Bifurcation from interval and positive solutions for second order periodic boundary value problems

被引：24

作者：

Xu, Jia ^{[1
]}

Ma, Ruyun ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 08期

关键词：

Multiplicity results; Eigenvalues; Bifurcation methods; Bifurcation from interval; Positive solutions; ORDINARY DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.amc.2010.03.092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a global description of the branches of positive solutions of second order periodic boundary value problems u(n) - q(t)u + lambda f(t, u) = 0, 0 < t < 2 pi, u(0) = u(2 pi), u'(0) = u'(2 pi) which are not necessarily linearizable. Our approach are based on topological degree and global bifurcation techniques. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2463 / 2471

页数：9

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