三阶非线性微分方程三点边值问题的渐近解(英文)  

Asymptotic Solution of the Three Points Boundary Value Problem for Nonlinear Third Order Equation

作　　者：姚静荪[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》2009年第2期437-442,共6页Mathematica Applicata

基　　金：Supported by Natural Science Foundation of Anhui Province(050460103)

摘　　要：本文通过引入伸长变量和使用边界层校正项的方法构造了一类三阶非线性微分方程三点边值问题的形式渐近解,然后利用高阶微分不等式理论,证明了此解的一致有效性.In this paper, the formal asymptotic expansion of solution of the three points boundary value problem for nonlinear third order equation is obtained by using the stretched variable and the method of boundary layer correction. According to the theory of differential inequalities the uniformly validity of solution is proved.

关 键 词：奇异摄动 三点边值问题 微分不等式 

分 类 号：O175.14[理学—数学]