| 非线性奇摄动Robin边值问题解的渐近分析 |
| |
| 引用本文： | 汪志鸣. 非线性奇摄动Robin边值问题解的渐近分析[J]. 华东师范大学学报(自然科学版), 1995, 0(1): 4-14 |
| |
| 作者姓名： | 汪志鸣 |
| |
| 作者单位： | 上海华东师范大学数学系 |
| |
| 摘 要： | 本文用间接的方法证明了一类非线性奇摄动方程组的Ｒｏｂｉｎ问题解的存在唯一性，给出解对ε任意精确度的一致有效展开，并把结果推广到更一般的边值条件。
|
| 关 键 词： | 奇摄动 渐近分析 非线性 边值问题 |
Asymptotic Analysis of a Nonlinear Singularly Perturbed Robin Boundary Value Problem |
| |
| Wang Zhiming. Asymptotic Analysis of a Nonlinear Singularly Perturbed Robin Boundary Value Problem[J]. Journal of East China Normal University(Natural Science), 1995, 0(1): 4-14 |
| |
| Authors: | Wang Zhiming |
| |
| Abstract: | An indirect proof of existence and uniqueness is given for solutions of the Robin problem for the singularly perturbed nonlinear equation system in this paper. A proposed asymptotic expantion of a solution,as provided by the Vasileva construction,is uniformly available throughout the entire compact interval. Meanwile,this paper also extends the result to a general boundary-value condition subject to a certain assumption. |
| |
| Keywords: | singular perturbation asymptotic analysis boundary layer function |
| 本文献已被 CNKI 维普 等数据库收录！ |
