Global Dynamics for a Higher Order Rational Difference Equation
نویسندگان
چکیده
In this paper, some properties of all positive solutions are considered for a higher order rational difference equation, mainly for the existence of eventual prime period two solutions, the existence and asymptotic behavior of nonoscillatory solutions and the global asymptotic stability of its equilibria. Our results show that a positive equilibrium point of this equation is a global attractor under appropriate conditions and that the origin of this equation is globally asymptotically stable. Our results also give an answer to the problem in [9].
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Dynamics of higher order rational difference equation $x_{n+1}=(alpha+beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$
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