Standard

The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point. / Il'in, Arlen M; Leonychev, Yurii A; Khachay, Oleg Yu.
In: Sbornik: Mathematics, Vol. 201, No. 1, 2010, p. 79-101.

Research output: Contribution to journal › Article › peer-review

Harvard

Il'in, AM, Leonychev, YA & Khachay, OY 2010, 'The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point', Sbornik: Mathematics, vol. 201, no. 1, pp. 79-101. https://doi.org/10.1070/SM2010v201n01ABEH004066

APA

Il'in, A. M., Leonychev, Y. A., & Khachay, O. Y. (2010). The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point. Sbornik: Mathematics, 201(1), 79-101. https://doi.org/10.1070/SM2010v201n01ABEH004066

Vancouver

Il'in AM, Leonychev YA, Khachay OY. The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point. Sbornik: Mathematics. 2010;201(1):79-101. doi: 10.1070/SM2010v201n01ABEH004066

Author

Il'in, Arlen M ; Leonychev, Yurii A ; Khachay, Oleg Yu. / The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point. In: Sbornik: Mathematics. 2010 ; Vol. 201, No. 1. pp. 79-101.

BibTeX

@article{f45fe09df21049f5a035396d66e6abc5,
title = "The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point",
abstract = "The initial value problem for a system of nonlinear ordinary differential equations with a small parameter multiplying the highest derivative is investigated. In a neighbourhood of the initial point the asymptotic behaviour of the solution has quite a complicated structure. A uniform asymptotic approximation to the solution up to an arbitrary power of the small parameter is constructed and substantiated. {\textcopyright} 2010 RAS(DoM) and LMS.",
author = "Il'in, {Arlen M} and Leonychev, {Yurii A} and Khachay, {Oleg Yu}",
year = "2010",
doi = "10.1070/SM2010v201n01ABEH004066",
language = "English",
volume = "201",
pages = "79--101",
journal = "Sbornik: Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point

AU - Il'in, Arlen M

AU - Leonychev, Yurii A

AU - Khachay, Oleg Yu

PY - 2010

Y1 - 2010

N2 - The initial value problem for a system of nonlinear ordinary differential equations with a small parameter multiplying the highest derivative is investigated. In a neighbourhood of the initial point the asymptotic behaviour of the solution has quite a complicated structure. A uniform asymptotic approximation to the solution up to an arbitrary power of the small parameter is constructed and substantiated. © 2010 RAS(DoM) and LMS.

AB - The initial value problem for a system of nonlinear ordinary differential equations with a small parameter multiplying the highest derivative is investigated. In a neighbourhood of the initial point the asymptotic behaviour of the solution has quite a complicated structure. A uniform asymptotic approximation to the solution up to an arbitrary power of the small parameter is constructed and substantiated. © 2010 RAS(DoM) and LMS.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000277376300004

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=77950302191

U2 - 10.1070/SM2010v201n01ABEH004066

DO - 10.1070/SM2010v201n01ABEH004066

M3 - Article

VL - 201

SP - 79

EP - 101

JO - Sbornik: Mathematics

JF - Sbornik: Mathematics

SN - 1064-5616

IS - 1

ER -

ID: 37852935