| 一类拟线性常微分方程的多解 |
| |
| 引用本文： | 张辉,郭宗明. 一类拟线性常微分方程的多解[J]. 应用泛函分析学报, 2000, 2(3): 228-246 |
| |
| 作者姓名： | 张辉 郭宗明 |
| |
| 作者单位： | 1. 中国科学院数学与系统科学研究院,北京,100080
2. 河南师范大学数学系,河南,新乡,453002 |
| |
| 摘 要： | 说明一类拟线性特征值问题有两个正解；一个大解，一个小解。同时本也证明小解是一个山路解当参数大时发展成为尖解。
|
| 关 键 词： | 特征值问题 大解 小解 尖解 山路解 拟线性常微分方程 多解 |
Multiple Solutions for a Class of Quasilinear Ordinary Differential Equations |
| |
| ZHANG Hui,GUO Zong-ming. Multiple Solutions for a Class of Quasilinear Ordinary Differential Equations[J]. Acta Analysis Functionalis Applicata, 2000, 2(3): 228-246 |
| |
| Authors: | ZHANG Hui GUO Zong-ming |
| |
| Abstract: | It is shown that there are exactly two positive solutions for a class of quasilinear eigenvalue problems; one is a large solution, another one is a small solution. It is also proved that the small solution is a mountain pass solution and it develops to a peak solution when the parameter is large. |
| |
| Keywords: | eigenvalue problems large solutions small solutions peak solutions mountain pass solutions |
| 本文献已被 维普 万方数据 等数据库收录！ |
