Positive solutions for singular semi-positone boundary value problems
type: Item
instance of: scholarly article
title: Positive solutions for singular semi-positone boundary value problems
zbMATH Open document ID: 1028.34020
DOI: 10.1016/S0022-247X(02)00259-7
author: Xian Xu
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: Sufficient conditions are given for the existence of at least one positive solution to the boundary value problem \[ -y''(t)= f(t, y)+ q(t),\quad 0< t< 1,\qquad y(0)= y(1)= 0, \] which may be singular at \(t= 0\), \(t= 1\), \(y= 0\). For \(0< t< 1\), \(y> 0\), it is assumed that the function \(f(t,y)\) is continuous and positive, and the function \(q(t)\) is continuous and may change sign. The theorem is illustrated by an equation with \(t^{-1/2}\) and \(y^{-2}\) in the right-hand side.
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 1866579
zbMATH Keywords: existence
zbMATH Keywords: positive solutions
zbMATH Keywords: singular nonlinear boundary value problems
reviewed by: Sergei A. Brykalov
MaRDI profile type: Publication
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full work available at URL: s0022-247x(02)00259-7
OpenAlex ID: W2026960427
description: scientific article; zbMATH DE number 1866579