ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

作者：Wang Wusheng^*

来源：Acta Mathematica Scientia, 2009, 29(2): 415-426.

DOI：10.1016/s0252-9602(09)60041-2

• Difference equation
• invariant curves
• functional equation
• analyticity
• diophantine condition
• majorant series

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.

• 出版日期2009-3
• 单位河池学院