Solution of Singular Integral Equations by the Method of Oscillating Functions

被引：0

作者：

Ermolaeva, L. B. ^{[1
]}

机构：

[1] Kazan State Univ Architecture & Engn, Ul Zelyonaya 1, Kazan 420043, Russia

来源：

RUSSIAN MATHEMATICS | 2009年 / 53卷 / 12期

关键词：

singular integral equation with the Hilbert kernel; convergence in mean; uniform convergence; error estimates;

D O I：

10.3103/S1066369X09120044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a singular integral equation with the Hilbert kernel in the space of square summable complex-valued 2 pi-periodic functions with the usual norm. We theoretically justify the proposed method, establish its convergence, and estimate the error.

引用

页码：23 / 29

页数：7

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