Oscillation Criteria for Second-Order Quasilinear Neutral Delay Dynamic Equations on Time Scales

被引：0

作者：

Sun, Yibing ^{[1
]}

Han, Zhenlai ^{[1
,2
]}

Li, Tongxing ^{[1
]}

Zhang, Guangrong ^{[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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

基金：

中国博士后科学基金;

关键词：

EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish some new oscillation criteria for the second-order quasilinear neutral delay dynamic equations [r(t)(z(Delta)(t))(r)](Delta) + q(1)(t)x(alpha)(tau(1)(t)) + q(2)(t)x(beta)(tau(2)(t)) = 0 on a time scale T, where z(t) = x(t) + p(t)x(tau(0)(t)), 0 < alpha < gamma < beta. Our results generalize and improve some known results for oscillation of second-order nonlinear delay dynamic equations on time scales. Some examples are considered to illustrate our main results.

引用

页数：14

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