Abstract
We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate assumptions, where b ∈ [0, ∞), k ≥ 1, i0, i1,...,i2k ∈ {0,1,...} with i0 <i1 < ... <i2k, the initial conditions
. We prove that unique equilibrium
of that equation is globally asymptotically stable.