Oscillation criteria for third-order delay differential equations

被引：29
|
作者：
Chatzarakis, George E. [1 ]
Grace, Said R. [2 ]
Jadlovska, Irena [3 ]
机构：
[1] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educators, Athens 14121, Greece
[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt
[3] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, Letna 9, Kosice 04200, Slovakia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
third-order; differential equation; delay; Gronwall inequality; oscillation;
D O I：
10.1186/s13662-017-1384-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order delay differential equation of the form (r(2)(t)(r(1)(t)y'(t))')' + q(t)y(tau(t)) = 0. We establish new oscillation criteria that can be used to test for oscillations, even when the previously known criteria fail to apply. Examples illustrating the results are also given.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Oscillation criteria for third-order delay differential equations
    George E Chatzarakis
    Said R Grace
    Irena Jadlovská
    [J]. Advances in Difference Equations, 2017
  • [2] Oscillation Criteria of Third-Order Nonlinear Impulsive Differential Equations with Delay
    Liu, Xiuxiang
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations
    Jadlovska, Irena
    Chatzarakis, George E.
    Dzurina, Jozef
    Grace, Said R.
    [J]. MATHEMATICS, 2021, 9 (14)
  • [4] Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations
    Wang, Miao
    Dong, Lifei
    [J]. JOURNAL OF MATHEMATICS, 2022, 2022
  • [5] OSCILLATION CRITERIA FOR THIRD-ORDER DIFFERENTIAL EQUATIONS
    JONES, GD
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (07): : A665 - A665
  • [6] Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation
    Moaaz, Osama
    Mahmoud, Emad E.
    Alharbi, Wedad R.
    [J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [7] Oscillation criteria for third-order neutral differential equations with continuously distributed delay
    Zhang, Quanxin
    Gao, Li
    Yu, Yuanhong
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (10) : 1514 - 1519
  • [8] OSCILLATION OF THIRD-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS
    Jianli Yao
    Xiaoping Zhang
    Jiangbo Yu
    [J]. Annals of Applied Mathematics, 2020, 36 (04) : 416 - 425
  • [9] OSCILLATION OF THIRD-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS
    Agarwal, Ravi P.
    Bohner, Martin
    Li, Tongxing
    Zhang, Chenghui
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (02): : 545 - 558
  • [10] Oscillation of Third-Order Neutral Delay Differential Equations
    Li, Tongxing
    Zhang, Chenghui
    Xing, Guojing
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
12345