Integral equations with Hilbert kernel

被引：3

作者：

Kamalyan, A. G. ^{[1
,2
]}

Stepanyan, A. G. ^{[2
]}

Topikyan, G. M. ^{[2
]}

机构：

[1] Armenian Natl Acad Sci, Inst Math, Yerevan, Armenia

[2] Yerevan State Univ, Yerevan 375049, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2012年 / 47卷 / 02期

关键词：

Integral equation; Hilbert kernel; factorization;

D O I：

10.3103/S106836231202001X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An integral equation with Hilbert's kernel and with coefficients from L (a) is considered. It is known, that the problem of solvability of this equation comes to a factorization of some matrix-function. An explicit factorization of the above mentioned matrix-function is constructed. A description of kernel and cokernel of corresponding integral operator is provided.

引用

页码：51 / 61

页数：11

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