On the Rational Recursive Sequence x n + 1 = ( A + ∑ i = 0 k α i x n − i ) / ( B + ∑ i = 0 k β i x n − i )

E. M. E. Zayed and M. A. El-Moneam

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-12

Abstract:

The main objective of this paper is to study the boundedness character, the periodic character, the convergence, and the global stability of the positive solutions of the difference equation x n + 1 = ( A + ∑ i = 0 k α i x n − i ) / ( B + ∑ i = 0 k β i x n − i ) , n = 0 , 1 , 2 , … , where A , B , α i , β i and the initial conditions x − k , ... , x − 1 , x 0 are arbitrary positive real numbers, while k is a positive integer number.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:023618

DOI: 10.1155/2007/23618

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