Riemann problem and singular integral equations with coefficients generated by piecewise constant functions

被引：4

作者：

Karelin, A. A. ^{[1
]}

Perez Lechuga, G. ^{[1
]}

Tarasenko, A. A. ^{[1
]}

机构：

[1] Univ Autonoma Estado Hidalgo, Pachuca Hidalgo, Mexico

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 09期

关键词：

D O I：

10.1134/S0012266108090048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a Riemann boundary value problem with a shift into the interior of the domain. The problem has piecewise constant coefficients that take two values. We find conditions for the existence and uniqueness of a solution of the inhomogeneous problem and formulas for the number of linearly independent solutions of the homogeneous problem. We consider scalar singular integral operators with a shift and matrix characteristic operators whose coefficients are generated by piecewise constant functions and which have automorphic properties. For these operators, we find invertibility conditions.

引用

页码：1225 / 1235

页数：11

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