Implicit linear difference equation over residue class rings

Mykola V. Heneralov, Aleksey L. Piven'

Abstract


We investigate the first order implicit linear difference equation over residue class rings modulo \(m\). We prove an existence criterion and establish the number of solutions for this equation. We obtain analogous results for the initial problem of the considered equation. The examples which illustrate the developed theory are given.

Keywords


implicit linear difference equation, ring, residue class, initial problem

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DOI: http://dx.doi.org/10.12958/adm2110

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