Steplike Contrast Structure in a Singularly Perturbed System of Equations with Different Powers of Small Parameter

被引：19

作者：

Butuzov, V. F. ^{[1
]}

Levashova, N. T. ^{[1
]}

Mel'nikova, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

singularly perturbed system of second-order differential equations; small parameter; asymptotic solution method;

D O I：

10.1134/S096554251211005X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A singularly perturbed boundary value problem for a system of equations with different powers of a small parameter is considered in the one-dimensional case. The asymptotic behavior and existence of a solution with an internal transition layer are analyzed. The asymptotics are substantiated using the asymptotic method of differential inequalities. DOI: 10.1134/S096554251211005X

引用

页码：1526 / 1546

页数：21