On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order

被引：2

作者：

AlNemer, Ghada ^{[1
]}

Muhsin, Waed ^{[2
]}

Moaaz, Osama ^{[3
,4
]}

Elabbasy, Elmetwally M. ^{[4
]}

机构：

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

[2] Univ Tripoli, Fac Sci, Dept Math, Tripoli 13275, Libya

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

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

来源：

MATHEMATICS | 2023年 / 11卷 / 06期

关键词：

differential equations of even order; decreasing positive solutions; oscillatory behavior; non-canonical; OSCILLATION;

D O I：

10.3390/math11061282

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include oscillation, convergence, etc.; therefore, we take care of finding sufficient conditions to exclude these solutions. In addition, we present new criteria for testing the oscillation of the studied equation.

引用

页数：12

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