Hyers-Ulam stability of Pielou logistic difference equation

We investigate Hyers-Ulam stability of the first order difference equation xi+1 = axi +b / cxi + d , where ad − bc = 1, c ≠ 0 and |a + d| 2. It has Hyers-Ulam stability if the initial point x0 lies in some definite interval of R. The condition |a + d| 2 implies that the above recurrence is a natural generalization of Pielou logistic difference equation.