Solutions of linear difference equations with variable coefficients
type: Item
instance of: scholarly article
title: Solutions of linear difference equations with variable coefficients
zbMATH Open document ID: 0914.39003
author: Ranjan K. Mallik
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-06-09T00:00:00Z
review text: Explicit solutions of a linear difference equation of unbounded order \[ y_k = \sum_{i=1}^{k-1} b_{k,i} y_i + x_k, k \geq 1, \] and a linear difference equation of order \(N (N \geq 2)\) \[ y_{k+N} = \sum_{j=1}^{N} a_{k,j} y_{k+N-j} + x_{k+N}, k \geq 1, \] are presented. Expressions for the product of companion matrices and for the positive integer powers of a companion matrix are given.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1217001
zbMATH Keywords: linear difference equation
zbMATH Keywords: explicit solution
zbMATH Keywords: companion matrices
reviewed by: Victor I. Tkachenko
MaRDI profile type: Publication
OpenAlex ID: W2029647516
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DOI: 10.1006/JMAA.1997.5903
description: scientific article; zbMATH DE number 1217001