Recent Results on First and Second Order Difference Equations with Periodic Forcing

By using our previous results for nonexpansive sequences, we study the existence and asymptotic behavior of solutions to first order, as well as second order difference equations of monotone type with periodic forcing. In the first order case, our result extends to general maximal monotone operators, the discrete analogue of a result of Baillon and Haraux proved for subdifferential operators. In the second order case, our results extend among other things, previous results of Apreutesei to the nonhomogeneous case, and show the asymptotic convergence of every bounded solution to a periodic solution.