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Zaballa, Ion ; Gracia, Juan M.
On difference linear periodic systems. I. Homogeneous case. (English). Aplikace matematiky, vol. 28 (1983), issue 4, pp. 241-248
MSC: 39A10 | MR 0710173 | Zbl 0529.39003 | DOI: 10.21136/AM.1983.104034
Keywords:
finite linear homogeneous system; $N$-periodic; explicit solution; asymptotic behaviour
Summary:
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.
References:
[1] N. J. Pullman: Matrix Theory and Its Applications. Marcel Dekker, Inc., New York, 1976. MR 0429941 | Zbl 0339.15001
[2] N. Rouche J. Mawhin: Equations Différentielles Ordinaires. Tome 1. Masson et Cie., Paris, 1973. MR 0481182
[3] A. Halanay: Differential Equations. Stability, Oscillations, Time Lags. Academic Press, 1966. MR 0216103 | Zbl 0144.08701
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