| 函数不连续的二阶拟线性奇摄动边值问题 |
| |
| 引用本文： | 丁海云,倪明康.函数不连续的二阶拟线性奇摄动边值问题[J].纯粹数学与应用数学,2010,26(5):768-775,803. |
| |
| 作者姓名： | 丁海云 倪明康 |
| |
| 作者单位： | 华东师大数学系,上海,200062;上海海事大学数学系,上海,200135;华东师大数学系,上海,200062;上海高校计算科学E-研究院上海交大研究所,上海,200240 |
| |
| 基金项目： | 国家自然科学基金，上海市自然科学基金，生物大分子国家重点实验室;上海市教育委员会E-研究院建设项目 |
| |
| 摘 要： | 讨论了函数不连续情况下二阶拟线性奇摄动边值问题,用边界层函数法和轨道的光滑缝接,构造了问题的形式渐近解,并在整个区间上证明了形式渐近解的一致有效性,把吉洪诺夫系统中的函数光滑条件推广到了不连续情况.
|
| 关 键 词： | 奇摄动 渐近级数 边界层函数法 微分流形 |
Singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function |
| |
| DING Hai-yun,NI Ming-kan.Singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function[J].Pure and Applied Mathematics,2010,26(5):768-775,803. |
| |
| Authors: | DING Hai-yun NI Ming-kan |
| |
| Institution: | DING Hai-yun1,2,NI Ming-kan1,3(1.Department of Mathematics,East China Normal University,Shanghai 200062,China,2.Department of Mathematics,Shanghai Maritime University,Shanghai 200135,3.Division of Computational Science,E-institute of Shanghai Jiaotong University,Shanghai 200030,China) |
| |
| Abstract: | A class of singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function is discussed in this paper. Using the method of boundary layer functions and sewing orbit smooth, the asymptotic solution of this problem is shown and proved to be uniformly effective in the whole interval. This paper extend the function＇s smooth condition in Tikihov system to discontinuous case. |
| |
| Keywords: | singular perturbation asymptotic expansion boundary layer function invariable manifold |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
