中心与焦点判定定理证明之补充  

Complement to a Proof of Discriminating Theorem on Center and Focus

作　　者：韩茂安[1] 

机构地区：[1]上海师范大学数学研究所,上海200234

出　　处：《大学数学》2011年第1期142-147,共6页College Mathematics

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.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.

关 键 词：中心 焦点 判定 Poincare形式级数 

分 类 号：O175.1[理学—数学]