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Title: Dynamics of a Kth order rational difference equation
Authors: Saleh, Mohammad
Abu Baha, Sai'da
Keywords: Nonlinear difference equations;Integro-differential equations - Asymptotic theory
Issue Date: 2006
Publisher: Applied Mathematics and Computation
Source: 45
Abstract: In this paper, we will investigate a nonlinear rational difference equation of higher order. Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of It is worth to mention that our results solve the open problem proposed by Kulenvic and Ladas in their monograph [Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures, Chapman & Hall/CRC, Boca Raton, 2002].
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