Oscillation of second-order nonlinear delay dynamic equations on time scales

被引：94
|
作者：
Zhang, BG [1 ]
Zhu, SL [1 ]
机构：
[1] Ocean Univ, Dept Math, Qingdao 266071, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 04期
关键词：
oscillation; time scales; Riccati technique; delay dynamic equation;
D O I：
10.1016/j.camwa.2004.04.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, first, we establish the equivalence of the oscillation of the nonlinear dynamic equations x(Delta Delta) (t) + p(t)f(x(t -r)) = 0 and x(Delta Delta) (t) + p(t)(f o x(sigma)) = 0, on time scales, from which we obtain some oscillation criteria and comparison theorems for the first equation. Next, we obtain some new oscillation criteria for second-order linear dynamic equations on time scales. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：599 / 609
页数：11
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