Positive solutions for second-order three-point eigenvalue problems
type: Item
instance of: scholarly article
title: Positive solutions for second-order three-point eigenvalue problems
zbMATH Open document ID: 1204.34029
DOI: 10.1155/2010/236826
author: Chuanzhi Bai
published in: Abstract and Applied Analysis
publication date: 2010-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/230319
review text: Summary: By means of the fixed point index theorem in cones, we get an existence theorem concerning the existence of a positive solution for the second-order three-point eigenvalue problem \[ x''(t)+\lambda f(t,x(t))=0,\quad 0\leq t\leq 1,\;x(0)=0,\;x(1)=x(\eta), \] where \(\lambda\) is a parameter. An illustrative example is given to demonstrate the effectiveness of the obtained result.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 5791607
Wikidata QID: Q58649779
MaRDI profile type: Publication
OpenAlex ID: W2151254253
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description: scientific article; zbMATH DE number 5791607