Boundedness and asymptotic behavior results for nonlinear difference equations with positive and negative coefficients

This paper is concerned with the nonlinear delay difference equations with positive and negative coefficients x(n + 1) − x(n) + p(n)f (x(n − k)) − q(n)f (x(n − l)) = 0, n ≥ n0. (∗) Sufficient conditions are obtained under which every solution of Eq. (∗) is bounded and tends to a constant as n → ∞.