Multitime Floquet Theory

Constantin Udrişte

Abstract


This paper is a contribution to the Floquet ideas applied for multitime overdetermined linear first order PDE dynamical systems with multi- periodic coefficients. The main results include: (1) a formula for the fundamental matrix; (2) the equivalence between a T-multi-periodic PDE system and a constant coefficient PDE system; (3) a new criteria for the controllability of overdetermined linear PDE systems.


Keywords


multitime Floquet theory, overdetermined PDE systems, multi-periodic solutions, multitime controllability

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DOI: http://dx.doi.org/10.1478/AAPP.91S2A5