Integral equations with Hilbert kernel

被引：0
|
作者：
A. G. Kamalyan
A. G. Stepanyan
G. M. Topikyan
机构：
[1] Armenian National Academy of Sciences,Institute of Mathematics
[2] Yerevan State University,undefined
来源：
Journal of Contemporary Mathematical Analysis | 2012年 / 47卷
关键词：
Integral equation; Hilbert kernel; factorization; 45E99; 45F15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An integral equation with Hilbert’s kernel and with coefficients from L∞ 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.
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页码：51 / 61
页数：10
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