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| 奇异四阶微分方程边值问题的正解 | |
| 引用本文： | 崔玉军,孙经先,邹玉梅.奇异四阶微分方程边值问题的正解[J].数学研究及应用,2009,29(2):376-380. |
| 作者姓名： | 崔玉军 孙经先 邹玉梅 |
| 作者单位： | 山东科技大学信息学院, 山东 青岛 266510;徐州师范大学数学系, 江苏 徐州 221116;山东科技大学信息学院, 山东 青岛 266510 |
| 基金项目： | 国家自然科学基金(No.10671167); 山东科技大学春蕾计划(No.2008AZZ044). |
| 摘 要： | The singular boundary value problem {φ^（4）（x）-h（x）f（φ（x））=0,0〈x〈1, φ（0）=φ（1）=φ′（0）=φ′（1）=0. is considered under some conditions concerning the first eigenvaiues corresponding to the relevant linear operators, where h（x） is allowed to be singular at both x = 0 and x = 1. The existence results of positive solutions are obtained by means of the cone theory and the fixed point index. |
| 关 键 词： | 奇异四阶微分方程 边值问题 正解 固定点 |
| 收稿时间： | 2006/12/20 0:00:00 |
| 修稿时间： | 2007/5/25 0:00:00 |
Positive Solutions of Singular Boundary Value Problems of Fourth-Order Differential Equations |
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| CUI Yu Jun,SUN Jing Xian and ZOU Yu Mei.Positive Solutions of Singular Boundary Value Problems of Fourth-Order Differential Equations[J].Journal of Mathematical Research with Applications,2009,29(2):376-380. | |
| Authors: | CUI Yu Jun SUN Jing Xian and ZOU Yu Mei |
| Institution: | College of Information Science and Engineering, Shandong University Science and Technology, Shandong 266510, China;Department of Mathematics, Xuzhou Normal University, Jiangsu 221116, China;College of Information Science and Engineering, Shandong University Science and Technology, Shandong 266510, China |
| Abstract: | The singular boundary value problem $$\left\{\begin{array}{lcl}\varphi^{(4)}(x)-h(x)f(\varphi(x))=0,\quad 0 |
| Keywords: | singular boundary value problems positive solution cone fixed point index |
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