Three-point boundary value problems for second-order discrete equations
type: Item
instance of: scholarly article
title: Three-point boundary value problems for second-order discrete equations
zbMATH Open document ID: 1055.39024
DOI: 10.1016/S0898-1221(03)00098-1
author: Ravi P. Agarwal
author: Bevan Thompson
author: Christopher C. Tisdell
publication date: 2004-08-06T00:00:00Z
review text: The authors present existence results for solutions to the following discrete equations: \[ \begin{aligned} D^2y_{k+1} & =f(x_k,y_k,Dy_k),\quad k=1,\dots,n-1,\\ (0,0) & = G(y_0,y_n,y_d),\quad d\in\{1,\dots,n-1\},\end{aligned} \] which approximate the three-point boundary value problem: \[ \begin{aligned} y'' & =f(x,y,y'),\quad 0\leq x\leq 1,\\ (0,0)& =G(y(0),y(1),y(a)),\quad 0<a<1,\end{aligned} \] where \(f\) and \(G\) are continuous and perhaps nonlinear functions.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 2082244
zbMATH Keywords: three-point boundary value problem
zbMATH Keywords: difference equations
zbMATH Keywords: Brouwder degree
zbMATH Keywords: second-order ordinary differential equations
reviewed by: Costică Moroşanu
MaRDI profile type: Publication
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full work available at URL: s0898-1221(03)00098-1
OpenAlex ID: W2079042261
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082244