Integer solutions for a vector implicit linear difference equation in ZN

TitleInteger solutions for a vector implicit linear difference equation in ZN
Publication TypeJournal Article
Year of Publication2018
AuthorsGefter, SL, Goncharuk, AB, Piven', AL
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.11.011
Issue11
SectionMathematics
Pagination11-18
Date Published11/2018
LanguageUkrainian
Abstract
A criterion of the existence and the uniqueness for an integer solution of the implicit linear difference equation $Ax_{n+1} + Bx_{n} = f_{n}$, where $A$ and $B$ are matrices with integer entries, is proved. Sufficient conditions of the uniqueness for an integer solution of this equation are obtained.
Keywordsimplicit difference equation, integer solution
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