A STRONGLY COUPLED SINGULARLY PERTURBED QUASI-LINEAR 2ND-ORDER SYSTEM

被引：0

作者：

JEFFRIES, JS

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 04期

关键词：

SINGULAR PERTURBATIONS; BOUNDARY LAYER; STRONGLY COUPLED;

D O I：

10.1137/0522058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A constructive existence proof is given for solutions of boundary layer type for the singularly perturbed quasilinear second-order system epsilon (d2x/dt2) = F(t, x)(dx/dt) + g(t, x) subject to Dirichlet boundary conditions. The required assumptions involve only natural conditions that are induced by the O'Malley construction. In particular, restrictive conditions on the structure of F(t, x) which seek to decouple the components of the system are avoided.

引用

页码：896 / 904

页数：9

共 19 条

[1] SINGULAR PERTURBATIONS OF A BOUNDARY PROBLEM FOR A VECTOR 2ND ORDER DIFFERENTIAL EQUATION [J].