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向量三阶拟线性边值问题的奇摄动
引用本文:余赞平.向量三阶拟线性边值问题的奇摄动[J].福建师范大学学报(自然科学版),1992,8(4):13-19.
作者姓名:余赞平
作者单位:福建师范大学数学系
摘    要:本文考虑一类向量三阶拟线性边值问题。在适当条件下,通过构造边界层函数,求得高阶渐近展开,然后利用对角化方法,证明了其解和高阶渐近解的误差估计。

关 键 词:拟线性  边值问题  奇摄动  三阶

Singular Perturbation of Boundary Value Problem for Guasilinear Third Order System
Yu Zanping.Singular Perturbation of Boundary Value Problem for Guasilinear Third Order System[J].Journal of Fujian Teachers University(Natural Science),1992,8(4):13-19.
Authors:Yu Zanping
Institution:Department of Mathematics
Abstract:In this paper, considers a vector third order quasilinear value problem. Under the appropliate assumptions, involving the boundary layer, asymptotic solution of higher order approximation is obtained. Then, using the method of diagonalization, the existence of its solution and the limit to the higher order approximation are proofed.
Keywords:quasilinear system  perturbation solution  asymptotic solution  method of diagonalization
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