| 二阶常微分方程边值问题正解的存在性与唯一性 |
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| 引用本文： | 刘艳. 二阶常微分方程边值问题正解的存在性与唯一性[J]. 长春师范学院学报, 2014, 0(4): 1-2 |
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| 作者姓名： | 刘艳 |
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| 作者单位： | 苏州高等幼儿师范学校,江苏苏州215008 |
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| 摘 要： | 本文利用偏序集上的不动点定理,证明一类二阶常微分方程边值问题正解的存在性,通过对格林公式的分析获得了唯一性结果。
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| 关 键 词： | 边值问题 偏序集 正解 唯一性 |
Existence and Uniqueness of Positive Solutions to the Multi-point Boundary Value Problems of Second-Order Ordinary Differential Equations |
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| LIU Yan. Existence and Uniqueness of Positive Solutions to the Multi-point Boundary Value Problems of Second-Order Ordinary Differential Equations[J]. Journal of Changchun Teachers College, 2014, 0(4): 1-2 |
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| Authors: | LIU Yan |
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| Affiliation: | LIU Yan ( Suzhou Higher Infant Normal School, Suzhou Jiangsu 215008, China) |
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| Abstract: | In this paper,we will study the existence of positive solutions for second order ordinary differential equation boundary value problem by using the fixed-point theorem in partially ordered sets.And through the analysis of Green＇s formula the uniqueness is obtained. |
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| Keywords: | boundary value problems partially ordered sets positive solution uniqueness |
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