一类拟线性奇摄动边值问题

A Class of Quasilinear Singularly Perturbed Differential Equations with Boundary Value Problems

研究了一类二阶拟线性奇摄动边值问题解的存在惟一性和一致有效性,利用边界函数法,在适当条件下成功构造了所论问题解的一致有效的渐近展开式,并得到了渐近解的误差估计。

This paper paper presents singular perturbed of boundary value problems for a class of second order quasilinear systems.Under appopriate assumptions by using the method of boundary functions,the existence and local uniqueness of solutions,constructions of asymptotic solutions and their uniform validity of the problem are studied and the estimation of the corresponding remainder term are given as well in the paper.