Non-classical operational calculus applied to certain linear discrete time-system

In the paper there bas been made an advantage of the non-classical operational calculus to determination of the response of the certain discrete time-systems. The Z-transform is often used to analysis of the stationary discrete time-systems. However, the use of the Z-transform to determination of the response especially of the non-stationary discrete time-systems is doubtful or may cause complications. This method leads to differential equa-tions of n-th order of variable coefficients, whose solutions are very difficult or impossible. The non-classical operational calculus ran be used to analysis both of the stationary and non-stationary discrete time-systems. The presented method with the use of the Heaviside operator soon leads to the target without unnecessary differential equations.