Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach

被引：7

作者：

Lue, Haishen ^{[1
]}

O'Regan, Donal ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] Hohai Univ, Dept Appl Math, Nanjing 210098, Peoples R China

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

APPLICATIONS OF MATHEMATICS | 2007年 / 52卷 / 02期

基金：

中国国家自然科学基金;

关键词：

singular boundary value problem; positive solution; upper and lower solution;

D O I：

10.1007/s10492-007-0006-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of solutions to the singular boundary value problem [GRAPHICS] where g: (0, 1) X (0, infinity) -> R and h: (0, 1) x [0, infinity) -> [0, infinity) are continuous. So our nonlinearity may be singular at t = 0, 1 and u = 0 and, moreover, may change sign. The approach is based on an approximation method together with the theory of upper and lower solutions.

引用

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页码：117 / 135

页数：19

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