Oscillation of second-order half-linear delay dynamic equations with damping on time scales

被引：25

作者：

Zhang, Quanxin ^{[1
]}

机构：

[1] Binzhou Univ, Dept Math & Informat Sci, Shandong 256603, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Oscillation criterion; Dynamic equations; Time scale; Half-linear; CRITERIA; THEOREMS;

D O I：

10.1016/j.cam.2010.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the generalized Riccati transformation and the inequality technique, we establish a few new oscillation criterions for certain second-order half-linear delay dynamic equations with damping on a time scale. Our results extend and improve some known results, but also unify the oscillation of the second-order half-linear delay differential equation with damping and the second-order half-linear delay difference equation with damping. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1180 / 1188

页数：9

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