Dynamics and Behavior of a Second Order Rational Difference equation
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the difference equation x(n+1) = ax(n) + b + cx(n-1)/d + ex(n-1,) n = 0, 1, ... , where the parameters a,b,c,d and e are positive real numbers and the initial conditions x(-1) and x(o) are positive real numbers.
difference equations boundedness stability periodic solutions