Neutral Differential Equations of Fourth-Order: New Asymptotic Properties of Solutions

被引：8
|
作者：
Muhib, Ali [1 ,2 ]
Moaaz, Osama [1 ,3 ]
Cesarano, Clemente [3 ]
Askar, Sameh [4 ]
Elabbasy, Elmetwally M. [1 ]
机构：
[1] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
[2] Ibb Univ, Dept Math, Fac Educ Al Nadirah, Ibb 70270, Yemen
[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
[4] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
来源：
AXIOMS | 2022年 / 11卷 / 02期
关键词：
fourth-order; neutral differential equations; oscillatory behavior of solutions; OSCILLATION CRITERIA;
D O I：
10.3390/axioms11020052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we will derive new asymptotic properties of the positive solutions of the fourth-order neutral differential equation with the non-canonical factor. We follow an improved approach that enables us to create oscillation criteria of an iterative nature that can be applied more than once to test oscillation. In light of this, we will use these properties to obtain new criteria for the oscillation of the solutions of the studied equation. An example is given to show the applicability of the main results.
引用
收藏
页数：11
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