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Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order

Author

Listed:
  • Maryam Al-Kandari

    (Department of Mathematics, Faculty of Science, Kuwait University, P.O. Box 5969, Safat, Kuwait City 13060, Kuwait)

Abstract

In this research, we applied three techniques—the comparison technique, the Riccati technique, and the integral averages technique to analyze and establish various conditions and properties associated with the oscillatory behavior of even-order neutral differential equations. These findings contribute to a better understanding of the dynamics of such equations. To demonstrate the efficacy of these new conditions and properties, we present illustrative examples. This study offers valuable insights into the behavior of neutral differential equations, advancing our knowledge in this field.

Suggested Citation

  • Maryam Al-Kandari, 2023. "Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order," Mathematics, MDPI, vol. 11(24), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4909-:d:1296921
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    References listed on IDEAS

    as
    1. Rongrong Guo & Qingdao Huang & Qingmin Liu, 2021. "Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    2. Agarwal, Ravi P. & Zhang, Chenghui & Li, Tongxing, 2016. "Some remarks on oscillation of second order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 178-181.
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