The purpose of this paper is to develop a method for the construction of solutions to initial problems of linear discrete systems with constant coefficients and with two delays where , are fixed, , , are constant matrices, is a given vector, and is an unknown vector. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential for two delays. Such approach results in a possibility to express an initial Cauchy problem in a closed form. Examples are shown illustrating the results obtained.
Josef Diblík. Blanka Morávková. "Representation of the Solutions of Linear Discrete Systems with Constant Coefficients and Two Delays." Abstr. Appl. Anal. 2014 (SI27) 1 - 19, 2014. https://doi.org/10.1155/2014/320476