Three-point boundary value problems with solutions that change sign
type: Item
instance of: scholarly article
title: Three-point boundary value problems with solutions that change sign
zbMATH Open document ID: 1055.34023
author: Gennaro Infante
author: J. Webb
published in: Journal of Integral Equations and Applications
publication date: 2004-03-17T00:00:00Z
review text: The authors study the existence of nonzero solutions of the second-order differential equation \[ u^{''}(t)+g(t)f(u(t))=0, \;\;0<t<1,\eqno{(1)} \] under one of the boundary conditions \[ u^{'}(0)=0,\;\alpha u(\eta)=u(1),\;\;0<\eta<1,\eqno{(2)} \] \[ u(0)=0,\;\alpha u(\eta)=u(1),\;\;0<\eta<1.\eqno{(3)} \] By using the theory of fixed-point index, results on the existence of at least one or of multiple nonzero solutions for BVP (1), (2), and BVP (1), (3), are obtained.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H30
zbMATH DE Number: 2059970
zbMATH Keywords: fixed-point index
zbMATH Keywords: cone
zbMATH Keywords: nonzero solution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/jiea/1181074944
OpenAlex ID: W2013537515
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DOI: 10.1216/JIEA/1181074944
description: scientific article; zbMATH DE number 2059970