Accomodation of zero-valued characteristic roots in the classical solution expression for linear, homogeneous, constant-coefficient, difference equations
type: Item
instance of: scholarly article
title: Accomodation of zero-valued characteristic roots in the classical solution expression for linear, homogeneous, constant-coefficient, difference equations
zbMATH Open document ID: 0919.39001
DOI: 10.1155/S1024123X96000403
author: C. D. Johnson
published in: Mathematical Problems in Engineering
publication date: 1999-06-28T00:00:00Z
full work available at URL: https://eudml.org/doc/48203
review text: Summary: Linear, constant-coefficient difference equations play a central role in many areas of engineering, where cases involving repeated zero-valued characteristic roots are sometimes of particular interest. Unfortunately, the classical solution expression presented in the mathematical literature of difference equations is not valid for this latter case. In this paper we develop a unique generalization of the classical solution expression for linear, constant-coefficient, homogeneous difference equations that accommodates the most general case of repeated zero-valued characteristic roots, thereby ``completing'' the classical theory. A worked example is presented to illustrate our result.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1283601
zbMATH Keywords: linear, constant-coefficient difference equations
zbMATH Keywords: discrete-time models
zbMATH Keywords: repeated zero-valued characteristic roots
zbMATH Keywords: classical solution expression
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1283601