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

被引：0

作者：

Essam, Amira ^{[1
]}

Moaaz, Osama ^{[2
,3
]}

Ramadan, Moutaz ^{[1
]}

AlNemer, Ghada ^{[4
]}

Hanafy, Ibrahim M. ^{[1
]}

机构：

[1] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said 42511, Egypt

[2] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[4] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 105862, Riyadh 11656, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 12期

关键词：

functional differential equations; third-order; monotonic properties of the positive solutions; canonical case; STABILITY ANALYSIS; BEHAVIOR; SYSTEMS;

D O I：

10.3390/axioms12121086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：22

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