  The aim of our paper is to formulate and solve problems concerning linear
multiple periodic recurrence equations. Among other things, we discuss in
detail the cases with periodic and multi-periodic coefficients, highlighting in
particular the theorems of Floquet type. For this aim, we find specific forms
for the fundamental matrix. Explicitly monodromy matrix is given, and its
eigenvalues (called Floquet multipliers) are shown. The Floquet point of view
brings about an important simplification: the initial linear multiple
recurrence system is reduced to another linear multiple recurrence system, with
constant coefficients along partial directions. The results are applied to the
discrete multitime Samuelson-Hicks models with constant, respectively
multi-periodic, coefficients, in order to find bivariate sequences with
economic meaning.
