| 一类含参数二阶奇异微分方程边值问题的正解 |
| |
| 引用本文： | 陈祥平. 一类含参数二阶奇异微分方程边值问题的正解[J]. 吉林大学学报(理学版), 2009, 47(4): 705-710 |
| |
| 作者姓名： | 陈祥平 |
| |
| 作者单位： | 济宁学院,数学系,山东,曲阜,273155 |
| |
| 基金项目： | 国家自然科学基金,山东省自然科学基金 |
| |
| 摘 要： | 利用混合单调算子的不动点定理研究Banach空间中一类含参数非线性二阶奇异微分方程的边值问题, 得到了正解存在的充分条件和必要条件, 并且进一步证明了解是惟一的和连续可导的.
|
| 关 键 词： | 奇异边值问题 正解 混合单调算子 不动点 |
| 收稿时间： | 2008-10-29 |
Positive Solution of Some Boundary Value Problems for a Class of Second Order Singular Differential Equations with Paratmeter |
| |
| CHEN Xiang-ping. Positive Solution of Some Boundary Value Problems for a Class of Second Order Singular Differential Equations with Paratmeter[J]. Journal of Jilin University: Sci Ed, 2009, 47(4): 705-710 |
| |
| Authors: | CHEN Xiang-ping |
| |
| Affiliation: | Department of Mathematics, Jining University, Qufu 273155, Shandong Province, China |
| |
| Abstract: | This paper investigated a class of nonlinear second-order singular boundary value problems with paratmeter in Banach space by using mixed monotone method,a sufficient and necessary condition for the existence of positive solution was given. Furthermore the solution is unique and consecutively derivable. |
| |
| Keywords: | singular boundary value problem positive solution mixed monotone operator fixed point |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
|
