New Oscillation Conditions Test for Neutral Differential Equations

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
Nawa Alshammari Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia https://orcid.org/0000-0003-2382-6553 (unauthenticated)
Loredana Florentina Iambor Department of Mathematics and Computer Science, University of Oradea, University Street, 410087, Oradea, Romania https://orcid.org/0000-0001-8845-3095 (unauthenticated)

DOI:

https://doi.org/10.37256/cm.5420245428

Keywords:

Oscillation conditions, second-order, delay differential equations

Abstract

In this work, we investigate new oscillation conditions of delay differential equations of second-order. We start by finding new relations and inequalities between the corresponding function and its solution, also with its derivatives. The new inequalities allow us to improve the asymptotic and oscillation conditions of the solutions of the this equation. By using an improved method and approach, we obtain new criteria that test the all solutions oscillation. The article provides some examples that highlight the significance of new conditions and properties.

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Published

2024-11-13

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.

How to Cite

New Oscillation Conditions Test for Neutral Differential Equations. Contemp. Math. [Internet]. 2024 Nov. 13 [cited 2025 Dec. 24];5(4):5027-35. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5428

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