Analytical Study of a Class of Rational Difference Equations

Fethi Kadhi, Malek Ghazel

We obtain the solution of the fourth order difference equation $$x_{n+1}=\frac{\alpha x_{n-3}}{A+B{x}_{n-1}{x}_{n-3}}$$ with the initial conditions; $x_{-3}=d,$ $x_{-2}=c,$ $x_{-1}=b,$ an…