| 一类四阶奇异半正Sturm-Liouville边值问题的正解 |
| |
| 引用本文： | 赵增勤,孙忠民.一类四阶奇异半正Sturm-Liouville边值问题的正解[J].系统科学与数学,2009,29(3):378-388. |
| |
| 作者姓名： | 赵增勤 孙忠民 |
| |
| 作者单位： | 1. 曲阜师范大学数学科学学院,曲阜,273165
2. 潍坊教育学院,青州,262500 |
| |
| 基金项目： | 国家自然科学基金，山东省自然科学基金，高等学校博士学科点专项科研基金 |
| |
| 摘 要： | 在Sturm-Liouville边界条件下研究较广泛的一类四阶奇异半正微分方程,得到其C20,1]正解与C30,1]正解存在的新结果,并给出了其正解与该边值问题的格林函数之间的某些联系.
|
| 关 键 词： | 奇异边值问题 半正 正解 超线性 锥 |
| 收稿时间： | 2007-1-24 |
Positive Solutions of Fourth Order Singular Semipositone Sturm-Liouville Boundary Value Problems |
| |
| ZHAO Zengqin,SUN Zhongmin.Positive Solutions of Fourth Order Singular Semipositone Sturm-Liouville Boundary Value Problems[J].Journal of Systems Science and Mathematical Sciences,2009,29(3):378-388. |
| |
| Authors: | ZHAO Zengqin SUN Zhongmin |
| |
| Institution: | (1)School of Mathematical Sciences, Qufu Normal University, Qufu 273165; (2)Weifang Education College, Qingzhou 262500. |
| |
| Abstract: | A class of singular semipositone fourth order differential equations with Sturm-Liouville boundary value conditions is considered. Some new results on the existence of $C^2$ positive solutions and $C^3$ positive solutions for this class of differential equations are derived. Finally, some relations between the solutions and the Green's functions are derived. |
| |
| Keywords: | Singular boundary value problem semipositone positive solutions superlinear cone |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
