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Oscillatory solutions of fourth order advanced trinomial differential equations

Author

Listed:
  • Jozef Dzurina
  • Blanka Baculikova
  • Irena Jadlovska

Abstract

The paper deals with the oscillatory behavior of the fourth‐order linear three‐terms advanced differential equation of the form y(4)(t)+p(t)y′(t)+q(t)y(σ(t))=0.Assuming that all solutions of the auxiliary third‐order differential equation z′′′(t)+p(t)z(t)=0are nonoscillatory, two types of easily verifiable oscillation criteria for the studied equation are established. The obtained results are illustrated by two examples.

Suggested Citation

  • Jozef Dzurina & Blanka Baculikova & Irena Jadlovska, 2020. "Oscillatory solutions of fourth order advanced trinomial differential equations," Mathematische Nachrichten, Wiley Blackwell, vol. 293(6), pages 1110-1119, June.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:6:p:1110-1119
    DOI: 10.1002/mana.201800515
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    References listed on IDEAS

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    1. Chengmin Hou & Sui Sun Cheng, 2009. "Asymptotic Dichotomy in a Class of Fourth‐Order Nonlinear Delay Differential Equations with Damping," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    2. Agarwal, Ravi P. & Bohner, Martin & Li, Tongxing & Zhang, Chenghui, 2015. "Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 481-490.
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