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

页码：1641 / 1646

页数：6

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