On the asymptotics of a class of nonlinear difference equations

The asymptotic form of solution is a specific solution of difference equations. It represents the rate of convergence of solution to equilibrium point of difference equations. In this paper, we investigate asymptotic form of a class of nonlinear difference equations. By asymptotic method, we show the existence of a solution of a class of difference equations converging to zero as n " 3 , and to determine its asymptotic behavior