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Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation

Author

Listed:
  • Meraa Arab

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi Arabia)

  • Hajer Zaway

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi Arabia)

  • Ali Muhib

    (Department of Mathematics, Faculty of Applied and Educational Sciences—Al-Nadera, Ibb University, Ibb 72072, Yemen
    Jadara Research Center, Jadara University, Irbid 21110, Jordan)

  • Sayed K. Elagan

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

Abstract

This paper aims to study the oscillatory behavior of second-order neutral differential equations. Using the Riccati substitution technique, we introduce new oscillation criteria that essentially improve some related criteria from the literature. We provide some examples and compare the results in this paper with earlier results to illustrate the importance of our results.

Suggested Citation

  • Meraa Arab & Hajer Zaway & Ali Muhib & Sayed K. Elagan, 2025. "Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation," Mathematics, MDPI, vol. 13(6), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:6:p:903-:d:1607909
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