| 次线性奇异三点边值问题的正解 |
| |
| 引用本文： | 韦忠礼. 次线性奇异三点边值问题的正解[J]. 数学物理学报(A辑), 2008, 28(1): 174-182 |
| |
| 作者姓名： | 韦忠礼 |
| |
| 作者单位： | 山东建筑大学理学院,山东250101 |
| |
| 摘 要： | 该文主要研究二阶次线性奇异三点边值问题的正解的存在性,利用上下解方法和比较定理给出了C[0,1] 和 C1[0,1]$ 正解存在的充分必要条件,其中的非线性项 f(t,x) 可以在 x=0, t=0 和 t=1 处奇异.
|
| 关 键 词： | 奇异三点边值问题 正解 上下解 比较定理 |
| 文章编号： | 1003-3998（2008）01-174-09 |
| 收稿时间： | 2005-01-19 |
| 修稿时间： | 2006-07-05 |
Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems |
| |
| Wei Zhongli. Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems[J]. Acta Mathematica Scientia, 2008, 28(1): 174-182 |
| |
| Authors: | Wei Zhongli |
| |
| Affiliation: | School of Sciencs, Shandong Jianzhu University, Shandong 250101
|
| |
| Abstract: | This paper investigates the existence of positive solutions for second-order singular sub-linear three-point boundary value problems. A necessary and sufficient condition for the existence of C [0,1] as well as C1[0,1] positive solutions is given by constructing lower and upper solutions and with the comparison theorem. The nonlinearity f(t,x) may be singular at , t=0 and /or t=1 . |
| |
| Keywords: | Singular three-point boundary value problem Positive solution Lower and upper solutions Comparison theorem. |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
|
点击此处可从《数学物理学报(A辑)》下载全文 |
|
