Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation

被引：12
|
作者：
Moaaz, Osama [1 ]
Muhib, Ali [1 ,2 ]
Owyed, Saud [3 ]
Mahmoud, Emad E. [4 ,5 ]
Abdelnaser, Aml [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Ibb Univ, Fac Educ Al Nadirah, Dept Math, Ibb, Yemen
[3] Univ Bisha, Coll Sci, Dept Math, POB 344, Bisha 61922, Saudi Arabia
[4] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, At Taif 21944, Saudi Arabia
[5] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
D O I：
10.1155/2021/6665103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation (r (l) (u' (l))gamma)' + q (l)x(beta) (sigma (l)) = 0, where l >= l(0) and u (l) = x (l) + px (rho(l)). By optimizing the commonly used relationship x > (1 - p)u, we obtain new criteria that give sharper results for oscillation than the previous related results. Moreover, we obtain criteria of an iterative nature. Our new results are illustrated by an example.
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页数：7
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