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含双参数的三阶拟线性微分方程边值问题的奇摄动
引用本文:陈丽华.含双参数的三阶拟线性微分方程边值问题的奇摄动[J].福建师大福清分校学报,1998(2):16-21.
作者姓名:陈丽华
摘    要:本研究含双参数的三阶拟线性常微分方程边值问题解的多重边界层现象,在适当的条件下,利用微分不等式方法,证明解的存在性及其余项估计。

关 键 词:双参数  边值问题  奇摄动  多重边界层现象  三阶拟线性常微分方程  微分不等式  边界条件

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR THIRD ORDER QUASI - LINEAR DIFFERENTIAL EQUATION WITH TWO PARAMFTERS
Chen Lihua.SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR THIRD ORDER QUASI - LINEAR DIFFERENTIAL EQUATION WITH TWO PARAMFTERS[J].Journal of Fuqing Branch of Fujian Normal University,1998(2):16-21.
Authors:Chen Lihua
Abstract:In this paper, we study the multiple boundary layer phenomema of the solution of boundary value problem for third order quasi-linear differential equation with two small parameters. Under appropriate condions, using the mothed of differential inequalies, we prove the existence of the solution and give its estimation of remmainder term.
Keywords:two parameters  singular perturbation  mulitiple boundary layer phenomena
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