On the periodicity of the sequence xn+1 = max{A0/xn, A1/xn-1,..., Ak/xn-k}

被引：31

作者：

Szalkai, I ^{[1
]}

机构：

[1] Univ Veszprem, Dept Math, H-8200 Veszprem, Hungary

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 1999年 / 5卷 / 01期

关键词：

difference equation; periodicity; boundedness;

D O I：

10.1080/10236199908808168

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete characterization of the behaviour of the sequence cited in the title with negative coefficients, i.e. we settle Conjecture 2.3.2 and Problem 2.3.1, and give a partial answer for Problem 2.3.2 of Ladas (J. Difference Equ. and Appl. 2 (1996) 339-341). We also give a similar argument for an already known result for the case when all the coefficients have the same fixed positive value.

引用

页码：25 / 29

页数：5

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