NONEXISTENCE AND EXISTENCE OF POSITIVE SOLUTIONS FOR 2nTH-ORDER SINGULAR SUPERLINEAR PROBLEMS WITH STRUM-LIOUVILLE BOUNDARY CONDITIONS

被引：0

作者：

赵增勤 ^{[1
]}

机构：

[1] School of Mathematical Sciences, Qufu Normal University

来源：

Acta Mathematica Scientia | 2011年 / 31卷 / 04期

基金：

中国国家自然科学基金;

关键词：

2nth-order differential equation; singular boundary value problem; fixed point theorem; positive solution;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

摘要：

This paper investigates a class of 2nth-order singular superlinear problems with Strum-Liouville boundary conditions. We obtain a necessary and sufficient condition for the existence of C 2 n- 2 [0, 1] positive solutions, and a sufficient condition, a necessary condition for the existence of C 2 n-1 [0, 1] positive solutions. Relations between the positive solutions and the Green’s functions are depicted. The results are used to judge nonexistence or existence of positive solutions for given boundary value problems.

引用

页码：1569 / 1582

页数：14

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