Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions

被引：81

作者：

Agarwal, Ravi P. ^{[1
]}

Bazighifan, Omar ^{[2
,3
]}

Ragusa, Maria Alessandra ^{[4
,5
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[2] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen

[3] Seiyun Univ, Fac Educ, Dept Math, Hadhramout 50512, Yemen

[4] Univ Catania, Dept Math & Comp Sci, I-95124 Catania, Italy

[5] RUDN Univ, 6 Miklukho,Maklay St, Moscow 117198, Russia

来源：

ENTROPY | 2021年 / 23卷 / 02期

关键词：

neutral differential equations; oscillation; fourth-order differential equation; p-Laplacian equations;

D O I：

10.3390/e23020129

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included.

引用

页码：1 / 10

页数：10

共 25 条

[1]

Agarwal RP., 2000, Oscillation Theory for Difference and Functional Differential Equations

[2] Oscillation of nonlinear third-order difference equations with mixed neutral terms [J].

Alzabut, Jehad ;

Bohner, Martin ;

Grace, Said R. .

ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)

[3] Oscillation theorems for second-order nonlinear neutral differential equations [J].

Baculikova, B. ;

Dzurina, J. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) :4472-4478

[4] Oscillation for higher order differential equations with a middle term [J].

Bartusek, Miroslav ;

Dosla, Zuzana ;

Marini, Mauro .

BOUNDARY VALUE PROBLEMS, 2014,

[5] Oscillation of higher-order differential equations with distributed delay [J].

Bazighifan, O. ;

Elabbasy, E. M. ;

Moaaz, O. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

[6] On the oscillation of certain fourth-order differential equations with p-Laplacian like operator [J].

Bazighifan, Omar .

APPLIED MATHEMATICS AND COMPUTATION, 2020, 386

[7] Oscillation Theorems for Advanced Differential Equations withp-Laplacian Like Operators [J].

Bazighifan, Omar ;

Kumam, Poom .

MATHEMATICS, 2020, 8 (05)

[8] On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term [J].

Bazighifan, Omar ;

Ramos, Higinio .

APPLIED MATHEMATICS LETTERS, 2020, 107

[9] Improved Approach for Studying Oscillatory Properties of Fourth-Order Advanced Differential Equations withp-Laplacian Like Operator [J].

Bazighifan, Omar ;

Abdeljawad, Thabet .

MATHEMATICS, 2020, 8 (05)

[10] An Improved Criterion for the Oscillation of Fourth-Order Differential Equations [J].

Bazighifan, Omar ;

Ruggieri, Marianna ;

Scapellato, Andrea .

MATHEMATICS, 2020, 8 (04)

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