| 一类三点边值问题两个单调递增正解的存在性 |
| |
| 引用本文： | 梁月亮,续晓欣.一类三点边值问题两个单调递增正解的存在性[J].河南师范大学学报(自然科学版),2010,38(5). |
| |
| 作者姓名： | 梁月亮 续晓欣 |
| |
| 作者单位： | 中北大学理学院数学系,太原,030051 |
| |
| 基金项目： | 国家自然科学基金，山西省自然科学基金，中北大学校青年基金 |
| |
| 摘 要： | 考察了一类非线性三点边值问题,运用锥拉伸与锥压缩型的Krasnosel′skii不动点定理及格林函数的性质,获得了其两个单调递增正解存在性的充分条件,推广和改进了以前文献的相关结果.
|
| 关 键 词： | 三点边值问题 正解 不动点定理 |
Existence of Double Monotone Increasing Positive Solutions for Three-Point Boundary Value Problems |
| |
| LIANG Yue-liang,XU Xiao-xin.Existence of Double Monotone Increasing Positive Solutions for Three-Point Boundary Value Problems[J].Journal of Henan Normal University(Natural Science),2010,38(5). |
| |
| Authors: | LIANG Yue-liang XU Xiao-xin |
| |
| Abstract: | In this paper,a class of nonlinear three-point boundary value problems is considered,and the existence of double monotone increasing positive solutions is obtained by making use of the Krasnosel'skii fixed point theorem of cone expansion-compressions type and the properties of Green function,the results generalize and improve the known ones. |
| |
| Keywords: | three-point boundary value problems positive solutions fixed point theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
