Global structure of positive solutions for some second-order multipoint boundary value problems
type: Item
instance of: scholarly article
title: Global structure of positive solutions for some second-order multipoint boundary value problems
zbMATH Open document ID: 1376.34024
DOI: 10.1155/2017/1014250
author: Junting Zhang
author: Hong-Yu Li
published in: Journal of Function Spaces
publication date: 2017-11-01T00:00:00Z
review text: Summary: We investigate in this paper the following second-order multipoint boundary value problem: \[ \begin{aligned} -(L\varphi)(t)=\lambda f(t,\varphi(t)), \quad 0\leq t\leq 1, \\ \varphi^\prime(0)=0, \quad\varphi (1)=\sum_{i=1}^{m-2}\beta_i \varphi (\eta_i). \end{aligned} \] Under some conditions, we obtain the global structure of the positive solution set of this boundary value problem and the behavior of positive solutions with respect to the parameter \(\lambda\) by using the global bifurcation method. We also obtain the infinite interval of the parameter \(\lambda\) about the existence of positive solutions.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 6801990
zbMATH Keywords: positive solution
zbMATH Keywords: global bifurcation method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1014250
OpenAlex ID: W2761391891
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description: scientific article; zbMATH DE number 6801990