New Conditions for Testing the Oscillation of Fourth-Order Differential Equations with Several Delays

被引：3
|
作者：
Muhib, Ali [1 ,2 ]
Moaaz, Osama [1 ,3 ]
Cesarano, Clemente [3 ]
Askar, Sameh S. [4 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Ibb Univ, Fac Educ Al Nadirah, Dept Math, POB 70270, Ibb, Yemen
[3] Int Telemat Univ Uninettuno, Sect Math, CorsoVittorio 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：
SYMMETRY-BASEL | 2022年 / 14卷 / 05期
关键词：
Riccati transformation; neutral differential equations; oscillation theorems; BEHAVIOR;
D O I：
10.3390/sym14051068
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we establish oscillation theorems for all solutions to fourth-order neutral differential equations using the Riccati transformation approach and some inequalities. Some new criteria are established that can be used in cases where known theorems fail to apply. The approach followed depends on finding conditions that guarantee the exclusion of positive solutions, and as a result of the symmetry between the positive and negative solutions of the studied equation, we therefore exclude negative solutions. An illustrative example is given.
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收藏
页数：12
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