On the Recursive Sequence xn+1=max{xn,A}xn2xn−1

الملخص EN

We investigate the periodic nature of the solution of the max-type difference equation xn+1=max{xn,A}/xn2xn-1, n=0,1,2,…, where the initial conditions are x-1=Ar1 and x0=Ar2 for A∈(0,∞), and that r1 and r2 are positive rational numbers.

The results in this paper solve the Open Problem proposed by Grove and Ladas (2005).