Title: Boundedness, periodicity and stability of the difference equation Xn+1 = An + (Xn−1)/Xn)

Authors: Garyfalos Papaschinopoulos, Christos J. Schinas, Gesthimani Stefanidou

Addresses: School of Engineering, Democritus University of Thrace, Xanthi, 67100, Greece. ' School of Engineering, Democritus University of Thrace, Xanthi, 67100, Greece. ' School of Engineering, Democritus University of Thrace, Xanthi, 67100, Greece

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, ∞)

Keywords: difference equations; boundedness; persistence; attractivity; periodicity; asymptotic stability.

DOI: 10.1504/IJDSDE.2007.016513

International Journal of Dynamical Systems and Differential Equations, 2007 Vol.1 No.2, pp.109 - 116

Published online: 06 Jan 2008 *

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