Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales

被引:19
|
作者
Senel, M. Tamer [1 ]
机构
[1] Erciyes Univ, Dept Math, Fac Sci, TR-38039 Kayseri, Turkey
关键词
BEHAVIOR;
D O I
10.1155/2012/253107
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The oscillation of solutions of the second-order nonlinear dynamic equation (r(t)(x(Delta)(t))(gamma))(Delta) + p(t)(x(Delta)(t))(gamma) + f(t, x(g(t))) = 0, with damping on an arbitrary time scale T, is investigated. The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonlinear dynamic equation. Several new sufficient conditions for oscillatory solutions of this equation are obtained.
引用
收藏
页数:18
相关论文
共 50 条
  • [1] Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales
    Qiu, Yang-Cong
    Wang, Qi-Ru
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [2] Kamenev-type oscillation criteria for second order nonlinear dynamic equations on time scales
    Hassan, Taher S.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5285 - 5297
  • [3] KAMENEV-TYPE OSCILLATION CRITERIA FOR SECOND-ORDER MATRIX DYNAMIC EQUATIONS ON TIME SCALES
    Kong, Qingkai
    Wang, Qi-Ru
    Zhu, Zhi-Qiang
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2009, 18 (3-4): : 423 - 439
  • [4] New Kamenev-type oscillation criteria for second-order nonlinear differential equations with damping
    Sun, YG
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (01) : 341 - 351
  • [5] New Kamenev-type oscillation criteria for second-order nonlinear advanced dynamic equations
    Agarwal, Ravi P.
    Zhang, Chenghui
    Li, Tongxing
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 822 - 828
  • [6] Kamenev-type oscillation criteria for higher-order nonlinear dynamic equations on time scales
    Wu, Xin
    Sun, Taixiang
    Xi, Hongjian
    Chen, Changhong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [7] Kamenev-type criteria for nonlinear second-order delay dynamic equations
    Senel, M. Tamer
    Utkut, Nadide
    El-Sheikh, M. M. A.
    Li, Tongxing
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (02): : 339 - 345
  • [8] Kamenev-type oscillation criteria for higher-order nonlinear dynamic equations on time scales
    Xin Wu
    Taixiang Sun
    Hongjian Xi
    Changhong Chen
    [J]. Advances in Difference Equations, 2013
  • [9] Kamenev-type oscillation criteria for second-order linear delay dynamic equations
    Erbe, L
    Peterson, A
    Saker, SH
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2006, 15 (01): : 65 - 78
  • [10] On Kamenev-type oscillation theorems for second-order differential equations with damping
    Wong, JSW
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (01) : 244 - 257