| 次线性Emden-Fowler方程奇异m-点边值问题的正解 |
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| 引用本文： | 沈文国,何韬,张明新. 次线性Emden-Fowler方程奇异m-点边值问题的正解[J]. 兰州理工大学学报, 2008, 34(1): 143-146 |
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| 作者姓名： | 沈文国 何韬 张明新 |
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| 作者单位： | 兰州工业高等专科学校,基础学科部,甘肃,兰州,730050;西安交通大学,理学院,陕西,西安,710049;兰州工业高等专科学校,计算机工程系,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金(3ZS051-A25-047)，甘肃省教育厅科研项目(0712B-02) |
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| 摘 要： | 运用上下解方法、极大值原理和Schauder不动点定理,在次线性条件下,解决一类Emden-Fowler方程奇异m-点边值问题的正解的存在性问题,并获得该类奇异非线性m-点边值问题存在C[0,1]正解的充分条件.
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| 关 键 词： | 奇异非线性m-点边值问题 上下解 极大值原理 不动点定理 |
| 文章编号： | 1673-5196（2008）01-0143-04 |
| 收稿时间： | 2006-11-07 |
| 修稿时间： | 2006-11-07 |
Positive solutions to singular m-point boundary-value problem of sub-linear Emden-Fowler equation |
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| SHEN Wen-guo,HE Tao,ZHANG Ming-xin. Positive solutions to singular m-point boundary-value problem of sub-linear Emden-Fowler equation[J]. Journal of Lanzhou University of Technology, 2008, 34(1): 143-146 |
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| Authors: | SHEN Wen-guo HE Tao ZHANG Ming-xin |
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| Abstract: | Employing the method of upper-and-lower solution,principle of maximum,and fixed point theorem of Schauder,the problem of existence of positive solutions to singular m-point boundary-value problem of a class of Emder-Fowler equation in the condition of sub-linearity,and the sufficient condition for the existence of C positive solution to this class of singular m-point boundary-value problems was obtained,also. |
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| Keywords: | singular nonlinear m-point boundary-value problem upper-and-lower solution principle of maximum fixed point theorem |
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