Abstract
We set the problem of the convergence of every solution of the perturbed Lyness' type order k difference equation in the title, and study partly two examples: the perturbed classical order k Lyness' equation
and the second-order difference equation in
,
, for certain domains of values for the parameters. For these two examples, we test the efficiency of a quasi-Lyapunov function method which generalizes a method introduced in a particular case by Merino.
2000 Mathematics Subject Classification::