An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder

被引：2

作者：

Sgibnev, M. S. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 03期

关键词：

system of integrodifferential equations; asymptotic expansion; characteristic equation; exact asymptotics for the remainder;

D O I：

10.1007/s11202-008-0050-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an asymptotic expansion of the solution to a system of first order integrodifferential equations taking into account the influence of the roots of the characteristic equation. We establish exact asymptotics for the remainder in dependence on the asymptotic properties of original functions.

引用

页码：524 / 538

页数：15

共 50 条

[1] An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder
M. S. Sgibnev
Siberian Mathematical Journal, 2008, 49 : 524 - 538
[2] Asymptotic expansion of the solution of an integro-differential equation with exact asymptotics of the remainder
Sgibnev, M. S.
DIFFERENTIAL EQUATIONS, 2008, 44 (04) : 551 - 566
[3] Asymptotic expansion of the solution of an integro-differential equation with exact asymptotics of the remainder
M. S. Sgibnev
Differential Equations, 2008, 44 : 551 - 566
[4] ASYMPTOTIC SOLUTION OF A SINGLE PERTURBATION SYSTEM OF INTEGRODIFFERENTIAL EQUATIONS
SHAPIRO, DA
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1987, (02): : 130 - 130
[5] THEORY OF ASYMPTOTIC DISTRIBUTION AND NUMERICAL SOLUTION OF INTEGRODIFFERENTIAL EQUATIONS
NEUNZERT, H
WICK, J
NUMERISCHE MATHEMATIK, 1973, 21 (03) : 234 - 243
[6] Asymptotic expansion of a solution of a singularly perturbed system of linear equations
Kovrizhnykh, OO
DIFFERENTIAL EQUATIONS, 2005, 41 (10) : 1392 - 1402
[7] Asymptotic Expansion of a Solution of a Singularly Perturbed System of Linear Equations
O. O. Kovrizhnykh
Differential Equations, 2005, 41 : 1392 - 1402
[8] AN ASYMPTOTIC EXPANSION FOR A SOLUTION TO VISCOELASTICITY EQUATIONS
Romanov, Vladimir G.
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2013, 1 (01): : 41 - 61
[9] An estimate for the remainder term of the asymptotics of the fundamental solution to parabolic equations with a small parameter
Frolovitchev, SM
ARCHIV DER MATHEMATIK, 2002, 79 (05) : 385 - 391
[10] An estimate for the remainder term of the asymptotics of the fundamental solution to parabolic equations with a small parameter
S. M. Frolovitchev
Archiv der Mathematik, 2002, 79 : 385 - 391

← 1 2 3 4 5 →