| 非共振奇异超线性边值问题正解存在的充分必要条件 |
| |
| 引用本文： | 韦忠礼,李秀珍.非共振奇异超线性边值问题正解存在的充分必要条件[J].系统科学与数学,2004,24(3):424-432. |
| |
| 作者姓名： | 韦忠礼 李秀珍 |
| |
| 作者单位： | 山东建筑工程学院数理系,济南,250014 |
| |
| 基金项目： | 国家自然科学基金数学天元基金(A0324616)资助课题. |
| |
| 摘 要： | 本文研究非共振奇异超线性边值问题正解的存在性,利用锥上的不动点定理给出了非共振奇异超线性边值问题有C10,1]正解存在的充分必要条件.
|
| 关 键 词： | 奇异超线性边值问题 正解 不动点定理 非共振 |
| 修稿时间： | 2001年1月16日 |
A NECESSARY AND SUFFICIENT CONDIDTION FOR EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR SUPERLINEAR BOUNDARY VALUE PROBLEMS AT NONRESONANCE |
| |
| Zhong Li WEI,Xiu Zhen LI.A NECESSARY AND SUFFICIENT CONDIDTION FOR EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR SUPERLINEAR BOUNDARY VALUE PROBLEMS AT NONRESONANCE[J].Journal of Systems Science and Mathematical Sciences,2004,24(3):424-432. |
| |
| Authors: | Zhong Li WEI Xiu Zhen LI |
| |
| Institution: | Department of Mathematics and Physics,Shandong Institute of Architectural and Engineering, Jinan 250014 |
| |
| Abstract: | This paper studies the existence of positive solutions to the singular superlinear second order boundary value problem at nonresonance. A necessary and sufficient conditon for the existence of positive solutions in C1 0,1] is given by means of the fixed point theorem on cones. |
| |
| Keywords: | Singular superlinear boundary value problem positive solution fixed point theorem nonresonance |
| 本文献已被 CNKI 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 |
