Oscillation criteria for nth-order nonlinear delay differential equations with a middle term

被引：5

作者：

Grace, S. R. ^{[1
]}

Zafer, A. ^{[2
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt

[2] Amer Univ Middle East, Coll Engn & Technol, Dept Math & Stat, Eqaila, Kuwait

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 05期

关键词：

oscillation; nth-order; delay differential equation; comparison; DEVIATING ARGUMENTS;

D O I：

10.1002/mma.3559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish some new criteria for the oscillation of nth-order nonlinear delay differential equations of the form (r(2)(t) (r(1)(t) (y((n-2))(t)(alpha))')' + p(t) (y((n-2))(t))(alpha) + q(t)f(y(g(t))) = 0, n even, provided that the second-order equation (r(2)(t)z')' + p(t)/r(1)(t)z = 0 is either nonoscillatory or oscillatory. Examples are given to illustrate the results. Copyright (C) 2015 John Wiley & Sons, Ltd.

引用

页码：1150 / 1158

页数：9

共 50 条

[1] Forced oscillation of nth-order nonlinear differential equations
Yang, XJ
APPLIED MATHEMATICS AND COMPUTATION, 2003, 134 (2-3) : 301 - 305
[2] Forced oscillation of nth-order nonlinear differential equations
Agarwal, RP
Grace, SR
APPLIED MATHEMATICS LETTERS, 2000, 13 (07) : 53 - 57
[3] OSCILLATION CRITERIA FOR FOURTH ORDER NONLINEAR POSITIVE DELAY DIFFERENTIAL EQUATIONS WITH A MIDDLE TERM
Grace, Said
Akin, Elvan
DYNAMIC SYSTEMS AND APPLICATIONS, 2016, 25 (03): : 431 - 438
[4] Oscillation criteria for nth-order forced functional differential equations
Çakmak, D
Tiryaki, A
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 278 (02) : 562 - 576
[5] Oscillation criteria for nth order nonlinear neutral differential equations
Shi, Yanxiang
APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 423 - 429
[6] ON THE OSCILLATION OF AN NTH-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL-EQUATION
GRAEF, JR
SPIKES, PW
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1992, 41 (1-2) : 35 - 40
[7] OSCILLATION CRITERIA FOR EVEN ORDER DELAY DIFFERENTIAL EQUATIONS WITH NONLINEAR TERM
Jinchang Yu
AnnalsofAppliedMathematics, 2017, 33 (02) : 203 - 211
[8] Oscillation criteria for odd-order nonlinear delay differential equations with amiddle term
Grace, S. R.
Jadlovska, I.
Zafer, A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (14) : 5147 - 5160
[9] OSCILLATION CRITERIA FOR THIRD ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS WITH DAMPING
Grace, Said R.
OPUSCULA MATHEMATICA, 2015, 35 (04) : 485 - 497
[10] Oscillation and Asymptotic Behavior for nth-order Nonlinear Neutral Delay Dynamic Equations on Time Scales
Da-Xue Chen
Acta Applicandae Mathematicae, 2010, 109 : 703 - 719

← 1 2 3 4 5 →