Periodic solutions to nonautonomous difference equations.

@article{Clark1990PeriodicST,
  title={Periodic solutions to nonautonomous difference equations.},
  author={M. E. Clark and Louis J. Gross},
  journal={Mathematical biosciences},
  year={1990},
  volume={102 1},
  pages={
          105-19
        }
}
A technique is presented for determining when periodic solutions to nonautonomous periodic difference equations exist. Under certain constraints, stable periodic solutions can be guaranteed to exist, and this is used to compare the analogous behavior of a nonautonomous periodic hyperbolic difference equation to that of the nonautonomous periodic Pearl-Verhulst logistic differential equation. 

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