Abstract
The aim of this work is to show the consistency of all systems of non-homogeneous linear difference equations of the form , where is a finite potent endomorphism of an arbitrary vector space V and . An algorithm to compute the set of solutions of these systems is given. In particular, the method offered is valid for computing the explicit solutions of the system of non-homogeneous difference equations , with A being a finite square matrix.
Acknowledgments
The author would like to thank the anonymous reviewers for their valuable comments to improve the quality of the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).