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Some Oscillation Criteria for a Class of Third‐Order Delay Differential Equations

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  • Miao Wang
  • Lifei Dong

Abstract

In this paper, we study oscillatory properties of solutions to a class of third‐order differential equation atrtx′t′α′+ptrtx′t′α+qtfxσt=0, where f(x)/xβ ≥ k > 0 and α and β are quotients of odd positive integers. By using the generalized Riccati technique, we obtain some oscillation and asymptotic criteria when α ≥ β and α

Suggested Citation

  • Miao Wang & Lifei Dong, 2022. "Some Oscillation Criteria for a Class of Third‐Order Delay Differential Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:9347942
    DOI: 10.1155/2022/9347942
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    References listed on IDEAS

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    1. Jozef Džurina & Said R. Grace & Irena Jadlovská & Tongxing Li, 2020. "Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term," Mathematische Nachrichten, Wiley Blackwell, vol. 293(5), pages 910-922, May.
    2. Kuo‐Shou Chiu & Tongxing Li, 2019. "Oscillatory and periodic solutions of differential equations with piecewise constant generalized mixed arguments," Mathematische Nachrichten, Wiley Blackwell, vol. 292(10), pages 2153-2164, October.
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