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| 一类三阶微分方程Robin两点边值问题解的高阶渐近展开 | |
| 引用本文： | 傅仰耿,余赞平,周哲彦. 一类三阶微分方程Robin两点边值问题解的高阶渐近展开[J]. 福建师范大学学报(自然科学版), 2008, 24(2): 5-8 |
| 作者姓名： | 傅仰耿 余赞平 周哲彦 |
| 作者单位： | 福建师范大学数学与计算机科学学院,福建,福州,350007 |
| 基金项目： | 福建省科技厅基金资助项目(2005K028)，福建省教育厅基金资助项目(JA03172)，福建省自然科学基金资助项目(S0650010) |
| 摘 要： | 研究并构造一类具有转向点的三阶微分方程边值问题解的高阶渐近展开式,并利用三阶微分不等式理论,证明了解的存在性并得到了解的高阶误差估计. |
| 关 键 词： | 微分方程 边值问题 高阶展开 |
| 文章编号： | 1000-5277(2008)02-0005-04 |
| 修稿时间： | 2007-01-30 |
The Higher-order Asymptotic Solution of a Class of Two Point Robin Boundary Value Problems for Third-order Differential Equation |
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| FU Yang-geng,YU Zan-ping,ZHOU Zhe-yan. The Higher-order Asymptotic Solution of a Class of Two Point Robin Boundary Value Problems for Third-order Differential Equation[J]. Journal of Fujian Teachers University(Natural Science), 2008, 24(2): 5-8 | |
| Authors: | FU Yang-geng YU Zan-ping ZHOU Zhe-yan |
| Abstract: | A class of boundary value problems for third-order differential equation have been researched and constructed.Then using the theory of differential inequalities,prove the existence of solution and obtain the error estimate of the solution under certain conditions. |
| Keywords: | differential equation boundary value problem higher-order expansion |
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