ON THE NUMBER OF ZEROS OF BOUNDED NONOSCILLATORY SOLUTIONS TO HIGHER-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Naito, Manabu [1 ]
机构：
[1] Ehime Univ, Dept Math, Fac Sci, Matsuyama, Ehime 7908577, Japan
来源：
ARCHIVUM MATHEMATICUM | 2007年 / 43卷 / 01期
基金：
日本学术振兴会;
关键词：
nonoscillatory solutions; zeros of solutions; singular eigenvalue problems;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The higher-order nonlinear ordinary differential equation x((n)) + lambda(p)(t) f (x) = 0, t >= a, is considered and the problem of counting the number of zeros of bounded nonoscillatory solutions x(t; lambda) satisfying lim(t ->infinity) x(t; lambda) = 1 is studied. The results can be applied to a singular eigenvalue problem.
引用
收藏
页码：39 / 53
页数：15
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