| 奇异非线性二阶三点边值问题正解的存在唯一性 |
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| 引用本文： | 吕桂霞. 奇异非线性二阶三点边值问题正解的存在唯一性[J]. 应用数学学报, 2003, 26(1): 117-124 |
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| 作者姓名： | 吕桂霞 |
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| 作者单位： | 北华大学师范学院数学系,吉林,132013 |
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| 摘 要： | 本文研究了一类奇异非线性二阶三点边值问题，通过摄动技巧和比较原理获得了所论问题正解的存在唯一性。
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| 关 键 词： | 三点边值问题 正解 存在性 唯一性 常微分方程 Green函数 紧连续算子 |
THE EXISTENCE AND UNIQUENESS OF THE POSITIVE SOLUTION FOR A SINGULAR NONLINEAR BOUNDARY VALUE PROBLEM OF SECOND ORDER THREE-POINT |
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| Lu GUIXIA. THE EXISTENCE AND UNIQUENESS OF THE POSITIVE SOLUTION FOR A SINGULAR NONLINEAR BOUNDARY VALUE PROBLEM OF SECOND ORDER THREE-POINT[J]. Acta Mathematicae Applicatae Sinica, 2003, 26(1): 117-124 |
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| Authors: | Lu GUIXIA |
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| Abstract: | In this paper, a singular nonlinear boundary value problem of second order three-point is considered, and we obtain the existence and uniqueness of the positive solution by use of the perturbation technique and comparison principle. |
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| Keywords: | Singularity second order three-point boundary value problem positive solution existence and uniqueness perturbation technique comparison principle |
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