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Oscillatory Solutions to Neutral Delay Differential Equations

Author

Listed:
  • Fahad Alsharari

    (Department of Mathematics, College of Science and Human Studies, Hotat Sudair, Majmaah University, Majmaah 11952, Saudi Arabia
    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.)

  • Taher A. Nofal

    (Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
    These authors contributed equally to this work.)

  • Khaled Mohamed Khedher

    (Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
    Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, Tunisia
    These authors contributed equally to this work.)

  • Youssef N. Raffoul

    (Department of Mathematics, University of Dayton, 300 College Park, Dayton, OH 45469, USA
    These authors contributed equally to this work.)

Abstract

This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β 1 ı Φ α [ ζ r − 1 ı ] ′ + β 3 ı Φ α [ ς ξ ı ] = 0 . The obtained results extend, and simplify known conditions in the literature. The results are illustrated with examples.

Suggested Citation

  • Fahad Alsharari & Omar Bazighifan & Taher A. Nofal & Khaled Mohamed Khedher & Youssef N. Raffoul, 2021. "Oscillatory Solutions to Neutral Delay Differential Equations," Mathematics, MDPI, vol. 9(7), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:714-:d:524101
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    Keywords

    oscillation; even-order;

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