A Study of the Monotonic Properties of Solutions of Neutral Differential Equations and Their Applications

被引：2

作者：

Moaaz, Osama ^{[1
,2
]}

Alhgilan, Abtehal E. ^{[1
]}

机构：

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

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

来源：

AXIOMS | 2023年 / 12卷 / 04期

关键词：

delay differential equation; neutral delay; monotonic properties; oscillation; OSCILLATORY BEHAVIOR; CRITERIA;

D O I：

10.3390/axioms12040346

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely control the study of the oscillation and asymptotic behaviour of the solutions to delay differential equations. Then, by using the new properties, we create improved criteria for testing the oscillation of solutions to the studied equation. We also find new criteria that can be applied more than once. Moreover, we discuss the importance and novelty of the results through the application to a special case of the studied equation.

引用

页数：11

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