Existence of positive solutions of a fourth-order boundary value problem

被引：59

作者：

Ma, RY ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 168卷 / 02期

基金：

中国国家自然科学基金;

关键词：

existence results; eigenvalues; bifurcation methods; positive solutions;

D O I：

10.1016/j.amc.2004.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the fourth-order boundary value problem u'''' = f(t,u,u"), 0 < t < 1 u(0) = u(1) = u"(0) = u"(1) = 0 where f(t,u,p) = au - b p + o(vertical bar(u,p)vertical bar) near (0, 0), and f(t,u,p) = cu - dp + o(vertical bar(u,p)vertical bar) near infinity. We give conditions on the constants a, b, c, d that guarantee the existence of positive solutions. The proof of our main result is based upon global bifurcation techniques. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：1219 / 1231

页数：13

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