Solution of Certain Weakly Singular Integral Equations of the First Kind with Indefinite Parameters

被引：0

作者：

Surai, L. A. ^{[1
]}

机构：

[1] Kazan State Energy Univ, 51 Krasnoselskaya Str, Kazan 420066, Russia

来源：

RUSSIAN MATHEMATICS | 2009年 / 53卷 / 06期

关键词：

two-dimensional integral equation of the first kind; logarithmic kernel; inversion formulas for an integral operator;

D O I：

10.3103/S1066369X09060073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a two-dimensional weakly singular integral equation of the first kind with logarithmic kernel. We construct a pair of spaces of the desired elements and the right-hand sides, where we prove the correctness of the problem under consideration and obtain inversion formulas for the integral operator.

引用

页码：44 / 48

页数：5

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