کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9506547 1340751 2005 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The qualitative behavior of solutions of a nonlinear difference equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The qualitative behavior of solutions of a nonlinear difference equation
چکیده انگلیسی
This paper is concerned with the qualitative behavior of solutions to the difference equationxn+1=p+qxn-k1+xn,n=0,1,2,…,where the initial conditions x−k, …, x−1, x0 are non-negative, k ∈ {1, 2, 3, …}, and the parameters p, q are non-negative. We start by establishing the periodicity, the character of semicycles, the global stability, and the boundedness of the above mentioned equation. We also present solutions that have unbounded behavior. It is worth to mention that this difference equation is a special case of an open problem was introduced by M.R.S. Kulenovic and G. Ladas [Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman and Hall/CRC, Boca Raton, 2002]. Several computational examples are given to support our theoretical discussions. The presented numerical tests represent different types of qualitative behavior of solutions to our nonlinear difference equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 170, Issue 1, 1 November 2005, Pages 485-502
نویسندگان
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