| 一类三阶三点边值问题的可解性 |
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| 引用本文： | 刘伟,王岩岩,吴景珠,杜金姬.一类三阶三点边值问题的可解性[J].周口师范学院学报,2011,28(5). |
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| 作者姓名： | 刘伟 王岩岩 吴景珠 杜金姬 |
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| 作者单位： | 1. 周口师范学院数学系,河南周口,466001
2. 中南大学数学科学与计算技术学院,湖南长沙,410083 |
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| 基金项目： | 河南省教育厅自然科学基金资助项目 |
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| 摘 要： | 讨论了一类非线性常微分方程三阶三点边值问题的可解性．在非线性项满足线性增长的条件下，通过构造适当的Banach空间并用Leray-Schauder不动点定理证明了该问题必存在解或正解．
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| 关 键 词： | 非线性三阶常微分方程 三点边值问题 正解 |
The solubility for a kind of third-order three-point boundary value problems |
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| LIU Wei,WANG Yanyan,WU Jingzhu,DU Jinji.The solubility for a kind of third-order three-point boundary value problems[J].Journal of Zhoukou Normal University,2011,28(5). |
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| Authors: | LIU Wei WANG Yanyan WU Jingzhu DU Jinji |
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| Institution: | LIU Wei1,WANG Yanyan1,WU Jingzhu1,DU Jinji2(1.Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China,2.School of Mathematics Science and Computing Technology,Central South University,Changsha 410083,China) |
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| Abstract: | The solubility for a kind of nonlinear ordinary differential equation with third-order three-point boundary value problems was addressed. In terms of constructing suitable banach space and leray-schauder fixed theorem under the condition of linear growth for nonlinearity item, the existence of solution or positive solution was proved. |
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| Keywords: | nonlinear third-order ordinary differential equations three-point boundary value problems positive solution |
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