Universal form of solving the stationary linear difference equation

A. A. Baloev

Kazan National Research Technical University, 10 K. Marks str., Kazan, 420111 Russia

Abstract: The form of solution of difference equation depends on a character of roots of its characteristic equation. It is of practical interest of writing down the general solution of such an equation in the form suitable for any (except for zero) roots. Namely this problem is solved in this paper. We also simplify an algorithm of obtaining of a solution.

Keywords: discrete system, multiple root.

UDC: 517.962

Received: 07.04.2018
Revised: 16.07.2018
Accepted: 26.09.2018

DOI: 10.26907/0021-3446-2019-5-3-14

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:5, 1–12

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