New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order

被引：3

作者：

Nabih, Amany ^{[1
,2
]}

Moaaz, Osama ^{[1
,3
]}

AlNemer, Ghada ^{[4
]}

Elabbasy, Elmetwally M. ^{[1
]}

机构：

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

[2] Higher Future Inst Engn & Technol Mansoura, Dept Basic Sci, Mansoura 35516, Egypt

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

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

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

oscillation; differential equation; neutral delay; noncanonical case; CRITERIA;

D O I：

10.3390/axioms12020219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that all solutions to the examined equation oscillate. The importance of applying the results to a special case of the investigated equation is demonstrated.

引用

页数：16

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