| 一类具有边界摄动的非线性问题的渐近解及其可解性条件 |
| |
| 引用本文： | 唐荣荣. 一类具有边界摄动的非线性问题的渐近解及其可解性条件[J]. 高校应用数学学报(A辑), 2007, 22(2): 167-172 |
| |
| 作者姓名： | 唐荣荣 |
| |
| 作者单位： | 湖州师范学院,理学院,浙江湖州,313000;上海高校计算科学E-研究院,上海交通大学研究所,上海,200240 |
| |
| 基金项目： | 国家自然科学基金 , 浙江省自然科学基金 , 上海市教委资助项目 |
| |
| 摘 要： | 利用摄动理论,讨论一类具有边界摄动的非线性问题.在适当的条件下,得出了这类问题的渐近解及其可解性条件,推广了一类近乎圆膜的振动问题所得的结果.
|
| 关 键 词： | 边界摄动 非线性 可解性条件 渐近解 |
| 文章编号： | 1000-4424（2007）02-0167-06 |
| 收稿时间： | 2005-02-23 |
| 修稿时间： | 2005-02-23 |
Asympotic solution and solvable conditions for a class of nonlinear problem with boundary perturbation |
| |
| TANG Rong-rong. Asympotic solution and solvable conditions for a class of nonlinear problem with boundary perturbation[J]. Applied Mathematics A Journal of Chinese Universities, 2007, 22(2): 167-172 |
| |
| Authors: | TANG Rong-rong |
| |
| Affiliation: | 1.Faculty of Sciences ,Huzhou Teachers College, Huzhou 313000, China;2.Division of Computational Science, E-Institue of Shanghai Universities, at SJTU ,Shanghai 200240, China |
| |
| Abstract: | Using the perturbation theory,a class of nonlinear problem with boundary perturbation is considered.Under the appropriate conditions,the asymptotic solution and its existence conditions are obtained,the results for a class of quasi-circular membrane oscillation problem is extended. |
| |
| Keywords: | boundary perturbation nonlinear solvability condition asymptotic solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
