Positive solutions of a nonlinear ordinary differential equation
type: Item
instance of: scholarly article
title: Positive solutions of a nonlinear ordinary differential equation
zbMATH Open document ID: 1018.34024
author: Keng Deng
author: Cheng-Lin Zhao
published in: Differential and Integral Equations
publication date: 2002-11-27T00:00:00Z
review text: The authors consider the nonlinear boundary value problem \[ v''(x)-\varepsilon v^{-q}(x)= 0,\quad 0< x< 1,\quad v'(1)= v^p(1), \] where \(0< p\), \(q<\infty\) and \(\varepsilon\) is a positive parameter. They investigate a relationship between the number of positive solutions and the parameters \(p\), \(q\) and \(\varepsilon\).
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 1836182
zbMATH Keywords: ordinary differential equation
zbMATH Keywords: nonlinear boundary value condition
zbMATH Keywords: positive solution
zbMATH Keywords: multiplicity
reviewed by: Ruyun Ma
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1836182