| 四阶奇异边值问题正解存在的充分必要条件 |
| |
| 引用本文： | 邹玉梅,崔玉军,李红玉.四阶奇异边值问题正解存在的充分必要条件[J].曲阜师范大学学报,2007,33(1):27-31. |
| |
| 作者姓名： | 邹玉梅 崔玉军 李红玉 |
| |
| 作者单位： | 山东科技大学泰安校区公共课部 271021泰安市(邹玉梅)，山东科技大学应用数学系 266510山东省青岛市(崔玉军，李红玉) |
| |
| 摘 要： | 利用锥上的不动点定理给出了四阶微分方程奇异边值问题C20,1]正解存在的充分必要条件,推广了韦忠礼(2005,1999)的结果.
|
| 关 键 词： | 奇异边值问题 正解 不动点定理 |
| 文章编号： | 1001-5337（2007）01-0027-05 |
| 修稿时间： | 2006-06-02 |
A Necessary and Sufficient Condition for the Existence of Positive Solutions of Fourth-order Singular Boundary Value Problems |
| |
| ZOU Yu-mei,CUI Yu-jun,LI Hong-yu.A Necessary and Sufficient Condition for the Existence of Positive Solutions of Fourth-order Singular Boundary Value Problems[J].Journal of Qufu Normal University(Natural Science),2007,33(1):27-31. |
| |
| Authors: | ZOU Yu-mei CUI Yu-jun LI Hong-yu |
| |
| Institution: | 1. Departmen of Basic Courses, Taian Campus, Shandong University of Science and Technology, 271021. Taian; 2. Department of Applied Mathematics. Shandong University of Science and Technology, 266510, Qingdao, Shandong, PRC |
| |
| Abstract: | In this paper,the existence of positive solutions to singular boundary value problems of fourth order differential equations is considered.A necessary and sufficient condition for the existence of C~2 positive solutions is given by means of the fixed point theorems on cones. |
| |
| Keywords: | singular boundary value problem positive solution fixed point theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
