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A note on the operational solution of linear difference equations

Authors
Journal
Journal of the Franklin Institute
0016-0032
Publisher
Elsevier
Publication Date
Volume
266
Issue
3
Identifiers
DOI: 10.1016/0016-0032(58)90264-3
Disciplines
  • Mathematics

Abstract

Abstract The z-transform is applied to the solution of linear difference equations with constant coefficients; boundary conditions are considered in the resulting solutions and certain theorems related to the z-transform are applied to obtain qualitative information about the solution. The z-transform is used to solve simultaneous difference equations with constant coefficients and the modified z-transform is used to solve difference equations whose coefficients are periodic functions. Finally, the z-transform is applied to the solution of difference equations with periodic coefficients. The methods of solution are illustrated with various examples which indicate the straightforward procedure for applying the z-transform and the modified z-transform to the solution of difference equations.

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