Delay Differential Equations with Several Sublinear Neutral Terms: Investigation of Oscillatory Behavior

被引：2

作者：

Muhsin, Waed ^{[1
]}

Moaaz, Osama ^{[1
,2
]}

Askar, Sameh S. ^{[3
]}

Alshamrani, Ahmad M. ^{[3
]}

Elabbasy, Elmetwally M. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[2] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

[3] King Saud Univ, Dept Stat & Operat Res, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 12期

关键词：

functional differential equation; second order; several sublinear neutral terms; oscillatory behavior; Riccati approach; comparison principles; CRITERIA;

D O I：

10.3390/sym15122105

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 work, new oscillation criteria are established for a second-order differential equation with several sublinear neutral terms and in the canonical case. To determine the oscillation conditions, we followed the Riccati approach and also compared the studied equation with a first-order delay equation. Obtaining the oscillation conditions required deducing some new relationships linking the solution to the corresponding function as well as its derivatives. The paper addresses some interesting analytical points in the study of the oscillation of equations with several sublinear neutral terms. These new findings complement some well-known findings in the literature. Furthermore, an example is provided to show the importance of the results.

引用

页数：12

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