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 13 条

[1] Asymptotic behavior of the resolvent of an unstable Volterra equation with kernel depending on the difference of the arguments [J].