Solutions of \(n\)-point boundary value problems associated with nonlinear summary difference equations
type: Item
instance of: scholarly article
title: Solutions of \(n\)-point boundary value problems associated with nonlinear summary difference equations
zbMATH Open document ID: 0874.39005
DOI: 10.1016/S0377-0427(96)00171-9
author: Qin Sheng
author: Ravi P. Agarwal
published in: Journal of Computational and Applied Mathematics
publication date: 1997-11-11T00:00:00Z
review text: Systems of nonlinear difference equations \(\Delta v(k)=f(k,v(k),\sum^{k-1}_{i=k_0} a(k,i,v(i))\) are considered subject to an \(n\)-point condition \(A_1v(k_1)+\dots+A_n v(k_n)=\gamma\), where \(v\) and \(\gamma\) are \(m\)-dimensional vectors, and \(A_i\) corresponding matrices. Existence and uniqueness of the solution in generalized normed spaces are proved by means of new variation of parameter formulae. The solutions are also approximated iteratively, and numerical results are given.
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 65Q05
zbMATH DE Number: 1034166
zbMATH Keywords: nonlinear summary difference equations
zbMATH Keywords: variation of parameter
zbMATH Keywords: \(n\)-point boundary value problems
zbMATH Keywords: numerical examples
zbMATH Keywords: systems
zbMATH Keywords: normed spaces
reviewed by: Lothar Berg
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1034166