Multiple positive solutions to singular boundary value problems for superlinear second-order ODEs
type: Item
instance of: scholarly article
title: Multiple positive solutions to singular boundary value problems for superlinear second-order ODEs
zbMATH Open document ID: 1014.34010
DOI: 10.1016/S0252-9602(17)30472-1
author: Daqing Jiang
published in: Acta Mathematica Scientia. Series B. (English Edition)
publication date: 2003-07-16T00:00:00Z
review text: The author studies the boundary value problem \[ y''+q(t)f(t,y)= 0,\;0<t<1, \quad y(0)=y(1)=0, \] where \(q(t)\) may be singular at \(t=0\) and \(t=1\), and \(f(t,y)\) may be superlinear at \(y=\infty\) and singular at \(y=0\). Results guaranteeing the existence of multiple positive solutions to this prohlem are obtained. The proofs rely on properties of Green's function and a fixed-point theorem in cones.
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1810187
zbMATH Keywords: singular boundary value problem
zbMATH Keywords: superlinearity
zbMATH Keywords: existence
zbMATH Keywords: Green's function
zbMATH Keywords: fixed-point theorem
reviewed by: Petio S. Kelevedjiev
MaRDI profile type: Publication
full work available at URL: s0252-9602(17)30472-1
OpenAlex ID: W2782817454
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description: scientific article; zbMATH DE number 1810187