Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales

被引：1
|
作者：
Qiu, Yang-Cong [1 ]
机构：
[1] Shunde Polytech, Sch Humanities & Social Sci, Foshan 528333, Guangdong, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
关键词：
D O I：
10.1155/2015/231261
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form (r(1)(t)(r(2)(t)(x(Delta)(t))(r))(Delta))(Delta) + f(t, x(t), x(sigma)(t), x(g(t)), x(Delta)(t)) = 0 by employing functions in some function classes and the generalized Riccati transformation. Two examples are given to show the significance of the conclusions.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] OSCILLATION CRITERIA FOR THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES
    Li, Tongxing
    Han, Zhenlai
    Zhang, Chenghui
    Sun, Ying
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (01): : 52 - 60
  • [2] Oscillation Criteria for Nonlinear Third-Order Neutral Dynamic Equations with Damping on Time Scales
    Qiu, Yang-Cong
    Zada, Akbar
    Qin, Haiyong
    Li, Tongxing
    [J]. JOURNAL OF FUNCTION SPACES, 2017, 2017
  • [3] Oscillation for third-order nonlinear delay dynamic equations on time scales
    Liu, Shouhua
    Zhang, Quanxin
    Gao, Li
    [J]. SENSORS, MEASUREMENT AND INTELLIGENT MATERIALS II, PTS 1 AND 2, 2014, 475-476 : 1578 - 1582
  • [4] Oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales
    Yang-Cong Qiu
    [J]. Advances in Difference Equations, 2015
  • [5] Oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales
    Qiu, Yang-Cong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [6] Oscillation criteria for nonlinear damped dynamic equations on time scales
    Erbe, Lynn
    Hassan, Taher S.
    Peterson, Allan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) : 343 - 357
  • [7] Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales
    Zhang, Zhiyu
    Feng, Ruihua
    Jadlovska, Irena
    Liu, Qingmin
    [J]. MATHEMATICS, 2021, 9 (05) : 1 - 18
  • [8] Oscillation results of third-order nonlinear dynamic equations with damping on time scales
    Tugla, Emine
    Topal, Fatma Serap
    [J]. CONTRIBUTIONS TO MATHEMATICS, 2022, 6 : 30 - 38
  • [9] OSCILLATION OF THIRD-ORDER NONLINEAR NEUTRAL FUNCTIONAL DYNAMIC EQUATIONS ON TIME SCALES
    Saker, S. H.
    Graef, John R.
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2012, 21 (04): : 583 - 606
  • [10] Oscillation of Solutions to Third-Order Nonlinear Neutral Dynamic Equations on Time Scales
    Qiu, Yang-Cong
    Chiu, Kuo-Shou
    Grace, Said R.
    Liu, Qingmin
    Jadlovska, Irena
    [J]. MATHEMATICS, 2022, 10 (01)
12345