| 具共振条件下二阶m点边值问题解的存在性 |
| |
| 引用本文： | 刘斌,庾建设.具共振条件下二阶m点边值问题解的存在性[J].应用数学学报,2001,24(4):596-606. |
| |
| 作者姓名： | 刘斌 庾建设 |
| |
| 作者单位： | 1. 武汉大学数学与统计学院,
2. 湖南大学应用数学系, |
| |
| 基金项目： | 国家自然科学基金(19831030号)资助项目. |
| |
| 摘 要： | 本文利用重合连续定理研究了具共振条件下二阶m点边值问题解的存在性，首先获得了一个一般性存在性定理，然后利用自治曲率界集概念给出了这类边值问题存在的一些简明条件。
|
| 关 键 词： | 共振条件 m点边值问题 重合度 自治曲率界集 非线性微分方程 |
EXISTENCE OF SOLUTION FOR SECOND ORDER M-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE |
| |
| LIU BING.EXISTENCE OF SOLUTION FOR SECOND ORDER M-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE[J].Acta Mathematicae Applicatae Sinica,2001,24(4):596-606. |
| |
| Authors: | LIU BING |
| |
| Abstract: | In tis paper, by use of the coincidence degrae continuation theorem to study the existence of solution for second order m-point boundary value problems at resonance, we get a abstract existence results, and using the concept of autonomous curvature bound set relative to this m-point boundary value problems, we give some brief existence conditions of solution. |
| |
| Keywords: | Resonance condition mm-point boundary value problem coincidence degree autonomous Curvature bound set |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
