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On difference linear periodic systems. I. Homogeneous case

Ion Zaballa;  Juan-Miguel Gracia — 1983

Aplikace matematiky

The paper deals with the reduction of a linear homogeneous periodic system in differences (recurrence relations) to another linear homogeneous system with constant coefficients. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior, and to obtain all solutions in closed form.

On difference linear periodic systems II. Non-homogeneous case

Ion Zaballa;  Juan-Miguel Gracia — 1985

Aplikace matematiky

This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.

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