On the oscillation of Hill's equations under periodic forcing

被引：7
|
作者：
Kwong, MK
Wong, JSW
机构：
[1] City Univ Hong Kong, Kowloon, Hong Kong, Peoples R China
[2] Lucent Technol Inc, Lisle, IL 60532 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 320卷 / 01期
关键词：
ordinary differential equations; second order; linear; periodic; oscillation;
D O I：
10.1016/j.jmaa.2005.06.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the Floquet theory of the Hill's equation to prove the conjecture that all solutions of the second order forced linear differential equation y" + c(sin t)y = cos t, are oscillatory on [0, infinity) for all c not equal 0. (c) 2005 Elsevier Inc. All rights reserved.
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页码：37 / 55
页数：19
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