Content of review 1, reviewed on April 12, 2019

The authors establish some conditions on the parameters $a,b,c,d$ in order that the system $x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})$ has a period two solution or an stable fixed point. They also show the unboundedness of the solutions when $a=b=c=d=1$. (Reviewed for MathReviews, MathSciNet, 2007).

Source

    © 2019 the Reviewer (CC BY 4.0).

References

    M., E. E., H., E., M., E. E. 2006. On the difference equation x(n+1)=a(xn)-b(xn)/(c(xn)-dx(n-1)). Advances in Difference Equations.