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Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales

Author

Listed:
  • Zhiyu Zhang

    (Department of Mathematics, Taiyuan Institute of Technology, Taiyuan 030008, China
    These authors contributed equally to this work.)

  • Ruihua Feng

    (Department of Mathematics, North University of China, Taiyuan 030051, China
    These authors contributed equally to this work.)

  • Irena Jadlovská

    (Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, 040 01 Košice, Slovakia
    These authors contributed equally to this work.)

  • Qingmin Liu

    (School of Control Science and Engineering, Shandong University, Jinan 250061, China
    These authors contributed equally to this work.)

Abstract

Under a couple of canonical and mixed canonical-noncanonical conditions, we investigate the oscillation and asymptotic behavior of solutions to a class of third-order nonlinear neutral dynamic equations with mixed deviating arguments on time scales. By means of the double Riccati transformation and the inequality technique, new oscillation criteria are established, which improve and generalize related results in the literature. Several examples are given to illustrate the main results.

Suggested Citation

  • Zhiyu Zhang & Ruihua Feng & Irena Jadlovská & Qingmin Liu, 2021. "Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales," Mathematics, MDPI, vol. 9(5), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:552-:d:511387
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    References listed on IDEAS

    as
    1. Tongxing Li & Yuriy V. Rogovchenko, 2014. "Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
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