| 非线性奇摄动方程的脉冲解 |
| |
| 引用本文： | 朱振波,林武忠.非线性奇摄动方程的脉冲解[J].华东师范大学学报(自然科学版),2009,2009(1):37-42. |
| |
| 作者姓名： | 朱振波 林武忠 |
| |
| 作者单位： | 华东师范大学数学系,上海,200062;上海高校计算科学B研究院上海交通大学研究所,上海,200030 |
| |
| 基金项目： | 国家自然科学基金，上海市教育委员会E-研究院资助项目，地理信息科学教育部重点实验室开放课题 |
| |
| 摘 要： | 对一类比较一般的施图姆-刘维尔型奇摄动问题,~%揭示了其脉冲解的存在性,~并相应地给出了脉冲解的存在性条件.~%利用边界层函数法构造其一致有效渐近解,~以及进行余项估计.~%最后通过一个例子来进一步验证前面的结论.
|
| 关 键 词： | 奇摄动 边界层函数 脉冲解 奇摄动 边界层函数 脉冲解 |
| 收稿时间： | 2008-3-21 |
| 修稿时间： | 2008-6-25 |
Spike-like solutions of nonlinear singularly perturbed equations (Chinese) |
| |
| ZHU Zhen-bo,LIN Wu-zhong.Spike-like solutions of nonlinear singularly perturbed equations (Chinese)[J].Journal of East China Normal University(Natural Science),2009,2009(1):37-42. |
| |
| Authors: | ZHU Zhen-bo LIN Wu-zhong |
| |
| Institution: | 1;2;1;2;1.Department of Mathematics;East China Normal University;Shanghai 200062;China;2.Division of Computational Science;E-institute of Shanghai Universities SJTU;Shanghai 200030;China |
| |
| Abstract: | The existence of spike-like solutions of a class of Sturm-Liouville singularly perturbed problem was investigated and its sufficient condition was given.Meanwhile, the uniformly valid asymptotic solutions were constructed by the method of boundary layer functions and remainder estimation was presented.Finally,an example was given to illustrate the obtained results. |
| |
| Keywords: | singular perturbation boundary layer functions spike-like solutions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《华东师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《华东师范大学学报(自然科学版)》下载免费的PDF全文 |
