| 一类二阶常微分方程组边值问题三个正解的存在性 |
| |
| 引用本文： | 李高尚,刘锡平,贾梅,李春岭,李芳菲. 一类二阶常微分方程组边值问题三个正解的存在性[J]. 上海理工大学学报, 2007, 29(1): 6-10 |
| |
| 作者姓名： | 李高尚 刘锡平 贾梅 李春岭 李芳菲 |
| |
| 作者单位： | 上海理工大学,理学院,上海,200093;上海理工大学,理学院,上海,200093;上海理工大学,理学院,上海,200093;上海理工大学,理学院,上海,200093;上海理工大学,理学院,上海,200093 |
| |
| 摘 要： | 利用Leggett-Williams不动点定理,研究了在Sturm-Liouville边界条件下的一类二阶常微分方程组多个正解的存在性,得到了至少三个正解存在的充分条件.
|
| 关 键 词： | 边值问题 正解 不动点 锥 |
| 文章编号： | 1007-6735（2007）01-0006-05 |
| 修稿时间： | 2006-03-27 |
Existence of three positive solutions in boundary value problems of a class of second order ordinary differential systems |
| |
| LI Gao-shang,LIU Xi-ping,JIA Mei,LI Chun-ling,LI Fang-fei. Existence of three positive solutions in boundary value problems of a class of second order ordinary differential systems[J]. Journal of University of Shanghai For Science and Technology, 2007, 29(1): 6-10 |
| |
| Authors: | LI Gao-shang LIU Xi-ping JIA Mei LI Chun-ling LI Fang-fei |
| |
| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
| |
| Abstract: | Boundary value problems of a class of second order ordinary differential systems are considered.Under Sturm-Liouville conditions,the existence of at least three positive solutions is proved by using Leggett-Williams fixed point theorem. |
| |
| Keywords: | boundary value problem positive solutions fixed point cone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《上海理工大学学报》浏览原始摘要信息 |
|
点击此处可从《上海理工大学学报》下载全文 |
|
