奇摄动三阶非线性方程的边界层现象  

Boundary layer phenomena of singular perturbed third-order nonlinear equation

作　　者：陈育森[1] 黄蔚章[1] 

机构地区：[1]福建师大福清分校,福建福清350300

出　　处：《信阳师范学院学报（自然科学版）》2005年第1期16-18,61,共4页Journal of Xinyang Normal University(Natural Science Edition)

摘　　要：研究具有某类二阶定解条件的三阶非线性方程的奇摄动 ,通过构造渐近展开式 ,利用微分不等式理论证明了渐近解的一致有效性 。This paper studies the singular perturbation of third-order nonlinear equation with a class of second-order definite solution conditions.By constructiing different asymptotic expansions,using theory of differential inequality,we prove uniformly validity of the asympotic solution,and reveal different boundary layer phenomena of the asymptotic solution of perturbed problem with the change of the definite solution conditions.

关 键 词：奇摄动 边界层 渐近展开 

分 类 号：O175[理学—数学]