| 非线性三阶常微分方程的非线性三点边值问题解的存在性 |
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| 引用本文： | 沈建和,余赞平,周哲彦. 非线性三阶常微分方程的非线性三点边值问题解的存在性[J]. 纯粹数学与应用数学, 2007, 23(3): 355-360,365 |
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| 作者姓名： | 沈建和 余赞平 周哲彦 |
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| 作者单位： | 中山大学应用力学与工程系,广东,广州,510275;福建师范大学数学与计算机科学学院,福建,福州,350007 |
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| 摘 要： | 基于上下解方法,在一定条件下,得到了一类带有非线性混合边界条件的三阶常微分方程的非线性三点边值问题解的存在性,作为上述存在性结果的应用,在推论中给出了一类三阶非线性微分方程三点边值问题解的存在性.
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| 关 键 词： | 上下解方法 三阶常微分方程 非线性三点边值问题 解的存在性 |
| 文章编号： | 1008-5513（2007）03-0355-06 |
| 修稿时间： | 2005-10-12 |
Existence of solution to nonlinear three-point boundary value problem for nonlinear third-order nonlinear ordinary differential equation |
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| SHEN Jianhe,YU Zanping,ZHOU Zheyan. Existence of solution to nonlinear three-point boundary value problem for nonlinear third-order nonlinear ordinary differential equation[J]. Pure and Applied Mathematics, 2007, 23(3): 355-360,365 |
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| Authors: | SHEN Jianhe YU Zanping ZHOU Zheyan |
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| Affiliation: | 1. Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China; 2. School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China |
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| Abstract: | Based on the upper and lower solutions method,under suitable conditions,existence of solution of a three-point boundary value problem forthird-order ordinary differential equation with nonlinear mixed boundary conditions is obtained.As an application of the above existence result,in the corollary,existence of solution of a third-order three-point boundary value problem is given. |
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| Keywords: | upper and lower solutions third-order differential equation nonlinear three-point boundary value problem existence of solution |
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