Implicit linear difference equations over a non-Archi-medean ring

Over any field an implicit linear difference equation one can reduce to the usual explicit one, which has infinitely many solutions ~ one for each initial value. It is interesting to consider an implicit difference equation over any ring, because the case of implicit equation over a ring is a signif...

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Bibliographic Details
Main Author: Anna Goncharuk
Format: Article
Language:English
Published: V.N. Karazin Kharkiv National University Publishing 2021-06-01
Series:Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
Subjects:
Online Access:https://periodicals.karazin.ua/mech_math/article/view/17409