Positive solutions of fourth-order boundary value problems with two parameters

被引：189
|
作者：
Li, YX [1 ]
机构：
[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 281卷 / 02期
关键词：
positive solution; cone; fixed point index;
D O I：
10.1016/S0022-247X(03)00131-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the existence results of positive solutions are obtained for fourth-order boundary value problem u((4)) + betau" - alphau = f(t, u), 0 < t < 1, u(0) = u(1) = u"(0) = u"(1) = 0, where f : [0, 1] x R+ --> R+ is continuous, alpha, beta is an element of R and satisfy beta < 2pi(2), alpha greater than or equal to -beta(2)/4, alpha/pi(4) + beta/pi(2) < 1. (C) 2003 Elsevier Science (USA). All rights reserved.
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页码：477 / 484
页数：8
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