On the Monotonic and Asymptotic Properties of Positive Solutions to Third-Order Neutral Differential Equations and Their Effect on Oscillation Criteria-Reference-Cited by-同舟云学术

On the Monotonic and Asymptotic Properties of Positive Solutions to Third-Order Neutral Differential Equations and Their Effect on Oscillation Criteria

Published:2023-11-28 Issue:12 Volume:12 Page:1086
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Essam Amira¹,Moaaz Osama²³^ORCID,Ramadan Moutaz¹,AlNemer Ghada⁴^ORCID,Hanafy Ibrahim M.¹

Affiliation:

1. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42511, Egypt

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 Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi Arabia

Abstract

The monotonic properties of positive solutions to functional differential equations of the third order are examined in this paper. It is generally known that by optimizing the relationships between a solution and its corresponding function, as well as its derivatives, one can improve the oscillation criterion for neutral differential equations. Based on this, we obtain new relationships and inequalities and test their effect on the oscillation parameters of the studied equation. To obtain the oscillation parameters, we used Riccati techniques and comparison with lower-order equations. Finally, the progress achieved in oscillation theory for third-order equations was measured by comparing our results with previous relevant results.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/12/1086/pdf

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