Asymptotics of solutions of an integro-differential and an integral equation

被引：1

作者：

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

机构：

[1] Russian Acad Sci, Inst Math, Siberian Branch, Novosibirsk 630090, Russia

来源：

DIFFERENTIAL EQUATIONS | 2006年 / 42卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

Integral Equation; Asymptotic Expansion; Characteristic Equation; Measure Versus; Banach Algebra;

D O I：

10.1134/S0012266106090072

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 of a first-order integro-differential equation taking into account the influence of the roots of the characteristic equation. We establish a similar expansion for the solution of the Volterra equation with a difference kernel. © Pleiades Publishing, Inc., 2006.

引用

页码：1291 / 1301

页数：11