Global Behavior of a Second Order Difference Equation with Two-Period Coefficient

In this paper, we present a detailed study of the following difference equation x(n+1) = alpha(n)/1 + x(n)x(n-1), n is an element of N-0, where the sequence (alpha(n))(n)(>= 0)( )is positive, real, periodic with period two and the initial values x(-1), x(0) are nonnegative real numbers. By this study, we determine global behavior of positive solutions of the above mentioned equation. We also give closed forms of its general solution.