ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

被引：0

作者：

Wang Wusheng ^{[1
,1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2009年 / 29卷 / 02期

关键词：

Difference equation; invariant curves; functional equation; analyticity; diophantine condition; majorant series; FUNCTIONAL-EQUATIONS; ITERATIVE EQUATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article studies the existence of analytic invariant curves for a nonlinear second order difference equation which was modeled from macroeconomics of the business cycle. The author not only discusses the case of the eigenvalue off the unit circle S-1 and the case on S-1 with the Diophantine condition but also considers the case of the eigenvalue at a root of the unity, which obviously violates the Diophantine condition.

引用

页码：415 / 426

页数：12

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