Periodicity of some classes of holomorphic difference equations

被引：48

作者：

Berg, Lothar

Stevic, Stevo

机构：

[1] Serbian Acad Sci, Inst Math, Belgrade 11000, Serbia

[2] Univ Rostock, Inst Math, D-18501 Rostock, Germany

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2006年 / 12卷 / 08期

关键词：

Difference equation; Holomorphic solution; p-Periodic solution; Symmetric systems;

D O I：

10.1080/10236190600761575

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the periodicity character of some classes of difference equations. Among other results, we give a simpler proof of an Open Problem addressed in Csornyei and Laczkovich, 2001, "Some periodic and non-periodic recursions", Monath. Math., 132, 215-236. We also consider Open Problem 2.8 in Grove and Ladas, 2005, Periodicities in Nonlinear Difference Equations, (Chapman and Hall/CRC), and the case when a difference equation has periodic solutions depending on arbitrary parameters.

引用

页码：827 / 835

页数：9

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