Fourth-Order Differential Equations: Asymptotic andOscillatory Behaviors of Solutions
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5591Keywords:
Asymptotic behavior, p-Laplacian, fourth-order, delay di§erential equationsAbstract
Our aim in this work is to derive conditions and criteria for the oscillation of some differential equations of p-Laplace type with a delayed term. Therefore, we develop these criteria that confirm to us that the equations studied are oscillatory by applying comparison with lower-order equations and Riccati techniques . Finally, we can elucidate the meaning of the new inequalities
by applying our findings to a few particular cases of the studied equation. Our findings build on earlier findings that looked at equations with a delay term and operators of the p-Laplace type. To demonstrate the importance of the acquired results, we provide an example.
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Copyright (c) 2025 Alanoud Almutairi
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