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

被引：38

作者：

Ma, Ruyun ^{[1
]}

Xu, Ling ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 05期

关键词：

Krein-Rutman theorem; Fourth-order ordinary differential equations; Elastic beam; Bifurcation; Positive solutions; Eigenvalue; NODAL SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.aml.2010.01.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions of fourth-order boundary value problem u((4))(t) = f(t, u(t), u ''(t)), t is an element of (0, 1), u(0) = u(1) = u ''(0) = u ''(1) = 0. where f : [0, 1] x [0, infinity) x (-infinity, 0] -> [0, infinity) is continuous. The proof of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：537 / 543

页数：7

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