| 求Duffing方程周期解的Mountain Pass方法 |
| |
| 引用本文： | 刘淑媛,吕显瑞,齐毅. 求Duffing方程周期解的Mountain Pass方法[J]. 吉林大学学报(理学版), 2007, 45(4): 519-523 |
| |
| 作者姓名： | 刘淑媛 吕显瑞 齐毅 |
| |
| 作者单位： | 吉林大学,数学学院,长春,130012;吉林商业高等专科学校,长春,130062;吉林大学,数学学院,长春,130012;吉林商业高等专科学校,长春,130062 |
| |
| 摘 要： | 研究一类超线性Duffing方程周期解的存在性及其数值求解方法. 利用山路引理证明了超线性Duffing方程周期解的存在性, 并给出一种求Duffing方程周期解的Mountain Pass算法及其具体算例.
|
| 关 键 词： | 山路引理 临界点 P.S.条件 Mountain Pass算法 超线性Duffing方程 |
| 文章编号： | 1671-5489（2007）04-0519-05 |
| 收稿时间： | 2006-10-30 |
| 修稿时间： | 2006-10-30 |
Numerical Mountain Pass Periodic Solutions of a Duffing Equation |
| |
| LIU Shu-yuan,L Xian-rui,QI Yi. Numerical Mountain Pass Periodic Solutions of a Duffing Equation[J]. Journal of Jilin University: Sci Ed, 2007, 45(4): 519-523 |
| |
| Authors: | LIU Shu-yuan L Xian-rui QI Yi |
| |
| Affiliation: | 1. College of Mathematics, Jilin University, Changchun 130012, China; 2. Jilin Commercial College, Changchun 130062, China |
| |
| Abstract: | The existence of periodic solutions and numerical solution method were investigated. By means of Mountain Pass lemma, the existence of for superlinear Duffing equations periodic solutions of superlinear Duffing equations was proved. Furthermore a Mountain Pass algorithm for solutions of the Duffing equations and a concrete example were given. |
| |
| Keywords: | Mountain Pass theorem Critical points P. S. conditions Mountain Pass algorithm superlinear Duffing equations |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
