具有转向点的奇摄动边值问题解的渐近展开

The Asymptotic Expansion of Solution of Singularly Perturbed Boundary Value Problem with a Turning Point

本文研究具有转向点的一类三阶半线性常微分方程边值问题的奇摄动，给出了解的渐近展开式，并借助微分不等式的技巧导出解的存在性和有关的余项估计。

This paper is to study the singular perturbation of a class of third order semi--linear boundary value problem with a turning point. Under certain conditions, the asymptotic expansion of the solution is obtained and by differential ineuality we obtain the existence and estimate of the solution.