Delayed linear difference equations: The method of $\mathcal{Z}$-transform

A system of nonhomogeneous linear difference equations with linear parts given by non-commutative matrices is studied. Representation of its solution is derived by means of newly defined delayed perturbation of discrete matrix exponential using the $\mathcal{Z}$-transform. We discard the invertibili...

Full description

Bibliographic Details
Main Author: Nazim Mahmudov
Format: Article
Language:English
Published: University of Szeged 2020-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8506