ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

被引：0

作者：

王五生

机构：

[1] Wang Wusheng Department of Mathematics,Hechi University

[2] Department of Mathematics,Sichuan University

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;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

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 S1 and the case on S1 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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