| 中心与焦点判定定理证明之补充 |
| |
| 引用本文： | 韩茂安.中心与焦点判定定理证明之补充[J].大学数学,2011,27(1):142-147. |
| |
| 作者姓名： | 韩茂安 |
| |
| 作者单位： | 上海师范大学,数学研究所,上海,200234 |
| |
| 摘 要： | 中心与焦点判定问题的研究是微分方程定性理论课程教学的重要内容之一,然而我们发现在近30年出版的10多种国内外教材中对其中一个主要定理的涉及Poincare形式级数的证明均有缺陷,本文之目的就是对这一证明做了完整的补充.
|
| 关 键 词： | 中心 焦点 判定 Poincare形式级数 |
Complement to a Proof of Discriminating Theorem on Center and Focus |
| |
| HAN Mao-an.Complement to a Proof of Discriminating Theorem on Center and Focus[J].College Mathematics,2011,27(1):142-147. |
| |
| Authors: | HAN Mao-an |
| |
| Institution: | HAN Mao-an(The Institute of Mathematics,Shanghai Normal University,Shanghai 200234,China) |
| |
| Abstract: | The discrimination of center and focus for planar differential systems is an important part in the study of qualitative theory of differential equations.However,we found that there is a gap in a proof of a theorem in this aspect which appears in more than ten textbooks published in recent 30 years.The aim of this paper is to complement the gap to the proof of the theorem. |
| |
| Keywords: | center focus discrimination Poincare series |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
