Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations
type: Item
instance of: scholarly article
title: Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations
zbMATH Open document ID: 1003.39012
DOI: 10.1016/S0893-9659(02)00039-3
author: Bevan Thompson
author: Christopher C. Tisdell
published in: Applied Mathematics Letters
publication date: 2002-09-03T00:00:00Z
review text: For the vector difference equation \(\Delta^2 y_{k+1}= f(x_k,y_k, \Delta y_k)\), \(k=1,\dots, n-1\), \(\Delta y_k= (y_k-y_{k-1})/h\), with nonlinear boundary conditions at \(k=0\) and \(k=n\), the existence of the solution and its convergence as \(h\to 0\), \(x_k=k h\to x\) are investigated.
reviewed by: Lothar Berg
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1794943
zbMATH Keywords: systems
zbMATH Keywords: boundary value problem
zbMATH Keywords: vector difference equation
zbMATH Keywords: convergence
MaRDI profile type: Publication
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cites work: Systems of differential equations with fully nonlinear boundary conditions
description: scientific article; zbMATH DE number 1794943