A multiplicity result for a singular generalized Sturm-Liouville boundary value problem
type: Item
instance of: scholarly article
title: A multiplicity result for a singular generalized Sturm-Liouville boundary value problem
zbMATH Open document ID: 1197.34039
author: Youwei Zhang
published in: Mathematical and Computer Modelling
publication date: 2010-05-08T00:00:00Z
review text: The author studies the existence of positive solutions of the singular second order boundary value problem \[ u''(t)+h(t) f(t, u(t), u'(t))=0, \] \[ a u(0)-bu'(0)=\sum^{m-2}_{i=1} a_i u(\xi_i),\quad c u(1)+d u'(1)=\sum^{m-2}_{i=1} b_i u(\xi_i), \] where \(h\) may be singular at \(t=0\) and/or \(t=1\). The main tool is a fixed point theorem in cones due to \textit{R. I. Avery} and \textit{A. C. Peterson} [Comput. Math. Appl. 42, No.~3--5, 313--322 (2001; Zbl 1005.47051)].
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5705683
zbMATH Keywords: positive solutions
zbMATH Keywords: multi-point boundary value problems
zbMATH Keywords: cone
zbMATH Keywords: Avery and Peterson's fixed point theorem
reviewed by: Ruyun Ma
MaRDI profile type: Publication
full work available at URL: j.mcm.2009.04.006
OpenAlex ID: W1965447675
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DOI: 10.1016/J.MCM.2009.04.006
description: scientific article; zbMATH DE number 5705683