Global Behavior Of A Class Of Rational Difference Equations Which Can Be Transformed Into Riccati Equation

In this paper, we considered the global behavior of solutions of a class of nonlinear difference equations----the rational difference equations. According to the characteristic of the equations, we obtained the rational difference equations of states under different parameters of solutions by translated into Riccati equations: (1) if?? 0 ,??0,? +?+ 1 = 0,then the exact solution was obtained by variable transform; (2)if ??0,,??0,?+?+1 ?0,then the expressions of the rational difference equations were obtained by the characteristics of the Riccati equations, as well as the singular sets and the asymptotic behaviors, and it was also proved that the solutions of the equations would eventually converge to zero or nonzero fixed point or unbounded.