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.
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页码：915 / 943
页数：29
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