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

被引：201

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.

引用

页码：477 / 484

页数：8

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