# On difference linear periodic systems. I. Homogeneous case

Ion Zaballa; Juan-Miguel Gracia

Aplikace matematiky (1983)

- Volume: 28, Issue: 4, page 241-248
- ISSN: 0862-7940

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topZaballa, Ion, and Gracia, Juan-Miguel. "On difference linear periodic systems. I. Homogeneous case." Aplikace matematiky 28.4 (1983): 241-248. <http://eudml.org/doc/15303>.

@article{Zaballa1983,

abstract = {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.},

author = {Zaballa, Ion, Gracia, Juan-Miguel},

journal = {Aplikace matematiky},

keywords = {finite linear homogeneous system; $N$-periodic; explicit solution; asymptotic behaviour; finite linear homogeneous system; N-periodic; explicit solution; asymptotic behaviour},

language = {eng},

number = {4},

pages = {241-248},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On difference linear periodic systems. I. Homogeneous case},

url = {http://eudml.org/doc/15303},

volume = {28},

year = {1983},

}

TY - JOUR

AU - Zaballa, Ion

AU - Gracia, Juan-Miguel

TI - On difference linear periodic systems. I. Homogeneous case

JO - Aplikace matematiky

PY - 1983

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 28

IS - 4

SP - 241

EP - 248

AB - 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.

LA - eng

KW - finite linear homogeneous system; $N$-periodic; explicit solution; asymptotic behaviour; finite linear homogeneous system; N-periodic; explicit solution; asymptotic behaviour

UR - http://eudml.org/doc/15303

ER -

## References

top- N. J. Pullman, Matrix Theory and Its Applications, Marcel Dekker, Inc., New York, 1976. (1976) Zbl0339.15001MR0429941
- N. Rouche J. Mawhin, Equations Différentielles Ordinaires, Tome 1. Masson et Cie., Paris, 1973. (1973) Zbl0289.34001MR0481182
- A. Halanay, Differential Equations. Stability, Oscillations, Time Lags, Academic Press, 1966. (1966) Zbl0144.08701MR0216103

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