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.
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页码：117 / 135
页数：19
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