Oscillation of higher-order canonical delay differential equations: comparison theorems

被引：3

作者：

Salah, Hend ^{[1
]}

Moaaz, Osama ^{[2
,3
]}

Cesarano, Clemente ^{[4
]}

Elabbasy, Elmetwally M. ^{[3
]}

机构：

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

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

[3] Mansoura Univ, Mansoura 35516, Egypt

[4] Int Telematic Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 2 39, I-00186 Rome, Italy

来源：

PHYSICA SCRIPTA | 2023年 / 98卷 / 02期

关键词：

neutral differential equations; oscillation; comparison theorems; CRITERIA;

D O I：

10.1088/1402-4896/acb17f

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we study the oscillatory properties of a higher-order neutral delay differential equation. By using the principle of comparison with equations of the first order we establish a set of new oscillation criteria for this equation under the canonical condition. Furthermore, the new criteria extend and complement some previous results in the literature. To that end, we compare these criteria by applying them to special cases of the equations under consideration in order to determine which one is the most efficient and least restrictive.

引用

页数：12

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