Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order

被引：23

作者：

Moaaz, Osama ^{[1
]}

Dassios, Ioannis ^{[2
]}

Muhsin, Waad ^{[1
]}

Muhib, Ali ^{[1
,3
]}

机构：

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

[2] Univ Coll Dublin, AMPSAS, Dublin D4, Ireland

[3] Ibb Univ, Fac Educ Al Nadirah, Dept Math, Ibb, Yemen

来源：

APPLIED SCIENCES-BASEL | 2020年 / 10卷 / 14期

基金：

爱尔兰科学基金会;

关键词：

third-order differential equations; kneser solution; differential inequalities; neutral; delays; non-linear; oscillation criteria; STABILITY ANALYSIS; ASYMPTOTIC-BEHAVIOR; SYSTEMS;

D O I：

10.3390/app10144855

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. We then use these results to provide criteria for the under study differential equations to ensure that all its solutions are oscillatory. An example is given that illustrates our theory.

引用

页数：16

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