ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

doi:10.1016/S0252-9602(09)60041-2

数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 415-426.doi: 10.1016/S0252-9602(09)60041-2

ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

王五生

Department of Mathematics, Hechi University, Yizhou 546300, China
Department of Mathematics, Sichuan University, Chengdu 610064, China

收稿日期:2006-12-13 修回日期:2007-03-15 出版日期:2009-03-20 发布日期:2009-03-20
基金资助:
Project supported by the Fund of Educational Reform Project of Guangxi Province of China (200710961), the Scientific Research Foundation of the Education Department of Guangxi Province of China (200707MS112), the Natural Science Fund of Hechi University (2006N001), and the fund of Key discipline of applied mathematics of Hechi University (200725)

ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

Wang Wusheng

Department of Mathematics, Hechi University, Yizhou 546300, China
Department of Mathematics, Sichuan University, Chengdu 610064, China

Received:2006-12-13 Revised:2007-03-15 Online:2009-03-20 Published:2009-03-20
Supported by:
Project supported by the Fund of Educational Reform Project of Guangxi Province of China (200710961), the Scientific Research Foundation of the Education Department of Guangxi Province of China (200707MS112), the Natural Science Fund of Hechi University (2006N001), and the fund of Key discipline of applied mathematics of Hechi University (200725)

摘要/Abstract

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.

关键词: Difference equation, invariant curves, functional equation, analyticity, dio-phantine condition, majorant series

Abstract:

Key words: Difference equation, invariant curves, functional equation, analyticity, dio-phantine condition, majorant series

中图分类号:

39A10

王五生. ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION[J]. 数学物理学报(英文版), 2009, 29(2): 415-426.

Wang Wusheng. ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION[J]. Acta mathematica scientia,Series B, 2009, 29(2): 415-426.

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ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

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