Existence of multiple positive solutions for \(m\)-point boundary value problems in Banach spaces
type: Item
instance of: scholarly article
title: Existence of multiple positive solutions for \(m\)-point boundary value problems in Banach spaces
zbMATH Open document ID: 1147.34019
author: Yulin Zhao
author: Haibo Chen
published in: Journal of Computational and Applied Mathematics
publication date: 2008-04-07T00:00:00Z
review text: The authors give sufficient conditions for the existence of at least one or two positive solutions to the following \(m\)-point boundary value problem in Banach spaces: \[ u''(t)+a(t) f(t, u(t))=0, ~~u'(0)=\sum_{i=1}^{m-2} b_i u'(\xi_i), ~~u(1)=\sum_{i=1}^{m-2} a_i u(\xi_i), \] on \(I= [0,1]\). A fixed-point theorem is used and an application in a finite dimensional space is given.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 5261270
zbMATH Keywords: boundary value problem
zbMATH Keywords: Banach spaces
zbMATH Keywords: positive solutions
zbMATH Keywords: fixed-point
reviewed by: Ovidiu Cârjă
MaRDI profile type: Publication
full work available at URL: j.cam.2007.03.025
OpenAlex ID: W2037097460
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DOI: 10.1016/J.CAM.2007.03.025
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description: scientific article