Результаты исследований: Вклад в журнал › Статья › Рецензирование
Результаты исследований: Вклад в журнал › Статья › Рецензирование
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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