Mathematics (Apr 2024)

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

  • Mohamed Mazen,
  • Mohamed M. A. El-Sheikh,
  • Samah Euat Tallah,
  • Gamal A. F. Ismail

DOI
https://doi.org/10.3390/math12071096
Journal volume & issue
Vol. 12, no. 7
p. 1096

Abstract

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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.

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