Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 )
Ahmed, A., Eshtewy, N. (2016). Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 ). EKB Journal Management System, 24(3), 392-395. doi: 10.1016/j.joems.2015.08.004
A. M. Ah Ahmed; N. A. Eshtewy. "Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 )". EKB Journal Management System, 24, 3, 2016, 392-395. doi: 10.1016/j.joems.2015.08.004
Ahmed, A., Eshtewy, N. (2016). 'Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 )', EKB Journal Management System, 24(3), pp. 392-395. doi: 10.1016/j.joems.2015.08.004
Ahmed, A., Eshtewy, N. Attractivity of the recursive sequence xn+1(A −Bx n −2 ) / (C + Dx n −1 ). EKB Journal Management System, 2016; 24(3): 392-395. doi: 10.1016/j.joems.2015.08.004

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

Journal of the Egyptian Mathematical Society
Volume 24, Issue 3, 2016, Pages 392-395    PDF (301.97 K)
DOI: 10.1016/j.joems.2015.08.004
Authors
A. M. Ah Ahmed1; N. A. Eshtewy2
1Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
2Department 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
Difference equation; Attractivity; Basin of attraction
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