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Title: On the rational difference equation y n +1 = A + y n / y n-k
Authors: Saleh, Mohammad
Aloqeili, Marwan
Keywords: Differential equations - Asymptotic theory
Recurrent sequences (Mathematics)
Issue Date: 15-Dec-2005
Publisher: Applied mathematics and computation
Citation: 45
Abstract: We find conditions for the global asymptotic stability of the unique negative equilibrium y- = 1 + A of the equation yn+1 = A + yn/yn-k, where y-k, y-k+1,...,y0, A ∈ R, and k ∈ {1,2,3,4,...}
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