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| 一类奇异边值问题正解存在的充分必要条件 | |
| 引用本文： | 徐玉梅,刘立山,张海军. 一类奇异边值问题正解存在的充分必要条件[J]. 系统科学与数学, 2005, 25(5): 599-607 |
| 作者姓名： | 徐玉梅 刘立山 张海军 |
| 作者单位： | 曲阜师范大学数学系,曲阜,273165 |
| 基金项目： | 国家自然科学基金(10471075)山东省自然科学基金(Y2003A01,02BS119)资助课题． |
| 摘 要： | 研究一类奇异边值问题解的存在性及解的迭代,得到C[0,1]正解和C1[0,1]正解存在的充分必要条件,从本质上改进和推广了赵增勤1998年的工作． |
| 关 键 词： | 奇异边值问题 正解 充分必要条件 |
| 修稿时间： | 2002-12-31 |
A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS |
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| Xu Yumei,Liu Lishan,Zhang Haijun. A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(5): 599-607 | |
| Authors: | Xu Yumei Liu Lishan Zhang Haijun |
| Affiliation: | Department of Mathematics, Qufu Normal University, Qufu 273165 |
| Abstract: | This paper studies the existence of positive solutions of some singular sublinear boundary value problem. A necessary and sufficient condition for the existence of C[0,1] positive solutions as well as C1 [0,1] positive solutions is obtained. Our results are the generalizations and improvements of Zhao's results in essence. |
| Keywords: | Singular boundary value problem positive solutions necessary and sufficient condition. |
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