Kamenev-type criteria for nonlinear damped dynamic equations

被引：83

作者：

Bohner Martin ^{[1
]}

Li TongXing ^{[2
,3
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

[2] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China

[3] Linyi Univ, Dept Math, Linyi 276005, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2015年 / 58卷 / 07期

关键词：

oscillation; second-order dynamic equation; nonlinear damped delay equation; time scale; OSCILLATION CRITERIA; ASYMPTOTIC-BEHAVIOR;

D O I：

10.1007/s11425-015-4974-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a new Kamenev-type theorem for a class of second-order nonlinear damped delay dynamic equations on a time scale by using the generalized Riccati transformation technique. The criterion obtained improves related contributions to the subject. An example is provided to illustrate assumptions in our theorem are less restrictive.

引用

收藏

页码：1445 / 1452

页数：8

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