Bifurcation from interval and positive solutions for a class of fourth-order two-point boundary value problem

被引：15

作者：

Shen, Wenguo ^{[1
]}

He, Tao ^{[1
]}

机构：

[1] Lanzhou Inst Technol, Dept Basic Courses, Lanzhou 730050, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

topological degree; fourth-order ordinary differential equation; bifurcation; positive solution; eigenvalue; NODAL SOLUTIONS; EIGENVALUE PROBLEMS; EQUATIONS;

D O I：

10.1186/1687-2770-2013-170

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the fourth-order two-point boundary value problem x'''' + kx '' + lx = f(t, x), 0 < t < 1, x(0) = x(1) = x'(0) = x'(1) = 0, which is not necessarily linearizable. We give conditions on the parameters k, l and f(t, x) that guarantee the existence of positive solutions. The proof of our main result is based upon topological degree theory and global bifurcation techniques.

引用

页数：12

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