Wong's comparison theorem for second order linear dynamic equations on time scales

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:349

Article

Jia Baoguo^1,2 

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

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

关键词: Oscillation;    Nonoscillation;    Comparison theorem;    Dynamic equations;    Time scale;   

DOI  :  10.1016/j.jmaa.2008.09.012

来源: Elsevier

【 摘 要 】

We obtain Wong-type comparison theorems for second order linear dynamic equations on a time scale. The results obtained extend and are motivated by Wong's comparison theorems. As a particular application of our results, we show that the difference equation Delta(2)x(n) + b (-1)(n)/n(c) x(n + 1) = 0 where c < 1, b not equal 0, is oscillatory. @ 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free