Solvable subclasses of a class of nonlinear second-order difference equations

Abstract

We present some solvable subclasses of the class of nonlinear second-order difference equations of the form (Equation Presented) where the parameters A, B, C, D, E, F, G and the initial values x-1, x0 are real numbers. This difference equation is a natural extension of the nonhomogeneous linear second-order difference equation with constant coefficients as well as of the bilinear difference equation with constant coefficients.