三阶非线性两点边值问题的奇摄动(英文)  

Singular Perturbation of Two Points Boundary Value Problem for Third Order Nonlinear Differential Equation

作　　者：谢峰[1] 

机构地区：[1]安徽师范大学数学系,安徽芜湖241000

出　　处：《应用数学》2001年第1期42-46,共5页Mathematica Applicata

摘　　要：本文借助不动点原理 ,对一类三阶非线性方程的边值问题的渐近解做了估计 ,得到了包括边界层在内的任意次近似的一致有效的渐近展开式 .In this paper, the fixed point theorem is used to estimate an asymptotic solution of boundary value problems for a class of third order nonlinear differential equations and the uniformly valid asymptotic expansion of solution of any orders including boundary layers is obtained.

关 键 词：不动点原理 渐近展开 奇摄动 非线性两点边值问题 三阶 

分 类 号：O175.8[理学—数学]