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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| Datum: | 2024 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2024
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2110 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543245609205760 |
|---|---|
| author | Heneralov, Mykola V. Piven', Aleksey L. |
| author_facet | Heneralov, Mykola V. Piven', Aleksey L. |
| author_sort | Heneralov, Mykola V. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2024-04-21T17:47:57Z |
| 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. |
| first_indexed | 2025-12-02T15:30:56Z |
| format | Article |
| id | admjournalluguniveduua-article-2110 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:30:56Z |
| publishDate | 2024 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | Implicit linear difference equation over residue class rings |
| title_sort | implicit linear difference equation over residue class rings |
| topic | implicit linear difference equation ring residue class initial problem 39A99 11B37 11B50 |
| topic_facet | implicit linear difference equation ring residue class initial problem 39A99 11B37 11B50 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2110 |
| work_keys_str_mv | AT heneralovmykolav implicitlineardifferenceequationoverresidueclassrings AT pivenalekseyl implicitlineardifferenceequationoverresidueclassrings |