TY  - JOUR
TI  - Dynamics of the nonlinear rational difference equation $x_{n+1} = Ax_n + Bx_{n−k} + frac{px_n+x_{n−k}}{q+x_{n−k}}$
AB  - In this article, we study the global stability and the asymptotic properties of the nonnegative solutions of the nonlinear difference equation $x_{n+1} = Ax_n + Bx_{n−k} + frac{px_n+x_{n−k}}{q+x_{n−k}}$, n = 0,1,2, ..... where the parameters A, B, p, q and the initial conditions $x_{−k},...,x_{−1}, x_0$ are arbitrary nonnegative real numbers, while k is a positive integer number. Some numerical examples will be given to illustrate our results. 2000 Mathematics Subject Classifications: 39A10,39A11,39A99,34C99
AU  - ZAYED, E. M. E.
PY  - 2010
JO  - European Journal of Pure and Applied Mathematics (elektronik)
VL  - 3
IS  - 2
SN  - 1307-5543
SP  - 0
EP  - 0
DB  - TRDizin
UR  - http://search/yayin/detay/115848
ER  -