Boundedness, periodicity and stability of the difference equation Xn+1 = An + (Xn−1)/Xn) Online publication date: Sun, 06-Jan-2008
by Garyfalos Papaschinopoulos, Christos J. Schinas, Gesthimani Stefanidou
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 1, No. 2, 2007
Abstract: This paper studies the boundedness, the persistence, the periodicity and the stability of the positive solutions of the non-autonomous difference equation: Xn+1 = An + (Xn−1)/Xn)p where An is a positive bounded sequence, p ∈ (0, 1) ∪ (1, ∞) and X1, X0 ∈ (0, ∞)
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