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On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations

Author

Listed:
  • Irena Jadlovská

    (Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 04001 Košice, Slovakia)

  • George E. Chatzarakis

    (Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE) Marousi, 15122 Athens, Greece)

  • Jozef Džurina

    (Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 04200 Košice, Slovakia)

  • Said R. Grace

    (Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt)

Abstract

In this paper, effective oscillation criteria for third-order delay differential equations of the form, r 2 r 1 y ′ ′ ′ ( t ) + q ( t ) y ( τ ( t ) ) = 0 ensuring that any nonoscillatory solution tends to zero asymptotically, are established. The results become sharp when applied to a Euler-type delay differential equation and, to the best of our knowledge, improve all existing results from the literature. Examples are provided to illustrate the importance of the main results.

Suggested Citation

  • Irena Jadlovská & George E. Chatzarakis & Jozef Džurina & Said R. Grace, 2021. "On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations," Mathematics, MDPI, vol. 9(14), pages 1-18, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1675-:d:595891
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    Cited by:

    1. Osama Moaaz & Yousef Alnafisah, 2023. "An Improved Approach to Investigate the Oscillatory Properties of Third-Order Neutral Differential Equations," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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