On the global asymptotic stability for a rational recursive sequence

	On the global asymptotic stability for a rational recursive sequence
Iranian Journal of Science
مقاله 10، دوره 35، شماره 4، بهمن 2011، صفحه 333-339 اصل مقاله (144.41 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2159
نویسندگان
E. M. E. Zayed¹؛ A. El-Moneam^* ²
¹Mathematics Department, Faculty of Science and Arts, Jazan University, Farasan, Jazan, Kingdom of Saudi Arabia
²Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt Present address: Mathematics Department, Faculty of Science and Arts, Jazan University, Farasan, Jazan, Kingdom of Saudi Arabia
چکیده
The main objective of this paper is to study the boundedness character, the periodicity character, the convergence and the global stability of the positive solutions of the nonlinear rational difference equation / , n 0,1,2,.... 0 0 1                     k i i n i k i n i n i x  x B  x where the coefficients i i B , ,  together with the initial conditions ,.... , , 1 0 x x x k  are arbitrary positive real numbers, while k is a positive integer number.
کلیدواژه‌ها
Difference equations؛ boundedness character؛ prime period two solution؛ global stability؛ convergence

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