| BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULARLY PERTURBED SEMILINEAR SYSTEMS |
| |
| 作者姓名： | 章国华 刘光旭 |
| |
| 作者单位： | Department of Mathematics and Statistics，The University of Calgary，Alberta，Canada，Department of Mathematics，Nankai University，Tianjing |
| |
| 摘 要： | Some authors employed the method and technique of differential inequalities to obtain fairly general results concerning the existence and asymptotic behavior, as ε→n~+, of the solutions of scalar boundary value problems In this paper, we extend these results to vector boundary value problems, under analogous stability conditions on the solution u=u(t) of the reduced equation O=h(t, u) Two types of asymptotic behavior are studied, depending on whether the reduced solution u(t) has or does not have a con tinuous first derivative in (a, b) leading to the phenomena of boundary and angular layers.
|
| 收稿时间： | 1983-07-07 |
Boundary and angular layer behavior in singularly perturbed semilinear systems |
| |
| K. W. Chang,G. X. Liu.BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULARLY PERTURBED SEMILINEAR SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),1984,5(3):1309-1316. |
| |
| Authors: | K W Chang G X Liu |
| |
| Institution: | 1. Department of Mathematics and Statistics, The University of Calgary, Alberta, Canada;2. Department of Mathematics, Nankai University, Tianjing |
| |
| Abstract: | Some authors employed the method and technique of differential inequalities to obtain fairly general results concerning the existence and asymptotic behavior, as ε→n+, of the solutions of scalar boundary value problems εuu=h(t,y),a
|
| |
| Keywords: | |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
