Could anyone help me to solve the equation
$x_{k+1} = x_{k} (a x_{k} + b)$,
for find the explicit solution of $x_{k}$?
BTW. Do you know a GOOD book for the classification for non linear difference equation? I've looked for something but most part speaks about the linear case, but i know there's some kind of classification like differential equation.
PS. i've fixed the mistake... sorry