| 一类具有混合边界条件的奇摄动半线性边值问题 |
| |
| 引用本文： | 黄香蕉,刘树德,龚灏,卢玉蓉.一类具有混合边界条件的奇摄动半线性边值问题[J].四川大学学报(自然科学版),2005,42(3):455-458. |
| |
| 作者姓名： | 黄香蕉 刘树德 龚灏 卢玉蓉 |
| |
| 作者单位： | 成都理工大学信息管理学院应用数学系,成都,610059;南昌航空工业学院,南昌,330034;安徽师范大学数学系,安徽,芜湖,241000;成都理工大学信息管理学院应用数学系,成都,610059 |
| |
| 摘 要： | 研究了一类具有混合边界条件的奇摄动二阶半线性边值问题．在构造形式渐近解的基础上，用微分不等式理论证明了解的存在性．并得出了解的任意阶的一致有效展开式．
|
| 关 键 词： | 混合边界 奇摄动 半线性 边值问题 |
| 文章编号： | 0490-6756(2005)03-0455-04 |
A Class of Singularly Perturbed Semilinear Boundary Value Problem with Mixed Boundary Conditions |
| |
| HUANG Xiang-jiao,LIU Shu-de,Gong Hao,LU Yu-rong.A Class of Singularly Perturbed Semilinear Boundary Value Problem with Mixed Boundary Conditions[J].Journal of Sichuan University (Natural Science Edition),2005,42(3):455-458. |
| |
| Authors: | HUANG Xiang-jiao LIU Shu-de Gong Hao LU Yu-rong |
| |
| Institution: | HUANG Xiang-jiao~ |
| |
| Abstract: | A class of singularly perturbed second order semilinear boundary value problems with mixed boundary conditions are studied. Under the construction of a formal approximation of the boundary value problem, the formal asymptotic expansion for the solution of the problem is obtained. Then the existence of solution is proved and the uniformly valid asymptotic expansion of arbitrary order is obtained by using the theory of differential inequalities. |
| |
| Keywords: | mixed boundary singular perturbation semilinear boundary value problems |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
