Global stability of a rational difference equation
نویسندگان
چکیده
We consider the higher-order nonlinear difference equation xn 1 p qxn−k / 1 xn rxn−k , n 0, 1, . . . with the parameters, and the initial conditions x−k, . . . , x0 are nonnegative real numbers. We investigate the periodic character, invariant intervals, and the global asymptotic stability of all positive solutions of the above-mentioned equation. In particular, our results solve the open problem introduced by Kulenović and Ladas in their monograph see Kulenović and Ladas, 2002 .
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 190 شماره
صفحات -
تاریخ انتشار 2007