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
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
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.
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页数：18
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