ON A CLASS OF SINGULAR INTEGRAL EQUATIONS WITH T ANSLATIONS

被引：5

作者：

杜金元

路见可

机构：

[1] Dedicated to the Tenth Anniversary of CAM Department of Mathematics WuhanUniversity

[2] Hubei

[3] China

[4] Wuhan University

来源：

Chinese Annals of Mathematics | 1990年 / 01期

关键词：

一夕; 么二; 一么;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper,singular integral equations with upper and lower translations arediscussed and the equivalence for solving them in and are shown.Equations with asingle pair of upper and lower translations are studied in detail.Their solutions as wellas the conditions of solvability are obtained.The method used consists of transferringthem to boundary value problems of analytic functions in upper and lower half-planesand then solving the latter.

引用

页码：105 / 117

页数：13

共 50 条

[31] ON THE SOLUTION TO A CLASS OF STRONGLY SINGULAR LINEAR INTEGRAL-EQUATIONS
GAUTESEN, AK
QUARTERLY OF APPLIED MATHEMATICS, 1992, 50 (01) : 129 - 140
[32] Effective estimates for the number of solutions of a class of singular integral equations
Kiyasov, SN
DIFFERENTIAL EQUATIONS, 2002, 38 (09) : 1268 - 1276
[33] CLASS OF SYSTEMS OF SINGULAR INTEGRAL-EQUATIONS ON A BOUNDED DOMAIN
DZURAEV, A
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1979, 83 : 347 - 364
[34] DIRECT METHODS FOR THE SOLUTION OF A CLASS OF SINGULAR INTEGRAL-EQUATIONS
GABDULKHAEV, BG
KHAZIRISHI, EO
DIFFERENTIAL EQUATIONS, 1986, 22 (03) : 367 - 372
[35] On the numerical solution of a class of singular integral equations on an infinite interval
Sanikidze D.G.
Differential Equations, 2005, 41 (9) : 1353 - 1358
[36] Effective Estimates for the Number of Solutions of a Class of Singular Integral Equations
S. N. Kiyasov
Differential Equations, 2002, 38 : 1268 - 1276
[37] NETERS THEOREMS FOR A CLASS OF SINGULAR INTEGRAL EQUATIONS WITH DISPLACEMENT AND CONJUGATION
LITVINCH.GS
DOKLADY AKADEMII NAUK SSSR, 1965, 162 (01): : 26 - &
[38] SOLUTION OF A CERTAIN CLASS OF SINGULAR INTEGRAL EQUATIONS WITH LINE INTEGRALS
KIM, EI
DOKLADY AKADEMII NAUK SSSR, 1957, 113 (01): : 24 - 27
[39] Fast Multiscale Collocation Methods for a Class of Singular Integral Equations
张永东
陈仲英
Northeastern Mathematical Journal, 2006, (02) : 206 - 218
[40] Existence results for a class of nonlinear singular integral equations with shift
Amer, SM
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2005, 120 (03): : 313 - 333

← 1 2 3 4 5 →