Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 )

Authors

1 Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

2 Department of Mathematics, Faculty of Science Arish, Suez Canal University, 41522, Ismailia, Egypt

Abstract

In this paper, we investigate the global attractivity of the difference equation
x n +1 =
A − Bx n −2
C + Dx n −1
, n = 0 , 1 , . . . ,
where A , B are nonnegative real numbers, C , D are positive real numbers and C + Dx n −1  = 0 for all
n ≥ 0.

Keywords