| 一类奇异边值问题正解存在的充分必要条件 |
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| 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. |
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| 作者姓名： | 徐玉梅 刘立山 张海军 |
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| 作者单位： | 曲阜师范大学数学系,曲阜,273165 |
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| 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． |
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| 摘 要： | 研究一类奇异边值问题解的存在性及解的迭代,得到C0,1]正解和C10,1]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．
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| 关 键 词： | 奇异边值问题 正解 充分必要条件 |
| 修稿时间： | 2002年12月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. |
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| Authors: | Xu Yumei Liu Lishan Zhang Haijun |
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| Institution: | Department of Mathematics, Qufu Normal University, Qufu 273165 |
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| 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 C0,1] 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. |
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| Keywords: | Singular boundary value problem positive solutions necessary and sufficient condition |
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