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 equation(∗)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→∞n→∞.