Existence of nonoscillatory solutions to neutral dynamic equations on time scales

被引：65
|
作者：
Zhu, Zhi-Qiang
Wang, Qi-Ru [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[2] Guangdong Polytech Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 335卷 / 02期
基金：
中国国家自然科学基金;
关键词：
neatral dynamic equations; time scales; nonoscillatory solutions; existence;
D O I：
10.1016/j.jmaa.2007.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give an analogue of the Arzela-Ascoli theorem on time scales. Then, we establish the existence of nonoscillatory solutions to the neutral dynamic equation [x(t) + p(t)x(g(t))](Delta) + f (t, x (h (t))) = 0 on a time scale. To dwell upon the importance of our results, three interesting examples are also included. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：751 / 762
页数：12
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