Geodesic
On difference linear periodic systems. I. Homogeneous case
Applications of Mathematics, Tome 28 (1983) no. 4, pp. 241-248

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MR Zbl
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.
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.
DOI : 10.21136/AM.1983.104034
Classification : 39A10
Keywords: finite linear homogeneous system; $N$-periodic; explicit solution; asymptotic behaviour 
Zaballa, Ion; Gracia, Juan M. On difference linear periodic systems. I. Homogeneous case. Applications of Mathematics, Tome 28 (1983) no. 4, pp. 241-248. doi: 10.21136/AM.1983.104034
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[1] N. J. Pullman: Matrix Theory and Its Applications. Marcel Dekker, Inc., New York, 1976. | MR | Zbl

[2] N. Rouche J. Mawhin: Equations Différentielles Ordinaires. Tome 1. Masson et Cie., Paris, 1973. | MR

[3] A. Halanay: Differential Equations. Stability, Oscillations, Time Lags. Academic Press, 1966. | MR | Zbl

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