Mathematics (Nov 2024)

Differential Equations of Fourth-Order with <i>p</i>-Laplacian-like Operator: Oscillation Theorems

  • Omar Bazighifan,
  • Nawa Alshammari,
  • Khalil S. Al-Ghafri,
  • Loredana Florentina Iambor

DOI
https://doi.org/10.3390/math12223558
Journal volume & issue
Vol. 12, no. 22
p. 3558

Abstract

Read online

In this work, we find new oscillation criteria for fourth-order advanced differential equations with a p-Laplace-type operator. We established our results through a comparison method with integral averaging and Riccati techniques to obtain new oscillatory properties for the considered equation. Our criteria substantially simplify and complement a number of existing ones. We give some examples to illustrate the significance of the obtained results.

Keywords