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A New Approach in the Study of Oscillation Criteria of Even-Order Neutral Differential Equations

Author

Listed:
  • Osama Moaaz

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
    These authors contributed equally to this work.)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland
    These authors contributed equally to this work.)

  • Omar Bazighifan

    (Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
    These authors contributed equally to this work.)

Abstract

Based on the comparison with first-order delay equations, we establish a new oscillation criterion for a class of even-order neutral differential equations. Our new criterion improves a number of existing ones. An illustrative example is provided.

Suggested Citation

  • Osama Moaaz & Jan Awrejcewicz & Omar Bazighifan, 2020. "A New Approach in the Study of Oscillation Criteria of Even-Order Neutral Differential Equations," Mathematics, MDPI, vol. 8(2), pages 1-8, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:197-:d:316904
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    References listed on IDEAS

    as
    1. Zhenlai Han & Tongxing Li & Chenghui Zhang & Ying Sun, 2011. "Oscillation Criteria for Certain Second-Order Nonlinear Neutral Differential Equations of Mixed Type," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-9, March.
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    Cited by:

    1. Jihong Pang & Jinkun Dai & Yong Li, 2022. "An Intelligent Fault Analysis and Diagnosis System for Electromagnet Manufacturing Process Based on Fuzzy Fault Tree and Evidence Theory," Mathematics, MDPI, vol. 10(9), pages 1-18, April.
    2. Barakah Almarri & Higinio Ramos & Osama Moaaz, 2022. "New Monotonic Properties of the Class of Positive Solutions of Even-Order Neutral Differential Equations," Mathematics, MDPI, vol. 10(9), pages 1-13, April.

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