奇摄动积分方程组的渐近分析

Asymptotic Analysis for the Singularly Perturbed System of Integral Equations

本文利用边界层函数法,证明了奇摄动积分方程组??解的存在唯一性,并得到了解对ε的一致有效渐近展开.

In this paper we consider the singular perturbation problem for the system of linear integral equations ■ The existence and uniqueness of the solution are proved and the formal asymptotic expansion of the solution with two boundary layers is constructed by the method of boundary layer function.The expansion is uniformly valid and the estimation of remainder for the asymptotic solution is given.