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An Improved Criterion for the Oscillation of Fourth-Order 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)

  • Marianna Ruggieri

    (Faculty of Engineering and Architecture, University of Enna “Kore”, 94100 Enna, Italy)

  • Andrea Scapellato

    (Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy)

Abstract

The main purpose of this manuscript is to show asymptotic properties of a class of differential equations with variable coefficients r ν w ‴ ν β ′ + ∑ i = 1 j q i ν y κ g i ν = 0 , where ν ≥ ν 0 and w ν : = y ν + p ν y σ ν . By using integral averaging technique, we get conditions to ensure oscillation of solutions of this equation. The obtained results improve and generalize the earlier ones; finally an example is given to illustrate the criteria.

Suggested Citation

  • Omar Bazighifan & Marianna Ruggieri & Andrea Scapellato, 2020. "An Improved Criterion for the Oscillation of Fourth-Order Differential Equations," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:610-:d:346234
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    Cited by:

    1. Shyam Sundar Santra & Abhay Kumar Sethi & Osama Moaaz & Khaled Mohamed Khedher & Shao-Wen Yao, 2021. "New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation," Mathematics, MDPI, vol. 9(10), pages 1-11, May.

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