On the Oscillation of Second-Order Neutral Delay Differential Equations

被引:12
|
作者
Han, Zhenlai [1 ,2 ]
Li, Tongxing [1 ]
Sun, Shurong [1 ,3 ]
Chen, Weisong [1 ]
机构
[1] Univ Jinan, Sch Sci, Jinan 250022, Shandong, Peoples R China
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
[3] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla 654090020, MO, Peoples R China
关键词
CRITERIA; THEOREMS; PAPER;
D O I
10.1155/2010/289340
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some new oscillation criteria for the second-order neutral delay differential equation (r(t)z'(t))' + q(t)x(sigma(t)) = 0, t >= t(0) are established, where integral(infinity)(t0) (1/r(t))dt = infinity, z(t) = x(t) + [(t)x(tau(t), 0 <= p(t) <= p(0) < infinity, 1(t) > 0. These oscillation criteria extend and improve some known results. An example is considered to illustrate the main results.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] On the Oscillation of Second-Order Neutral Delay Differential Equations
    Zhenlai Han
    Tongxing Li
    Shurong Sun
    Weisong Chen
    [J]. Advances in Difference Equations, 2010
  • [2] Oscillation of nonlinear second-order neutral delay differential equations
    Yang, Jiashan
    Wang, Jingjing
    Qin, Xuewen
    Li, Tongxing
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2727 - 2734
  • [3] Oscillation of forced second-order neutral delay differential equations
    Jiang, Ying
    Fu, Youliang
    Wang, Haixia
    Li, Tongxing
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [4] Oscillation criteria for second-order neutral delay differential equations
    Bohner, Martin
    Grace, Said R.
    Jadlovska, Irena
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (60) : 1 - 12
  • [5] Oscillation of forced second-order neutral delay differential equations
    Ying Jiang
    Youliang Fu
    Haixia Wang
    Tongxing Li
    [J]. Advances in Difference Equations, 2015
  • [6] Oscillation behavior for neutral delay differential equations of second-order
    Moaaz, Osama
    Muhib, Ali
    Muhsin, Waed
    Qaraad, Belgees
    Ahmad, Hijaz
    Yao, Shao-Wen
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (04) : 4390 - 4401
  • [7] Oscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations
    Han, Zhenlai
    Li, Tongxing
    Sun, Shurong
    Chen, Weisong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [8] Oscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations
    Zhenlai Han
    Tongxing Li
    Shurong Sun
    Weisong Chen
    [J]. Advances in Difference Equations, 2010
  • [9] Oscillation criteria for a class of second-order neutral delay differential equations
    Karpuz, B.
    Manojlovic, J. V.
    Oecalan, Oe.
    Shoukaku, Y.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (02) : 303 - 312
  • [10] Sharp results for oscillation of second-order neutral delay differential equations
    Bohner, Martin
    Grace, Said R.
    Jadlovska, Irena
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023, (04) : 1 - 23