Implicit Linear Difference Equation over Residue Class Rings

2023/01/31 by Mykola Heneralov, Heneralov, M. V., A. L. Piven' +1
Medicine · #16P50 #39A99 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Epidemiology and Ecology Models #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2301.13704

openalex publication_date 2023/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the first order implicit linear difference equation over residue class rings modulo m. We prove an existence criterion and establish the amount 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.

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