2024
DOI: 10.3390/math12223558
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Differential Equations of Fourth-Order with p-Laplacian-like Operator: Oscillation Theorems

Omar Bazighifan,
Nawa Alshammari,
Khalil S. Al-Ghafri
et al.

Abstract: 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.

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