| 无穷区间上二阶微分方程的边值问题 |
| |
| 引用本文： | 刘衍胜.无穷区间上二阶微分方程的边值问题[J].应用泛函分析学报,2002,4(3):211-216. |
| |
| 作者姓名： | 刘衍胜 |
| |
| 作者单位： | 山东大学数学系,山东,济南,250100;山东师范大学数学系,山东,济南,250014 |
| |
| 基金项目： | 山东省自然科学重点基金(Z2000A02) |
| |
| 摘 要： | 利用Schauder不动点定理讨论了一类非线性二阶微分方程在无穷区间上的边值问题无界解的存在性，部分改进了郭大钧教授最近得到的结果。
|
| 关 键 词： | 无穷边值问题 相对紧 不动点 |
| 文章编号： | 1009-1327(2002)03-0211-06 |
| 修稿时间： | 2001年6月9日 |
Boundary Value Problem for Second order Differ-ential Equations on Unbounded Domains |
| |
| LIU Yan-sheng.Boundary Value Problem for Second order Differ-ential Equations on Unbounded Domains[J].Acta Analysis Functionalis Applicata,2002,4(3):211-216. |
| |
| Authors: | LIU Yan-sheng |
| |
| Institution: | LIU Yan-shengDepartment of Mathematics,Shandong University,Shandong,Ji'nan 250100,China, Department of Mathematics,Shandong Normal University,Shandong,Jinan 250014,China |
| |
| Abstract: | In this paper, the Shauder fixed point theorem is used to investigate the existence of two-point boundary value problems(BVP) for second order equations on infinite intervals, which partly improves the result obtained by Professor GUO Da-jun. |
| |
| Keywords: | Boundary value problem on infinite interval relative compact fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
