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Positive periodic solutions of higher-dimensional functional difference equations with a parameter. (English) Zbl 1042.39005
The authors consider the problem of existence of positive periodic solutions of a periodic difference equation with delay. The associated linear homogeneous system is uniform-asymptotically stable. Kranoselskii’s fixed point theorem as well as the method of upper and lower solutions are effectively used.

MSC:
39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
34K13 Periodic solutions to functional-differential equations
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