On the oscillation of second-order half-linear dynamic equations

被引：108

作者：

Grace, Said R. ^{[2
]}

Bohner, Martin ^{[1
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Econ & Finance, Rolla, MO USA

[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12211, Egypt

[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2009年 / 15卷 / 05期

基金：

美国国家科学基金会;

关键词：

dynamic equation; half-linear; oscillation; second-order; TIME SCALES; CRITERIA;

D O I：

10.1080/10236190802125371

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain some oscillation criteria for solutions to the second-order half-linear dynamic equation (a(x(Delta))(alpha))(Delta) (t) + q(t)x(alpha)(t) = 0, when integral(infinity) a(-1/alpha)(s)Delta s = infinity or integral(infinity) a(-1/alpha)(s)Delta s < infinity. These criteria unify and extend known criteria for corresponding half-linear differential and difference equations. Some of our results are new even in the continuous and the discrete cases.

引用

页码：451 / 460

页数：10

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