan & Ali Muhib, 2020. "Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    2. Moaaz, Osama & Muhib, Ali, 2020. "New oscillation criteria for nonlinear delay differential equations of fourth-order," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    3. 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.
    4. Omar Bazighifan, 2020. "Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-7, October.
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