Parametrized singular boundary value problems
type: Item
instance of: scholarly article
title: Parametrized singular boundary value problems
zbMATH Open document ID: 0812.34019
author: Michal Fečkan
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-05-16T00:00:00Z
review text: Certain \((\varepsilon,\lambda)\)-families of second-order singular ordinary differential equations together with boundary value conditions of the form \(u(0)= u(1)= 0\), \(u(1/2)= a\), \(u(1/5)= b\) are considered. Using some results from his paper [J. Differ. Equations 106, 312-331 (1993)], the author establishes lower estimates for the number of parameters \(\lambda\in \mathbb{R}^ 2\) for which those equations possess a positive solution (\(\varepsilon\geq 0\) small).
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 710330
zbMATH Keywords: Nielsen fixed point theory
zbMATH Keywords: positive solution
zbMATH Keywords: families of second-order singular ordinary differential equations
zbMATH Keywords: boundary value conditions
zbMATH Keywords: number of parameters
reviewed by: Elena Trofimchuk
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1435
OpenAlex ID: W1975703478
DOI: 10.1006/JMAA.1994.1435
description: scientific article; zbMATH DE number 710330