POSITIVE SOLUTIONS FOR A NONLINEAR PERIODIC BOUNDARY-VALUE PROBLEM WITH A PARAMETER

被引：0

作者：

Qiu, Jingliang ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Periodic boundary value problem; fixed point; partially ordered structure; positive solutions; DIFFERENTIAL-EQUATIONS; LIENARD EQUATION; EXISTENCE; MULTIPLICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using topological degree theory with a partially ordered structure of space, sufficient conditions for the existence and multiplicity of positive solutions for a second-order nonlinear periodic boundary-value problem are established. Inspired by ideas in Guo and Lakshmikantham [ 6], we study the dependence of positive periodic solutions as a parameter approaches infinity, lim(lambda ->+infinity) parallel to x(lambda)parallel to = +infinity, or lim(lambda ->+infinity) parallel to x(lambda)parallel to = 0.

引用

页数：10

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