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.


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