On the global behavior of the rational difference equation \(y_{n+1}=\frac{\alpha_n+y_{n-r}}{\alpha_n+y_{n-k}}\)

Q1 Mathematics
Sihem Oudi̇na, M. Kerker, Abdelouahab Salmi
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引用次数: 0

Abstract

In this article, we study the global behavior of the following higher-order nonautonomous rational difference equation \[ y_{n+1}=\frac{\alpha_n+y_{n-r}}{\alpha_n+y_{n-k}},\quad n=0,1,..., \] where \(\left\{\alpha_n\right\}_{n\geq0}\) is a bounded sequence of positive numbers, \(k,r\) are nonnegative integers such that \(r
有理差分方程的全局行为 \(y_{n+1}=\frac{\alpha_n+y_{n-r}}{\alpha_n+y_{n-k}}\)
本文研究了一类高阶非自治有理差分方程\[y_{n+1}=\frac{\alpha_n+y_{n-r}}{\alpha_n+y_{n-k}},\quad n=0,1,…,其中\(\left\{\alpha_n\right\}_{n\geq0}\)是正数的有界序列,\(k,r\)是非负整数,使得\(r
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Results in Nonlinear Analysis
Results in Nonlinear Analysis Mathematics-Mathematics (miscellaneous)
CiteScore
1.60
自引率
0.00%
发文量
34
审稿时长
8 weeks
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