research article
oaioai:fada.birzeit.edu:20.500.11889/3985

Dynamics of a Kth order rational difference equation

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Publication date
1 January 2006
Publisher
Applied Mathematics and Computation
Doi

    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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