具有转向点的二阶拟线性系统奇摄动边值问题解的渐近展开

ASYMPTOTIC EXPANSION OF SOLUTION TO SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF SECOND ORDER QUASILINEAR SYSTEM WITH TURN-POINT

本文证明了一类具有转向点的二阶拟线性系统奇摄动边值问题解的存在性,给出摄动解及其导数按分量一致有效渐近估计。

In this paper, we prove the existence of solution of singularly perturbed boundary value problem for a class of the second order quasilinear system, we also give the asymptotic esti-mation of the solution and its derivative, which is uniforunly valid by component