Analytic invariant curves for a planar mapping

被引：0
|
作者：
Wen Rong Li
Han Ze Liu
Li Yin
机构：
[1] Binzhou University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2008年 / 24卷
关键词：
planar mapping; invariant curves; analytic solution; Majorant series; 39B12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the existence of analytic invariant curves for a planar mapping. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained. In this paper, we discuss not only the general case, but also the critical cases as well, in particular, the case where β is a unit root is discussed.
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页码：623 / 630
页数：7
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