On the asymptotics of the solution of a system of linear equations with two small parameters

被引：2

作者：

Danilin, A. R. ^{[1
]}

Kovrizhnykh, O. O. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Cauchy Problem; Asymptotic Expansion; Small Parameter; Vector Function; Asymptotic Solution;

D O I：

10.1134/S0012266108060025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problem for a system of two linear ordinary differential equations with two independent small parameters multiplying the derivatives. Estimates for the terms in the asymptotic expansion of the solution are obtained. Recursion formulas for the efficient computation of terms of the inner expansion are given.

引用

页码：757 / 767

页数：11