Criteria for Oscillation of Half-Linear Functional Differential Equations of Second-Order

被引：1

作者：

Almarri, Barakah ^{[1
]}

Moaaz, Osama ^{[2
,3
]}

Muhib, Ali ^{[3
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

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

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

来源：

AXIOMS | 2022年 / 11卷 / 12期

关键词：

second-order; delay differential equations; oscillation; non-canonical case;

D O I：

10.3390/axioms11120719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present article aims to establish more effective criteria for testing the oscillation of a class of functional differential equations with delay arguments. In the non-canonical case, we deduce some improved monotonic and asymptotic properties of the class of decreasing positive solutions of the studied equation. Depending on both the new properties and the linear representation of the studied equation, we obtain new oscillation criteria. Moreover, we test the effectiveness of the new criteria by applying them to some special cases of the studied equation.

引用

页数：11

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