| 一类单参数发展方程的时间周期解的分歧及其稳定性 |
| |
| 引用本文： | 李大华. 一类单参数发展方程的时间周期解的分歧及其稳定性[J]. 数学学报, 1996, 39(5): 673-680. DOI: cnki:ISSN:05831431.0.1996-05-014 |
| |
| 作者姓名： | 李大华 |
| |
| 作者单位： | 华中理工大学 |
| |
| 摘 要： | 本文应用渐近开和谱分析的方法，对发展方程的时间周期解的分歧及其稳定性进行了讨论，得到了存在性和稳定性判据的结果．
|
| 关 键 词： | 发展方程，周期解，分歧，幂级数展开，稳定性 |
| 收稿时间： | 1994-10-05 |
| 修稿时间： | 1995-11-20 |
The Bifurcation and Stability of Time-periodic Solutions for the Evolution Equation with One Parameter |
| |
| Li Dahua. The Bifurcation and Stability of Time-periodic Solutions for the Evolution Equation with One Parameter[J]. Acta Mathematica Sinica, 1996, 39(5): 673-680. DOI: cnki:ISSN:05831431.0.1996-05-014 |
| |
| Authors: | Li Dahua |
| |
| Affiliation: | Li Dahua(Huazhong University of Science and Technology,Wuhan 430074, China) |
| |
| Abstract: | In this paper we discuss the bifurcation and stability of take-periodic solutions for the evolution equation =F(t,μ,u) by using methods of asymptotic expansion and spectral analysis,and the results of existence and stability criterion were obtained. |
| |
| Keywords: | Evolution equation Periodic solution bifurcation Power series expansion Stability. |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
