某类三阶非线性方程边值问题的奇摄动  

A Class of Third-Order Nonlinear Equation Boundary Value Problem of Singular Perturbation

作　　者：陈育森[1] 黄蔚章[1] 

机构地区：[1]福建师范大学福清分校数学与计算机科学系,福建福清350300

出　　处：《宁夏大学学报（自然科学版）》2006年第3期221-224,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：福建省教育厅科技基金资助项目(JB00040)

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.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.

关 键 词：奇摄动 边界层 渐近展开 微分不等式 

分 类 号：O175[理学—数学]