Three-point boundary value problems for difference equations
type: Item
instance of: scholarly article
title: Three-point boundary value problems for difference equations
zbMATH Open document ID: 1075.39015
author: Guang Zhang
author: Rigoberto Medina
publication date: 2005-04-07T00:00:00Z
review text: The authors consider the discrete nonlinear difference equation \(\Delta^2x_{k-1} +f(x_k)=0\) together with a three point boundary condition \(x_0=0\), \(x_{n+1} = ax_\ell+b\). By means of Krasnoselskii's fixed point theorem they prove results on (non-)existence and uniqueness of positive solutions. Finally they point out an application to a discrete model of heat conduction.
reviewed by: Stefan Hilger
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2153522
zbMATH Keywords: three point boundary value problem
zbMATH Keywords: fixed point theorem
zbMATH Keywords: discrete nonlinear difference equation
zbMATH Keywords: positive solutions
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.09.002
OpenAlex ID: W2056484693
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DOI: 10.1016/J.CAMWA.2004.09.002
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2153522