| 二阶常微分方程的积分边值问题 |
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| 引用本文： | 王兰芳.二阶常微分方程的积分边值问题[J].吉首大学学报(自然科学版),2009,30(6):26-28. |
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| 作者姓名： | 王兰芳 |
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| 作者单位： | (吉首大学数学与计算机科学学院,湖南 吉首 416000) |
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| 基金项目： | 湖南省教育厅科学研究项目 |
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| 摘 要： | 研究二阶常微分方程的积分边值问题,利用动点定理,得到了边值问题存在唯一正解和至少存在3个正解的充分条件.
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| 关 键 词： | 常微分方程 积分边界条件 正解 不动点 |
Boundary Value Problem for Second Order Ordinary Differential Equations with Integral Boundary Conditions |
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| WANG Lan-fang.Boundary Value Problem for Second Order Ordinary Differential Equations with Integral Boundary Conditions[J].Journal of Jishou University(Natural Science Edition),2009,30(6):26-28. |
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| Authors: | WANG Lan-fang |
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| Institution: | (College of Mathematics and Computer Sciences,Jishou University,Jishou 416000,Hunan China) |
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| Abstract: | This paper deals with the study of boundary value problem for second order ordinary differential equations with integral boundary conditions.By means of fixed-point theorems,some sufficient conditions are obtained to guarantee the uniqueness of positive solution and existence of at least three positive solutions of the boundary value problems. |
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| Keywords: | ordinary differential equations integral boundary conditions positive solutions fixed-point theorem |
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