Implicit linear difference equation over residue class rings

• 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
• Journal Title: Algebra and Discrete Mathematics

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...