Integer solutions for a vector implicit linear difference equation in ZN
DOI:
https://doi.org/10.15407/dopovidi2018.11.011Keywords:
implicit difference equation, integer solutionAbstract
A criterion of the existence and the uniqueness for an integer solution of the implicit linear difference equation Axn+1+Bxn=fn, 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.
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