Stability and Solutions for Rational Recursive Sequence of Order Three
In this paper we deal with the behavior of the local stability, global attractor and boundedness of solutions of the following difference equation x(n+1) = ax(n-1) + bx(n-1)x(n-2)/cx(n) + dx(n-2), n = 0,1, ..., where the initial conditions x(-2), x(-1), x(0) are arbitrary positive real numbers and a,b,c,d are constants. Also, we give a specific form of solution of four special cases of this equation.
stability global attractor boundedness periodicity solution of difference equations