New Comparison Theorems to Investigate the Asymptotic Behavior of Even-Order Neutral Differential Equations-Reference-Cited by-同舟云学术

New Comparison Theorems to Investigate the Asymptotic Behavior of Even-Order Neutral Differential Equations

Published:2023-05-22 Issue:5 Volume:15 Page:1126
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Almarri Barakah¹^ORCID,Moaaz Osama²³^ORCID,Abouelregal Ahmed⁴^ORCID,Essam Amira⁵

Affiliation:

1. Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

4. Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 77455, Saudi Arabia

5. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42524, Egypt

Abstract

Based on a comparison with first-order equations, we obtain new criteria for investigating the asymptotic behavior of a class of differential equations with neutral arguments. In this work, we consider the non-canonical case for an even-order equation. We concentrate on the requirements for excluding positive solutions, as the method used considers the symmetry between the positive and negative solutions of the studied equation. The results obtained do not require some restrictions that were necessary to apply previous relevant results in the literature.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/5/1126/pdf

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4. Agarwal, R.P., Grace, S.R., and O’Regan, D. (2000). Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic.

5. Dassios, I., Bazighifan, O., and Moaaz, O. (2021). Differential/Difference Equations: Mathematical Modeling, Oscillation and Applications, MDPI.

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