A Butler-type oscillation theorem for second-order dynamic equations on discrete timescales

被引：2

作者：

Jia, Baoguo ^{[1
]}

Erbe, Lynn ^{[2
]}

Peterson, Allan ^{[2
]}

机构：

[1] Zhongshan Univ, Sch Math & Comp Sci, Guangzhou 510275, Guangdong, Peoples R China

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2014年 / 20卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

superlinear; dynamic equation; timescale; non-oscillatory solution; DIFFERENTIAL-EQUATIONS;

D O I：

10.1080/10236198.2013.791689

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider an extension of some results to dynamic equations on discrete timescales originally due to Butler for second-order superlinear differential equations. As an application, we get that the superlinear difference equation Delta(2)x(n - 1) + (-1)(n)/n(c) x(gamma)(n) = 0, gamma > 1 is oscillatory, if 0 < c <= 1.

引用

页码：671 / 684

页数：14

共 22 条

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