| Abel方程闭解的个数问题及应用 |
| |
| 引用本文： | 王国栋,陈文成.Abel方程闭解的个数问题及应用[J].系统科学与数学,2005,25(6):693-699. |
| |
| 作者姓名： | 王国栋 陈文成 |
| |
| 作者单位： | 1. 山东财政学院统计与数理学院,济南,250014
2. 山东农业大学信息科学与工程学院,泰安,271019 |
| |
| 摘 要： | 讨论Abel方程闭解的存在性、个数和稳定性,改进了以前文献的结果,并利用关于Abel方程的这些结果得到了一类n次多项式系统在一定条件下极限环的个数和稳定性．
|
| 关 键 词： | Abel方程 多项式系统 闭解 极限环 |
| 修稿时间： | 2003年10月27 |
THE NUMBER OF ABEL EQUATION'S CLOSED SOLUTIONS AND ITS APPLICATION |
| |
| Wang Guodong,Chen Wencheng.THE NUMBER OF ABEL EQUATION''''S CLOSED SOLUTIONS AND ITS APPLICATION[J].Journal of Systems Science and Mathematical Sciences,2005,25(6):693-699. |
| |
| Authors: | Wang Guodong Chen Wencheng |
| |
| Institution: | (1)College of Statistic and Science, Shandong Finance Institute, Jinan 250014;(2)College of Information Science and Engineering, Shandong Agriculture University, Taian 271019 |
| |
| Abstract: | In this paper, the existence, number and stability of Abel equation's closed solutions axe discussed, and the results in previous papers axe improved. Moreover, the number and stability of the limit cycles of a class of polynomial system with degree n are studied under some conditions by means of the results about Abel equation. |
| |
| Keywords: | Abel equation polynomial system closed solution limit cycle |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
