In this paper the global attractivity of the nonlinear difference equationis investigated, where a,b, A ∈ (0, ∞), k is an positive integer and the initial conditions equilibrium of the equation is global attractive. As a corollary, the result gives a positive confirmation on the conjecture presented by Kocic and Ladas [1,p154].
The asymptotic behavior of a class of nonlinear delay difference equation was studied. Some sufficient conditions are obtained for permanence and global attractivity . The results can be applied to a clays of nonlinear delay difference equations and to the delay discrete Logistic model and some known results are included.
