| 一类奇摄动三阶非线性微分方程的两点边值问题 |
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| 引用本文： | 李晓琴,余赞平,周哲彦. 一类奇摄动三阶非线性微分方程的两点边值问题[J]. 漳州师范学院学报, 2010, 23(1): 31-36 |
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| 作者姓名： | 李晓琴 余赞平 周哲彦 |
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| 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 |
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| 摘 要： | 本文研究如下一类带有小参数的三阶非线性微分方程两点边值问题{εym=f(t,y,y′,y′′ε),atb y(a)=A(ε) y′′(a)=C(ε)y(b)B(ε)的解的高阶渐近展开,并利用压缩映像原理,证明了解的存在性并得到了解的高阶误差估计.
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| 关 键 词： | 非线性微分方程 两点边值问题 高阶展开 |
A Class Two Point Boundary Value Problem with Singular Perturbation for Third-order Nonlinear Differential Equation |
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| LI Xiao-qin,YU Zan-ping,ZHOU Zhe-yan. A Class Two Point Boundary Value Problem with Singular Perturbation for Third-order Nonlinear Differential Equation[J]. Journal of ZhangZhou Teachers College(Natural Science), 2010, 23(1): 31-36 |
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| Authors: | LI Xiao-qin YU Zan-ping ZHOU Zhe-yan |
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| Affiliation: | LI Xiao-qin,YU Zan-ping,ZHOU Zhe-yan(School of Mathematics , Computer Science,Fujian Normal University,Fuzhou,Fujian 350007,China) |
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| Abstract: | |
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| Keywords: | nonlinear differential equation two point boundary value problem higher-order expansion |
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