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, Page 392-395 PDF (301.97 K) | ||||
DOI: 10.1016/j.joems.2015.08.004 | ||||
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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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