The existence of positive solutions for the Sturm-Liouville boundary value problems

被引：37
作者：
Agarwal, RP
Hong, HL
Yeh, CC
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 35卷 / 09期
关键词：
Sturm-Liouville boundary value problem; cone; fixed point theorem;
D O I：
10.1016/S0898-1221(98)00060-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For the Sturm-Liouville boundary value problem (p(t)u'(t))' + lambda f(t, u(t)) = 0, 0 < t < 1, alpha(1)u(0) - beta(1)p(0)u'(0) = 0, (BVP) alpha(2)u(1) + beta(2)p(1)u'(1) = 0, where lambda > 0, we shall use a fixed point theorem in a cone to obtain the existence of positive solutions for lambda on a suitable interval.
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页码：89 / 96
页数：8
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