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Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term

Author

Listed:
  • Rongrong Guo

    (Mathematics College, Jilin University, Changchun 130012, China
    These authors contributed equally to this work.)

  • Qingdao Huang

    (Mathematics College, Jilin University, Changchun 130012, China
    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

The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential equations. Comparing our results with those in the literature, our criteria solve more general delay differential equations with neutral type, and our results expand the range of neutral term coefficient. Some examples are given to illustrate our conclusions.

Suggested Citation

  • Rongrong Guo & Qingdao Huang & Qingmin Liu, 2021. "Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2074-:d:623254
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    References listed on IDEAS

    as
    1. Tongxing Li & Yuriy V. Rogovchenko, 2015. "Oscillation of second-order neutral differential equations," Mathematische Nachrichten, Wiley Blackwell, vol. 288(10), pages 1150-1162, July.
    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.
    3. Agarwal, Ravi P. & Zhang, Chenghui & Li, Tongxing, 2016. "Some remarks on oscillation of second order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 178-181.
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    Cited by:

    1. Maryam Al-Kandari, 2023. "Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order," Mathematics, MDPI, vol. 11(24), pages 1-9, December.

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