Asymptotic and Oscillatory Analysis of Second-Order Differential Equations with Distributed Deviating Arguments

被引：2
|
作者：
Alqahtani, Zuhur [1 ]
Qaraad, Belgees [2 ]
Almuneef, Areej [1 ]
Ramos, Higinio [3 ,4 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] Univ Salamanca, Sci Comp Grp, Plaza Merced, Salamanca 37008, Spain
[4] Escuela Politecn Super Zamora, Dept Math, Campus Viriato, Zamora 49022, Spain
来源：
MATHEMATICS | 2024年 / 12卷 / 22期
关键词：
second-order differential equation; oscillation; nonoscillation; advanced; distributed deviating arguments; CRITERIA; THEOREMS;
D O I：
10.3390/math12223542
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper focuses on studying the oscillatory properties of a distinctive class of second-order advanced differential equations with distributed deviating arguments in a noncanonical case. Utilizing the Riccati method and the comparison method with first-order equations, in addition to other analytical methods, we have established criteria to test whether the solutions of the studied equation exhibit oscillatory behavior. To verify the validity of the results we obtained and determine their applicability, we present some examples to confirm the strength and accuracy of our proposed criteria.
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页数：19
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