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.
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页码：23 / 29
页数：7
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