一类源于广义Riemann问题的奇异摄动非线性边值问题

A Class of Singular Perturbation Nonlinear Boundary Value Problem Arising from General Riemann Problem

研究一类源于广义R iemann问题的奇异摄动非线性边值问题.首先将该问题转化为两点边值问题,然后借助两点边值问题的解得到了奇异摄动非线性边值问题解的存在性、惟一性和解的结构.

This paper deals with a class of singular perturbation nonlinear boundary value problems arising from general Riemann problem. The existence, unique and the form of the solution of the problem by means of transforming the problem into a two-point boundary value problem and its solution.