On difference equations with powers as solutions and their connection with invariant curves

被引：24

作者：

Berg, Lothar ^{[2
]}

Stevic, Stevo ^{[1
]}

机构：

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

[2] Univ Rostock, Inst Math, D-18051 Rostock, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 17期

关键词：

Difference equation; Functional equation; Power functions; Self-reversed polynomials; ASYMPTOTICS;

D O I：

10.1016/j.amc.2011.02.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We look for nonlinear systems of difference equations which have power functions as solutions and we find a connection to the theory of invariant curves and to self-reversed polynomials. In particular, we construct algebraic solutions of a special equation of invariant curves. (c) 2011 Elsevier Inc. All rights reserved.

引用

页码：7191 / 7196

页数：6

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[3]

Berg L, 2002, Z ANAL ANWEND, V21, P1061

[4]

BERG L, 2001, J ANAL APPL, V20, P475