# 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

## 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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