On a singular integral equation with Weierstrass kernel

被引：0

作者：

Khatiashvili, N. ^{[1
]}

机构：

[1] Tbilisi State Univ, I Vekua Inst Appl Math, GE-380086 Tbilisi, Georgia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2008年 / 53卷 / 10期

关键词：

singular integrals; boundary value problems; doubly quasi-periodic functions;

D O I：

10.1080/17476930802187606

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The singular integral equation 1/pi integral(L00) phi(t)zeta(t - t(0))dt = f(t(0)), t(0) is an element of L-00, where L-00 is the union of smooth arcs, zeta(t - t(0))is the Weierstrass 'zeta-function', f(t(0)) is given and phi(t) is an unknown function, is considered. It is proved that the solution of the equation in a Holder class always exists. The effective solutions are obtained by means of boundary value problems for sectionally holomorphic doubly quasi-periodic functions in latticed domains.

引用

页码：915 / 943

页数：29

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