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Oscillation of third-order nonlinear damped delay differential equations

Author

Listed:
  • Bohner, Martin
  • Grace, Said R.
  • Sağer, Ilgin
  • Tunç, Ercan

Abstract

This paper is concerned with the oscillation of certain third-order nonlinear delay differential equations with damping. We give new characterizations of oscillation of the third-order equation in terms of oscillation of a related, well-studied, second-order linear differential equation without damping. We also establish new oscillation results for the third-order equation by using the integral averaging technique due to Philos. Numerous examples are given throughout.

Suggested Citation

  • Bohner, Martin & Grace, Said R. & Sağer, Ilgin & Tunç, Ercan, 2016. "Oscillation of third-order nonlinear damped delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 278(C), pages 21-32.
    • Handle: RePEc:eee:apmaco:v:278:y:2016:i:c:p:21-32
    DOI: 10.1016/j.amc.2015.12.036
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    Cited by:

    1. Mansour Alatwi & Osama Moaaz & Wedad Albalawi & Fahd Masood & Hamdy El-Metwally, 2024. "Asymptotic and Oscillatory Analysis of Fourth-Order Nonlinear Differential Equations with p -Laplacian-like Operators and Neutral Delay Arguments," Mathematics, MDPI, vol. 12(3), pages 1-23, February.

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