Oscillation of perturbed nonlinear dynamic equations on time scales

被引:0
作者
Sun, HR [1 ]
Li, WT [1 ]
机构
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2005年 / 85卷 / 10期
关键词
time scales; dynamic equation; oscillation;
D O I
10.1002/zamm.200310212
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider the oscillatory and asymptotic behavior of bounded solutions of second-order nonlinear perturbed dynamic equation [GRAPHICS] (0.1) where r = k/l with k even and l odd positive integer. Some new sufficient conditions are obtained for all bounded solutions of (0.1) to be oscillatory. Several examples that dwell upon the importance of our results are also included. In particular, our criteria extend some earlier results.
引用
收藏
页码:755 / 760
页数:6
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