Implicit linear difference equation over residue class rings

Implicit linear difference equation over residue class rings

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 illust...

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Bibliographic Details
Date:2024
Main Authors: Heneralov, Mykola V., Piven', Aleksey L.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
implicit linear difference equation
ring
residue class
initial problem
39A99
11B37
11B50
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2110
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-2110
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-21102024-04-21T17:47:57Z Implicit linear difference equation over residue class rings Heneralov, Mykola V. Piven', Aleksey L. implicit linear difference equation, ring, residue class, initial problem 39A99, 11B37, 11B50 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. Lugansk National Taras Shevchenko University Akhiezer Foundation 2024-04-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2110 10.12958/adm2110 Algebra and Discrete Mathematics; Vol 37, No 1 (2024) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2110/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2110/1081 Copyright (c) 2024 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2024-04-21T17:47:57Z
collection OJS
language English
topic implicit linear difference equation
ring
residue class
initial problem
39A99
11B37
11B50
spellingShingle implicit linear difference equation
ring
residue class
initial problem
39A99
11B37
11B50
Heneralov, Mykola V.
Piven', Aleksey L.
Implicit linear difference equation over residue class rings
topic_facet implicit linear difference equation
ring
residue class
initial problem
39A99
11B37
11B50
format Article
author Heneralov, Mykola V.
Piven', Aleksey L.
author_facet Heneralov, Mykola V.
Piven', Aleksey L.
author_sort Heneralov, Mykola V.
title Implicit linear difference equation over residue class rings
title_short Implicit linear difference equation over residue class rings
title_full Implicit linear difference equation over residue class rings
title_fullStr Implicit linear difference equation over residue class rings
title_full_unstemmed Implicit linear difference equation over residue class rings
title_sort implicit linear difference equation over residue class rings
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2024
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2110
work_keys_str_mv AT heneralovmykolav implicitlineardifferenceequationoverresidueclassrings
AT pivenalekseyl implicitlineardifferenceequationoverresidueclassrings
first_indexed 2025-07-17T10:32:30Z
last_indexed 2025-07-17T10:32:30Z
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