Nodal solutions of multi-point boundary value problems

被引：14
|
作者：
Kong, Lingju [2 ]
Kong, Qingkai [1 ]
Wong, James S. W. [3 ,4 ]
机构：
[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA
[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[3] City Univ Hong Kong, Univ Hong Kong, Hong Kong, Hong Kong, Peoples R China
[4] Chinney Investment Ltd, Hong Kong, Hong Kong, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 01期
关键词：
Nodal solutions; Multi-point boundary value problems; Sturm-Liouville problems; Eigenvalues; M-POINT; POSITIVE SOLUTIONS; 2ND-ORDER; EXISTENCE; EIGENVALUES;
D O I：
10.1016/j.na.2009.06.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the nonlinear boundary value problem consisting of the equation y '' + w(t)f(y) = 0 on [a, b] and a multi-point boundary condition. By relating it to the eigenvalues of a linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions of this problem. We also discuss the changes in the existence question for different types of nodal solutions as the problem changes. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：382 / 389
页数：8
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