| 含有一阶导数的四阶边值问题正解的存在性 |
| |
| 引用本文： | 要玉坤,杨飞,郭彦平.含有一阶导数的四阶边值问题正解的存在性[J].数学的实践与认识,2012,42(21):224-231. |
| |
| 作者姓名： | 要玉坤 杨飞 郭彦平 |
| |
| 作者单位： | 1. 河北医科大学西山校区,河北石家庄050200;河北科技大学理学院,河北石家庄050080
2. 河北科技大学理学院,河北石家庄,050080 |
| |
| 基金项目： | 国家自然科学基金，河北省自然科学基金，河北省人才培养工程资助 |
| |
| 摘 要： | 研究了含有一阶导数的四阶边值问题,利用度理论构造出的一个新的不动点定理,由Green函数的性质,给出了一类含有导数的四阶边值问题正解存在的充分条件,得到了边值问题正解存在的一些新结果.
|
| 关 键 词： | 边值问题 锥 不动点定理 正解 |
Positive Solutions for Nonlocal Fourth-order Boundary Value Problems With First Order Derivatives |
| |
| YAO Yu-kun
,
YANG Fei
,
GUO Yan-ping.Positive Solutions for Nonlocal Fourth-order Boundary Value Problems With First Order Derivatives[J].Mathematics in Practice and Theory,2012,42(21):224-231. |
| |
| Authors: | YAO Yu-kun YANG Fei GUO Yan-ping |
| |
| Institution: | 1 (1.College of Xishan,Hebei Medical University,Shijiazhuang 050200,China) (2.College of Science,Hebei University of Science and Technology,Shijiazhuang 050018,China ) |
| |
| Abstract: | In this paper,positive solutions for fourth-order boundary value problems with dependence on the first order derivative are investigated.Through the fixed point theorem which is proved by measure theory and the properties of Green function,we obtain sufficient conditions of existences of positive solutions for fourth-order boundary value problems with dependence on the first order derivative. |
| |
| Keywords: | boundary value problem cone fixed point theorem positive solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
