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

共 50 条

[1] On the asymptotics of the solution of a system of linear equations with two small parameters
A. R. Danilin
O. O. Kovrizhnykh
Differential Equations, 2008, 44 : 757 - 767
[2] Asymptotics for the solution of the linear ordinary differential system with two small parameters
Il'in, A.M.
Kovrizhnykh, O.O.
Doklady Akademii Nauk, 2004, 396 (01) : 23 - 24
[3] ASYMPTOTICS FOR THE GENERAL-SOLUTION OF LINEAR SINGULARLY PERTURBED SYSTEM WITH 2 SMALL PARAMETERS
YAKOVETS, VP
DIFFERENTIAL EQUATIONS, 1993, 29 (02) : 208 - 216
[4] Asymptotics of the Solution of a Parabolic Linear System with a Small Parameter
Omuraliev, A. S.
DIFFERENTIAL EQUATIONS, 2019, 55 (06) : 862 - 866
[5] Asymptotics of the Solution of a Parabolic Linear System with a Small Parameter
A. S. Omuraliev
Differential Equations, 2019, 55 : 862 - 866
[6] Asymptotics of the Solution to the Cauchy Problem for Linear Parabolic Equations of Second Order with Small Diffusion
V. M. Khametov
Mathematical Notes, 2000, 68 : 775 - 789
[7] Asymptotics of the solution to the Cauchy problem for linear parabolic equations of second order with small diffusion
Khametov, VM
MATHEMATICAL NOTES, 2000, 68 (5-6) : 775 - 789
[8] Asymptotics of a solution to a problem of optimal boundary control with two small cosubordinate parameters
Danilin, A. R.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2020, 26 (01): : 102 - 111
[9] Asymptotics of the solution to a singularly perturbed timeoptimal control problem with two small parameters
Danilin, A. R.
Kovrizhnykh, O. O.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2019, 25 (02): : 88 - 101
[10] LONG-WAVE ASYMPTOTICS OF THE SOLUTION OF A NONLINEAR-SYSTEM OF EQUATIONS WITH SMALL DISSIPATION
KALYAKIN, LA
SIBERIAN MATHEMATICAL JOURNAL, 1987, 28 (03) : 433 - 443

← 1 2 3 4 5 →