Oscillation criteria for second order nonlinear delay dynamic equations on time scales

被引：17

作者：

Deng, Xun-Huan ^{[1
]}

Wang, Qi-Ru ^{[2
]}

Zhou, Zhan ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 269卷

关键词：

Half-linear delay dynamic equations; Oscillation; Time scales; Riccati transformation;

D O I：

10.1016/j.amc.2015.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By employing the generalized Riccati transformation, we establish some new oscillation criteria for second order delay dynamic equations on tune scales. The obtained results essentially improve the well-know oscillation results for half-linear dynamic equations such as Kamenev-type and Philos-type oscillation criteria. Some interesting examples are given to illustrate the versatility of our results. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：834 / 840

页数：7

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