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Oscillatory Properties of Third-Order Neutral Delay Differential Equations with Noncanonical Operators

Author

Listed:
  • George E. Chatzarakis

    (Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121 Athens, Greece)

  • Jozef Džurina

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

  • Irena Jadlovská

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

Abstract

In the paper, we study the oscillatory and asymptotic properties of solutions to a class of third-order linear neutral delay differential equations with noncanonical operators. Via the application of comparison principles with associated first and second-order delay differential inequalities, we offer new criteria for the oscillation of all solutions to a given differential equation. Our technique essentially simplifies the process of investigation and reduces the number of conditions required in previously known results. The strength of the newly obtained results is illustrated on the Euler type equations.

Suggested Citation

  • George E. Chatzarakis & Jozef Džurina & Irena Jadlovská, 2019. "Oscillatory Properties of Third-Order Neutral Delay Differential Equations with Noncanonical Operators," Mathematics, MDPI, vol. 7(12), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1177-:d:293636
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    References listed on IDEAS

    as
    1. Grace, Said R. & Jadlovská, Irena & Zafer, Agacik, 2019. "On oscillation of third-order noncanonical delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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