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The universal form of a solution to a stationary linear difference equation

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The form of a solution to a difference equation depends on properties of roots of its characteristic equation. It is of practical interest to write the general solution of such… Click to show full abstract

The form of a solution to a difference equation depends on properties of roots of its characteristic equation. It is of practical interest to write the general solution of such an equation in the form suitable for any roots (except zero ones). In this paper, we solve this problem. Moreover, we simplify the algorithm for obtaining the general solution.

Keywords: difference equation; form solution; equation; universal form; solution

Journal Title: Russian Mathematics
Year Published: 2019

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