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**Periodic solutions of first order linear difference equations.**
*(English)*
Zbl 0871.39002

Summary: We set together various basic statements on the periodicity of the solutions of first order linear difference equations. Next we define various sequences which are in a sense connected with the concept of periodicity. Finally, we formulate a decomposition theorem for the solutions of first order linear difference equations with periodic coefficients.

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\textit{R. P. Agarwal} and \textit{J. Popenda}, Math. Comput. Modelling 22, No. 1, 11--19 (1995; Zbl 0871.39002)

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### References:

[1] | Agarwal, R. P., Difference Equations and Inequalities (1992), Marcel Dekker: Marcel Dekker New York · Zbl 0784.33008 |

[2] | Kocic, V. L.; Ladas, G., Global Behavior of Nonlinear Difference Equations of Higher Order with Applications (1993), Kluwer: Kluwer Dordrecht · Zbl 0787.39001 |

[3] | Lakshmikantham, V.; Trigiante, D., Theory of Difference Equations: Numerical Methods and Applications (1988), Academic Press: Academic Press New York · Zbl 0683.39001 |

[4] | Pang, P. Y.H.; Agarwal, R. P., Periodic boundary value problems for first and second order discrete systems, Mathl. Comput. Modelling, 16, 10, 101-112 (1992) · Zbl 0767.65094 |

[5] | Sugiyama, S., On periodic solutions of difference equations, Bull. Sci. Engg. Resh. Lab. Waseda Univ., 52, 89-94 (1971) |

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