| 某类三阶非线性方程边值问题的奇摄动 |
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| 引用本文： | 陈育森,黄蔚章. 某类三阶非线性方程边值问题的奇摄动[J]. 宁夏大学学报(自然科学版), 2006, 27(3): 221-224 |
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| 作者姓名： | 陈育森 黄蔚章 |
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| 作者单位： | 福建师范大学福清分校,数学与计算机科学系,福建,福清,350300;福建师范大学福清分校,数学与计算机科学系,福建,福清,350300 |
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| 摘 要： | 研究某类三阶非线性方程的边界层现象．通过引进适当的伸长变量，构造边界层函数，得到了解的N阶近似值，并利用微分不等式理论证明了解的渐近展开式的一致有效性。
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| 关 键 词： | 奇摄动 边界层 渐近展开 微分不等式 |
| 文章编号： | 0253-2328（2006）03-0221-04 |
| 收稿时间： | 2005-10-28 |
| 修稿时间： | 2005-10-28 |
A Class of Third-Order Nonlinear Equation Boundary Value Problem of Singular Perturbation |
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| Chen Yusen,Huang Weizhang. A Class of Third-Order Nonlinear Equation Boundary Value Problem of Singular Perturbation[J]. Journal of Ningxia University(Natural Science Edition), 2006, 27(3): 221-224 |
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| Authors: | Chen Yusen Huang Weizhang |
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| Affiliation: | Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University,Fuqing 350300,China |
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| Abstract: | Boundary layer phenomena of third-order nonlinear equation is studied in this paper. By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved. |
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| Keywords: | singular perturbation boundary layer asymptotic expansion differential inequality |
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