| 一类Sturm—Liouville边值问题正解的存在性 |
| |
| 引用本文： | 杨景保.一类Sturm—Liouville边值问题正解的存在性[J].山东大学学报(自然科学版),2010(2):84-89. |
| |
| 作者姓名： | 杨景保 |
| |
| 作者单位： | 毫州师范高等专科学校理科系,安徽蒙城233500 |
| |
| 基金项目： | 毫州师范高等专科学校科研资助项目（BSKY0805）;安徽省自然科学研究项目（KJ2009B093） |
| |
| 摘 要： | 研究了一类含有一维p-Laplacian算子的Sturm-Liouville边值问题的正解的存在性，非线性项含有未知函数的一阶导数。通过应用范数形式的锥拉伸与压缩不动点定理，得到了正解存在的几个充分条件。
|
| 关 键 词： | p-Laplacian算子 Sturm-Liouville边值问题 锥拉伸与压缩不动点定理 正解 |
Existence of positive solutions for a class of Sturm-Liouville boundary value problems |
| |
| YANG Jing-bao.Existence of positive solutions for a class of Sturm-Liouville boundary value problems[J].Journal of Shandong University(Natural Science Edition),2010(2):84-89. |
| |
| Authors: | YANG Jing-bao |
| |
| Institution: | YANG Jing-bao (Department of Sciences, Bozhou Teachers College, Mengcheng 233500, |
| |
| Abstract: | The existence of positive solutions is investigated for a class of Sturm-Liouville boundary value problems with a one-dimensional p-Laplacian operator though the nonlinear term contained first derivative of an unknown function. By applying the fixed-point theorem of cone expansion and compression of norm type, the several sufficient conditions of existence of positive solutions are obtained. |
| |
| Keywords: | p-Laplacian operator Sturm-Liouville boundary value problems fixed-point theorem of cone expansion and compression positive solution |
| 本文献已被 维普 等数据库收录！ |
