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
收藏
页码：827 / 835
页数：9
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