| 四阶奇异边值问题两个正解的存在性 |
| |
| 引用本文： | 王春梅,张克梅,邢美红. 四阶奇异边值问题两个正解的存在性[J]. 应用泛函分析学报, 2008, 10(1): 49-57 |
| |
| 作者姓名： | 王春梅 张克梅 邢美红 |
| |
| 作者单位： | 曲阜师范大学数学科学学院,山东,曲阜273165 |
| |
| 摘 要： | 利用锥拉伸与压缩不动点定理,给出了四阶微分方程奇异边值问题C^2[0,1]和C^2-[0,1]正解的存在性．
|
| 关 键 词： | 四阶奇异边值问题 正解 不动点 |
| 文章编号： | 1009-1327(2008)01-0049-09 |
| 修稿时间： | 2006-04-24 |
The Existence of Two Positive Solutions of Fourth-order Singular Boundary Value Problems |
| |
| Affiliation: | WANG Chun-mei, ZHANG Ke-mei( Department of Mathematics, Qufu Normal University, Qufu Shandong 273165, China) |
| |
| Abstract: | The existence of two C^2[0,1] positive solutions as well as C^3[0,1] positive solutions is established for a singular boundary value problems of fourth order differential equations by using the fixed point theorem of cone expansion and cone compression of norm type. |
| |
| Keywords: | fourth order singular boundary value problem positive solutions fixed point |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
