Solvability for a nonlinear second-order three-point boundary value problem
type: Item
instance of: scholarly article
title: Solvability for a nonlinear second-order three-point boundary value problem
zbMATH Open document ID: 1069.34018
author: Yongping Sun
author: Lishan Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-20T00:00:00Z
review text: Using the Leray-Schauder nonlinear alternative theory, a nonconstant solution is found under suitable new conditions for the following three-point BVP \[ u'' +f(t,u)=0,\quad 0<t<1, \quad u'(0)=0, u(1)=\alpha u(\eta), \] with \(0<\eta<1\) and \(\alpha>0\) or \(\alpha<0\). Some examples are given to illustrate the results.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2093832
zbMATH Keywords: second-order nonlinear ordinary differential equation
zbMATH Keywords: three point boundary value problem
zbMATH Keywords: Leray-Schauder nonlinear alternative
reviewed by: Yujun Dong
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.04.013
OpenAlex ID: W2002860083
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cites work: Q4264050
cites work: Multiplicity results for a three-point boundary value problem at resonance.
DOI: 10.1016/J.JMAA.2004.04.013
description: scientific article; zbMATH DE number 2093832