| 非线性二阶常微分方程四点积分边值问题正解的存在性 |
| |
| 引用本文： | 刘宏亮,欧阳自根,汪惠.非线性二阶常微分方程四点积分边值问题正解的存在性[J].南华大学学报(自然科学版),2012,26(2):56-60. |
| |
| 作者姓名： | 刘宏亮 欧阳自根 汪惠 |
| |
| 作者单位： | 南华大学数理学院,湖南衡阳,421001 |
| |
| 基金项目： | 国家博士后基金资助项目(20110491280);南华大学学科带头人基金资助项目(2007XQD13) |
| |
| 摘 要： | 该文运用了锥上不动点定理,建立了非线性二阶常微分方程四点积分边值问题在超线性和次线性条件下的正解存在性的定理.
|
| 关 键 词： | 积分边值 不动点 正解的存在性 |
| 收稿时间： | 5/7/2012 12:00:00 AM |
Positive Solution of a Nonlinear Four-Point Integral Boundary Value Problem |
| |
| LIU Hong-liang,OUYANG Zi-gen,WANG Hui.Positive Solution of a Nonlinear Four-Point Integral Boundary Value Problem[J].Journal of Nanhua University:Science and Technology,2012,26(2):56-60. |
| |
| Authors: | LIU Hong-liang OUYANG Zi-gen WANG Hui |
| |
| Institution: | (School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China) |
| |
| Abstract: | In this paper,we study sufficient conditions for the existence of positive solutions to the four-point integral boundary value problem.By using Krasnoselskiis fixed point theorem in cones,we present the existence of at least one positive solution under the superlinear or sublinear cases. |
| |
| Keywords: | integral boundary value problem fixed point existence of positive solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《南华大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《南华大学学报(自然科学版)》下载免费的PDF全文 |
