Oscillation criteria for nonlinear functional differential equations of neutral type

被引：3

作者：

Ahmed, Fatima N. ^{[1
]}

Ahmad, Rokiah Rozita ^{[1
]}

Din, Ummul Khair Salma ^{[1
]}

Noorani, Mohd Salmi Md ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor DE, Malaysia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

oscillations; neutral delay differential equations; nonlinear;

D O I：

10.1186/s13660-015-0608-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some new sufficient conditions for the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the literature. Our main results are obtained by employing the Riccati transformation aiming to transfer the neutral equation to a nonneutral type and then using some inequality techniques. Some illustrative examples are also included.

引用

页数：11

共 20 条

[1]

Agarwal R P., 2004, NONOSCILLATION OSCIL, V267

[2] Oscillations for Neutral Functional Differential Equations [J].

Ahmed, Fatima N. ;

Ahmad, Rokiah R. ;

Din, Ummul K. S. ;

Noorani, Mohd S. M. .

SCIENTIFIC WORLD JOURNAL, 2014,

[3] Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients [J].

Ahmed, Fatima N. ;

Ahmad, Rokiah Rozita ;

Din, Ummul Khair Salma ;

Noorani, Mohd Salmi Md .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[4] DYNAMICS OF DELAYED SYSTEMS UNDER FEEDBACK-CONTROL [J].

BOE, E ;

CHANG, HC .

CHEMICAL ENGINEERING SCIENCE, 1989, 44 (06) :1281-1294

[5]

Chuanxi Q, 1990, APPL ANAL, V35, P187

[6] Oscillation of solutions for first order neutral differential equations with distributed deviating arguments [J].

Dong, Jiu-Gang .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (04) :784-790

[7] A MIXED NEUTRAL SYSTEM [J].

DRIVER, RD .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1984, 8 (02) :155-158

[8] Oscillation of nonlinear neutral delay differential equations [J].

Elabbasy E.M. ;

Hassan T.S. ;

Saker S.H. .

Journal of Applied Mathematics and Computing, 2006, 21 (1-2) :99-118

[9]

Erbe L., 1995, Oscillation theory for functional differential equations, DOI DOI 10.1201/9780203744727

[10]

GOPALSAMY K, 1992, CZECH MATH J, V42, P313

← 1 2 →