| 一类非线性四阶三点边值问题的可解性 |
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| 引用本文： | 姚庆六.一类非线性四阶三点边值问题的可解性[J].山东大学学报(理学版),2006,41(1):11-15. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学,应用数学系,江苏,南京,210003 |
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| 摘 要： | 考察了一类非线性项含有一阶、二阶和三阶导数的四阶三点边值问题的解和正解. 通过构造适当的Banach空间并且利用相应的积分方程建立了两个存在定理. 主要工具是Leray Schauder不动点定理.
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| 关 键 词： | 四阶常微分方程 四阶常微分方程 三点边值问题 三点边值问题 解和正解 解和正解 解的存在性 解的存在性 |
| 文章编号： | 1671-9352（2006）01-0011-05 |
| 收稿时间： | 2005-03-02 |
| 修稿时间： | 2005年3月2日 |
Solvability of a class of nonlinear fourth-order three-point boundary value problems |
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| YAO Qing-liu.Solvability of a class of nonlinear fourth-order three-point boundary value problems[J].Journal of Shandong University,2006,41(1):11-15. |
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| Authors: | YAO Qing-liu |
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| Institution: | Dept. of Appl. Math., Nanjing University of Finance and Economics, Nanjing 210003, Jiangsu, China |
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| Abstract: | The solution and positive solution were considered for a elass of fourth-order three-point boundary value problems whose nonlinear term contains first, second and third derivatives. By constructing suitable Banach space and applying corresponding integral equation, two existence theorems were established. The main ingredient is the Leray-Schauder fixed point theorem. |
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| Keywords: | fourth-order ordinary differential equation three-point boundary value problem solution and positive solution existence of solution |
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