Even-Order Delay Differential Equations with p-Laplacian Like Operator: New Oscillation Criteria

Authors

Omar Bazighifan Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout, Yemen https://orcid.org/0000-0002-7251-9608
Anwar Al-Batati Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout, Yemen
Khalil S. Al-Ghafri University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman https://orcid.org/0000-0002-4392-0742
Loredana Florentina Iambor 2Department of Mathematics and Computer Science, University of Oradea, University Street, 410087, Oradea, Romania https://orcid.org/0000-0001-8845-3095

DOI:

https://doi.org/10.37256/cm.5420245426

Keywords:

differential equations, oscillation criteria, p-Laplacian operator, even-order

Abstract

As a pivotal branch within the realm of differential equations, the theory of oscillation holds a crucial position in the exploration of natural sciences and the construction of modern control theory Frameworks. In this manuscript, we obtain some oscillatory properties for the noncanonical even-order differential equation with a p-Laplacian-like operator by using comparison with first-order differential inequality. Some examples are discussed to illustrate the effectiveness of our main results.

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Published

2024-12-23

Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.