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.
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页码：415 / 426
页数：12
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