As a nontrivial application of the abstract theorem developed in our recent paper titled\nâ??Limit-periodic solutions of difference and differential systems without global Lipschitzianity\nrestricitionsâ?, the existence of limit-periodic solutions of the difference equation from the title is\nproved, both in the scalar as well as vector cases. The nonlinearity h is not necessarily globally\nLipschitzian. Several simple illustrative examples are supplied.
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