Multilinear Volterra equations of the first kind

被引：17

作者：

Apartsyn, AS ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Melentiev Energy Syst Inst, Irkutsk 664003, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2004年 / 65卷 / 02期

关键词：

Mechanical Engineer; System Theory; Pivotal Role; Integral Inequality; Volterra Equation;

D O I：

10.1023/B:AURC.0000014723.06564.f4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Lambert function is used to derive unimprovable estimates for the solutions of nonlinear integral inequalities that play a pivotal role in the study of multilinear Volterra equations of the first kind.

引用

页码：263 / 269

页数：7

共 15 条

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[2]

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[3]

APARTSYN AS, 1999, NEKLASSICHESKIE URAV

[4]

APARTSYN AS, 2001, MAT 6 MEZH SEM SOV K, P5

[5]

APARTSYN AS, 2001, T 12 BAIK MEZH K MET, V4, P20

[6]

APARTSYN AS, 1992, ISEMA 92, P288

[7]

APARTSYN FS, 2002, P INT C COMP MAT NOV, P322

[8]

Brunner H., 1986, The Numerical Solution of Volterra Equations

[9] On the Lambert W function [J].

Corless, RM ;

Gonnet, GH ;

Hare, DEG ;

Jeffrey, DJ ;

Knuth, DE .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 5 (04) :329-359

[10]

Hutson V.C. L., 1983, APPL FUNCTIONAL ANAL

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