Convergence of the Solutions for a Neutral Difference Equation with Negative Coefficients

In this paper, we investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form

where τj (n), j = 1, . . . , w are general retarded arguments, σ(n) is a general deviated argument, [###] is a sequence of positive real numbers such that p(n) ≥ p, p ∈ R+, and Δ denotes the forward difference operator Δx(n) = x(n + 1) − x(n).