Global attractivity of a higher-order nonlinear difference equation
نویسندگان
چکیده
In this paper, we investigate the global attractivity of negative solutions of the nonlinear difference equation xn+1 = 1− xn−k A + xn , n = 0, 1, . . . , where A ∈ (−∞, 0), k is a positive integer and initial conditions x−k, · · · , x0 are arbitrary real numbers. We show that the unique negative equilibrium of abovementioned equation is a global attractor with a basin under certain conditions. AMS Subject Classifications: 39A10.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 216 شماره
صفحات -
تاریخ انتشار 2010