A nonoscillation theorem for sublinear Emden-Fowler equations

被引：7
|
作者：
Kwong, MK [1 ]
Wong, JSW [1 ]
机构：
[1] Univ Hong Kong, Inst Math Res, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 07期
关键词：
second order; sublinear; ordinary differential equations; oscillation;
D O I：
10.1016/j.na.2005.07.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the sublinear Emden-Fowler equation (E)y" + a(x)vertical bar y vertical bar(gamma-1) y = 0, 0 < gamma < 1, and where a (x) is a positive continuous function on (0, infinity). Define phi(x) = x((gamma+3)/2)a(x). We prove in this paper that if phi(x) is nonincreasing and lim(x ->infinity) phi(x) = 0, then equation (E) is nonoscillatory. (c) 2005 Published by Elsevier Ltd.
引用
收藏
页码：1641 / 1646
页数：6
相关论文
共 50 条
12345