کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636866 1340729 2006 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global stability of a higher order rational recursive sequence
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global stability of a higher order rational recursive sequence
چکیده انگلیسی

In this paper, we study the qualitative behavior of solutions of the class of delay difference equationxn+1=βxn-k+1+γxn-2k+1A+Bxn-k+1,n=0,1,2,…,where the initial conditions x−2k+1, … , x−1, x0 are positive, k ∈ {1, 2, …}, and the parameters β, γ, A, B are positive. Our concentration is on invariant intervals and the global stability of the above mentioned equation. We obtain sufficient conditions for the global attractivity of all positive solutions about the zero and positive equilibrium points with basins that depend on specific conditions posed on the coefficients. Furthermore, the oscillation and the character of semicycles about the positive equilibrium are thoroughly discussed. It is also illustrated that for some special case of parameters, the solution will be either a period-2 solution, or will converge to the equilibrium point, or will have unbounded solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 179, Issue 1, 1 August 2006, Pages 161–174
نویسندگان
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