Nodal solutions for a second-order m-point boundary value problem

被引：23

作者：

Ma, Ruyun ^{[1
]}

机构：

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

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2006年 / 56卷 / 04期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

multiplicity results; eigenvalues; bifurcation methods; nodal zeros; multi-point boundary value problems;

D O I：

10.1007/s10587-006-0092-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of nodal solutions of the m-point boundary value problem u" + f(u) = 0, 0 < t < 1, u'(0) = 0, u(1) = Sigma(m-2)(i=1) alpha(i)u(eta(i)) where eta(i) is an element of Q (i = 1, 2,..., m - 2) with 0 < eta(1) < eta(2) <... < eta(m-2) < 1, and alpha(i) is an element of R (i = 1,2,...,m-2) with alpha(i) > 0 and 0 < Sigma(m-2)(i=1) alpha(i) < 1. We give conditions on the ratio f (s)/s at infinity and zero that guarantee the existence of nodal solutions. The proofs of the main results are based on bifurcation techniques.

引用

页码：1243 / 1263

页数：21

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