Displaying similar documents to “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 ) .”

On the rational recursive sequence x n + 1 = A + ∑ i = 0 k α i x n - i / ∑ i = 0 k β i x n - i

E. M. E. Zayed, M. A. El-Moneam (2008)

Mathematica Bohemica

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