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Improved Conditions for Oscillation of Functional Nonlinear Differential Equations

Author

Listed:
  • Omar Bazighifan

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

  • Mihai Postolache

    (Center for General Education, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
    Romanian Academy, Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania
    These authors contributed equally to this work.)

Abstract

The aim of this work is to study oscillatory properties of a class of fourth-order delay differential equations. New oscillation criteria are obtained by using generalized Riccati transformations. This new theorem complements and improves a number of results reported in the literature. Some examples are provided to illustrate the main results.

Suggested Citation

  • Omar Bazighifan & Mihai Postolache, 2020. "Improved Conditions for Oscillation of Functional Nonlinear Differential Equations," Mathematics, MDPI, vol. 8(4), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:552-:d:343558
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    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

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