| 一类多偏差变元的二阶微分方程周期解问题 |
| |
| 引用本文： | 鲁世平,葛渭高.一类多偏差变元的二阶微分方程周期解问题[J].系统科学与数学,2005,25(2):216-227. |
| |
| 作者姓名： | 鲁世平 葛渭高 |
| |
| 作者单位： | 1. 安徽师范大学数学系,芜湖,241000
2. 北京理工大学数学系,北京,100081 |
| |
| 基金项目： | 国家自然科学基金(10371006)资助课题. |
| |
| 摘 要： | 作者利用重合度原理研究了一类多偏差变元的二阶微分方程■周期解问题.得到了有关周期解存在性的新的结果
|
| 关 键 词： | 周期解 延拓定理 偏差变元 |
| 修稿时间： | 2002年6月12日 |
PERIODIC SOLUTIONS FOR A KIND OF SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS |
| |
| LU Shiping,Ge Weigao.PERIODIC SOLUTIONS FOR A KIND OF SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS[J].Journal of Systems Science and Mathematical Sciences,2005,25(2):216-227. |
| |
| Authors: | LU Shiping Ge Weigao |
| |
| Institution: | (1)Deptment of Mathematics, Anhui Normal University, Wuhu, Anhui 241000;(2)Deptment of Mathematics, Beijing Institute of Technology, Beijing 100081 |
| |
| Abstract: | By means of the continuation theorem of coincidence degree theory, a kind of second order functional differential equation
with multiple deviating arguments as follows$$x'(t)+\sum\limits_{j=1}^n\beta_j(t)g(x(t-\tau_j(t)))=e(t)$$
is studied. Some new results on the existence
of periodic solutions are obtained. |
| |
| Keywords: | periodic solution continuation theorem deviating argument |
| 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 |
