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Floquet theory, first published in 1883 for periodic linear differentialequations, is extended in this paper to multitime diagonal recurrences. We findexplicitly a monodromy matrix, and we comment its eigenvalues (called Floquetmultipliers). The Floquet point of view brings about an importantsimplification: the initial linear diagonal recurrence system is reduced to alinear recurrence system, with constant coefficients along "diagonal lines".The results are applied to the discrete multitime Samuelson-Hicks models, withconstant, respectively multi-periodic, coefficients, in order to find bivariatesequences with economic meaning. For constant coefficients case, it was foundalso the generating function; for multi-periodic coefficients case, wedetermined the Floquet multipliers.

Periodic linear discrete multitime diagonal recurrence with application in economics