Dynamics of a Higher Order Rational Difference Equation
In this paper, we address the difference equation xn=pxn-s+xn-t/q+xn-t n=0,1,... with positive initial conditions where s, t are distinct nonnegative integers, p, q > 0. Our results not only include some previously known results, but apply to some difference equations that have not been investigated so far.
Yuhang Yang, Xilong Qu, Yiping Luo and Aimin Yang
Y. Yang and F. B. Lv, "Dynamics of a Higher Order Rational Difference Equation", Advanced Materials Research, Vol. 216, pp. 50-55, 2011