Advances in Difference Equations (Jan 2006)
On the Difference equation <it>x</it><sub><it>n</it>+</sub> = <it>ax</it><sub><it>n</it></sub> - <it>bx</it><sub><it>n</it></sub>/(<it>cx</it><sub><it>x</it></sub> - <it>dx</it><sub><it>n</it>-1</sub>)
Abstract
We investigate some qualitative behavior of the solutions of the difference equation xn+ = axn - bxn/(cxx - dxn-1), n = 0,1,..., where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants.