| 奇异摄动三阶半线性微分方程的非线性三点边值问题 |
| |
| 引用本文： | 姚金霞,余赞平,周哲彦. 奇异摄动三阶半线性微分方程的非线性三点边值问题[J]. 福建师范大学学报(自然科学版), 2010, 26(3) |
| |
| 作者姓名： | 姚金霞 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350108 |
| |
| 基金项目： | 福建省科技厅资助项目，福建省教育厅资助项目 |
| |
| 摘 要： | 研究了奇异摄动三阶半线性非线性三点边值问题高阶渐近近似解的构造,用相关的微分不等式理论证明了解的存在性,并给出高阶渐近解与精确解的误差估计,最后给出一个例子验证了结果.
|
| 关 键 词： | 奇异摄动 三阶微分方程 三点边值问题 渐近解 误差估计 |
Nonlinear Three-point Boundary Value Problem for Singularly Perturbed Semilinear Third-order Differential Equations |
| |
| YAO Jin-xia,YU Zan-ping,ZHOU Zhe-yan. Nonlinear Three-point Boundary Value Problem for Singularly Perturbed Semilinear Third-order Differential Equations[J]. Journal of Fujian Teachers University(Natural Science), 2010, 26(3) |
| |
| Authors: | YAO Jin-xia YU Zan-ping ZHOU Zhe-yan |
| |
| Affiliation: | YAO Jin-xia,YU Zan-ping,ZHOU Zhe-yan(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China) |
| |
| Abstract: | The construction of higher order asymptotic solution of nonlinear three-point boundary value problem for third-order semilinear differential equations with singular perturbation is studied.Then using the relevant theory of differential inequalities,prove the existence of solution and get the error estimate of asymptotic solution and exact solution.At last,one example is given and the result is verified. |
| |
| Keywords: | singular perturbation third-order differential equation three-point boundary value problem asymptotic solution error estimate |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
