Positive solution for singular boundary value problems

被引：11

作者：

Wong, FH ^{[1
]}

Lian, WC ^{[1
]}

机构：

[1] NATL CENT UNIV,DEPT MATH,CHUNGLI 32054,TAIWAN

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 32卷 / 09期

关键词：

boundary value problems; positive solution; locally Lipschitz continuous;

D O I：

10.1016/0898-1221(96)00175-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sufficient condition for the existence of positive solutions of the nonlinear boundary value problem u ''(t) + f(t, u(t)) = 0, 0 < t < 1, u'(0) = u(1) = 0 is constructed, where f : [0, 1) x (0, infinity) --> (0, infinity) is continuous, f(t, u) is locally Lipschitz continuous, and f(t, u)/u is strictly decreasing in u > 0 for each t is an element of (0, 1).

引用

页码：41 / 49

页数：9

共 23 条

[1] ABEL-GONTSCHAROFF BOUNDARY-VALUE-PROBLEMS [J].