| 一类具有非整数幂的非线性奇异摄动内层问题 |
| |
| 引用本文： | 唐荣荣.一类具有非整数幂的非线性奇异摄动内层问题[J].应用数学学报,2007,30(2):297-303. |
| |
| 作者姓名： | 唐荣荣 |
| |
| 作者单位： | 湖州师范学院数学系,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： | 在适当的条件下,利用微分不等式以及内部层校正理论,研究了一类具有非整数幂的非线性奇异摄动内层问题．较简捷地证明了解的存在性,且对其解做出了估计,得出了其渐近解在0,1]上的一致有效展开式．
|
| 关 键 词： | 非线性 奇异摄动 内层问题 微分不等式 |
| 修稿时间： | 2005-09-19 |
A Class of Nonlinear Singularly Perturbed Interior Layer Problems with Non-integral Power |
| |
| TANG RONGRONG.A Class of Nonlinear Singularly Perturbed Interior Layer Problems with Non-integral Power[J].Acta Mathematicae Applicatae Sinica,2007,30(2):297-303. |
| |
| Authors: | TANG RONGRONG |
| |
| Institution: | 1Huzhou Teachers College, Huzhou 313000;2Division of Computational Science, E-Institute of Shanghai Universities, at Shanghai Jiaotong University, Shanghai 200240 |
| |
| Abstract: | In this paper,a class of singularly perturbed interior layer problems are con- sidered.By the theory of differential inequalities and the correction of interior layer,under appropriate assumptions,the existence of solution is proved and the uniformly valid asymp- totic expansion is obtained as well. |
| |
| Keywords: | nonlinear singular perturbation interior layer problem differential inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
