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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.

MSC:

39A10 Additive difference equations
39A12 Discrete version of topics in analysis
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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
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[5] Sugiyama, S., On periodic solutions of difference equations, Bull. Sci. Engg. Resh. Lab. Waseda Univ., 52, 89-94 (1971)
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