Oscillation of second-order nonlinear delay dynamic equations on time scales

被引：94
|
作者：
Zhang, BG [1 ]
Zhu, SL [1 ]
机构：
[1] Ocean Univ, Dept Math, Qingdao 266071, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 04期
关键词：
oscillation; time scales; Riccati technique; delay dynamic equation;
D O I：
10.1016/j.camwa.2004.04.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, first, we establish the equivalence of the oscillation of the nonlinear dynamic equations x(Delta Delta) (t) + p(t)f(x(t -r)) = 0 and x(Delta Delta) (t) + p(t)(f o x(sigma)) = 0, on time scales, from which we obtain some oscillation criteria and comparison theorems for the first equation. Next, we obtain some new oscillation criteria for second-order linear dynamic equations on time scales. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：599 / 609
页数：11
相关论文
共 50 条
  • [1] Oscillation for Second-Order Nonlinear Delay Dynamic Equations on Time Scales
    Zhenlai Han
    Tongxing Li
    Shurong Sun
    Chenghui Zhang
    Advances in Difference Equations, 2009
  • [2] Oscillation of second-order nonlinear delay dynamic equations on time scales
    Zhang, Quanxin
    Gao, Li
    Wang, Lei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) : 2342 - 2348
  • [3] Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales
    Agwa, H. A.
    Khodier, A. M. M.
    Hassan, Heba A.
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
  • [4] Oscillation for Second-Order Nonlinear Delay Dynamic Equations on Time Scales
    Han, Zhenlai
    Li, Tongxing
    Sun, Shurong
    Zhang, Chenghui
    ADVANCES IN DIFFERENCE EQUATIONS, 2009,
  • [5] Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales
    Song, X.
    Zhang, Q. X.
    PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTRICAL, AUTOMATION AND MECHANICAL ENGINEERING (EAME 2015), 2015, 13 : 827 - 830
  • [6] Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales
    Han, Zhenlai
    Sun, Shurong
    Zhang, Chenghui
    Li, Tongxing
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 5762 - 5766
  • [7] Oscillation of second-order nonlinear delay dynamic equations with damping on time scales
    Zhang Q.
    Gao L.
    Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 145 - 158
  • [8] Oscillation of Second-Order Nonlinear Delay Dynamic Equations with Damping on Time Scales
    Agwa, H. A.
    Khodier, Ahmed M. M.
    Hassan, Heba A.
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 2014
  • [9] Oscillation of second-order nonlinear neutral delay dynamic equations on time scales
    Saker, SH
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 187 (02) : 123 - 141
  • [10] Oscillation of second-order delay dynamic equations on time scales
    Sun S.
    Han Z.
    Zhang C.
    Journal of Applied Mathematics and Computing, 2009, 30 (1-2) : 459 - 468
12345