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arXiv · 2301.13704

Implicit Linear Difference Equation over Residue Class Rings

M. V. Heneralov·A. L. Piven'
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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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M. V. Heneralov, A. L. Piven'. 2023-01-31. Implicit Linear Difference Equation over Residue Class Rings. https://arxiv.org/abs/2301.13704

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