New oscillation criteria for differential equations with sublinear and superlinear neutral terms

被引：5
|
作者：
Muhib, Ali [1 ,2 ]
Elabbasy, Elmetwally M. [1 ]
Moaaz, Osama [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt
[2] Ibb Univ, Fac Educ Al Nadirah, Dept Math, Ibb, Yemen
来源：
TURKISH JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 02期
关键词：
Sublinear and superlinear neutral terms; even-order differential equations; oscillation criteria; BEHAVIOR;
D O I：
10.3906/mat-2012-11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this article is to establish some new oscillation criteria for the differential equation of even-order of the form (r (l) (y((n-1)) (l))(alpha))' + f (l, x(tau(l))) = 0, where y (l) = x (l) + p (l) x(beta) (sigma(1) (l)) + h (l) x(delta) (tau (l)). By using Riccati transformations, we present new conditions for oscillation of the studied equation. Furthermore, two illustrative examples showing applicability of the new results are included.
引用
收藏
页码：919 / 928
页数：10
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