| RESEARCH OF THE PERIODIC SOLUTION FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS |
| |
| 引用本文： | 金均.RESEARCH OF THE PERIODIC SOLUTION FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS[J].应用数学和力学(英文版),1996,17(4):387-392. |
| |
| 作者姓名： | 金均 |
| |
| 作者单位： | Shanghai Teachers University，Shanghai 200234，P.R.China |
| |
| 摘 要： | ＲＥＳＥＡＲＣＨＯＦＴＨＥＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＦＯＲＡＣＬＡＳＳＯＦ ＮＯＮＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＲＥＳＥＡＲＣＨＯＦＴＨＥＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＦＯＲＡＣＬＡＳＳＯＦＮＯＮＬＩＮＥＡＲＤＩＦＦＥ...
|
| 收稿时间： | 22 February 1995 |
Research of the periodic solution for a class of nonlinear differential equations |
| |
| Jin Jun.Research of the periodic solution for a class of nonlinear differential equations[J].Applied Mathematics and Mechanics(English Edition),1996,17(4):387-392. |
| |
| Authors: | Jin Jun |
| |
| Institution: | (1) Shanghai Teachers University, 200234 Shanghai, P. R. China |
| |
| Abstract: | In this paper,we study the existence,uniqueness and asymptotic stabgility of the periodic solution for a class of the most,universal fourth-order nonlinear nonautonomous periodic systems.We give the relevant Liapunov function by using the method of analogical slowly changing coefficients.We also give a considerably accurate estimation of the slowly changing coefficients and obtain the sufficient conditions which guarantee the existence,uniqueness and asymptotic Stability of the periodci solutions. |
| |
| Keywords: | fourth-order nonlinear system periodic solution existence and uniqueness asymptotic stability |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
