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On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term

Author

Listed:
  • Mohamed Mazen

    (Department of Mathematics, University College for Women, Ain Shams University, Cairo 11566, Egypt)

  • Mohamed M. A. El-Sheikh

    (Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt)

  • Samah Euat Tallah

    (Department of Basic Science, Higher Institute of Foreign Trade & Management Science, Cairo 11765, Egypt)

  • Gamal A. F. Ismail

    (Department of Mathematics, University College for Women, Ain Shams University, Cairo 11566, Egypt)

Abstract

In this paper, we discuss the oscillatory behavior of solutions of two general classes of nonlinear second-order differential equations. New criteria are obtained using Riccati transformations and the integral averaging techniques. The obtained results improve and generalize some recent criteria in the literature. Moreover, a traditional condition is relaxed. Three examples are given to justify the results.

Suggested Citation

  • Mohamed Mazen & Mohamed M. A. El-Sheikh & Samah Euat Tallah & Gamal A. F. Ismail, 2024. "On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term," Mathematics, MDPI, vol. 12(7), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1096-:d:1370709
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