ON THE THEORY OF NONLINEAR SINGULAR INTEGRAL EQUATIONS OF CAUCHY TYPE.

被引：0

作者：

von Wolfersdorf, Lothar ^{[1
]}

机构：

[1] Bergakademie Freiberg, Freiberg, West Ger, Bergakademie Freiberg, Freiberg, West Ger

来源：

Mathematical Methods in the Applied Sciences | 1985年 / 7卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the investigation of two classes of nonlinear singular integral equations with Cauchy kernel important in the applications. There are given uniqueness and existence theorems, the last by a novel application of Schauder's fixed point theorem to this type of equations.

引用

页码：493 / 517

共 50 条

[1] ON SOME SINGULAR INTEGRAL EQUATIONS OF THE CAUCHY TYPE
ELLIOTT, J
ANNALS OF MATHEMATICS, 1951, 54 (02) : 349 - 370
[2] A collocation method for nonlinear Cauchy singular integral equations
Junghanns, P
Müller, K
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 115 (1-2) : 283 - 300
[3] On collocation methods for nonlinear Cauchy singular integral equations
Junghanns, P
Müller, K
Rost, K
TOEPLITZ MATRICES AND SINGULAR INTEGRAL EQUATIONS: THE BERND SILBERMANN ANNIVERSARY VOL, 2002, 135 : 209 - 233
[4] ON SOLUTION OF A CLASS OF NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNEL
Abdullayev, Fuad A.
Gasymova, Nushaba F.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 36 (44): : 3 - 8
[5] On the solvability of nonlinear singular integral equations with Cauchy kernel on an interval
Amer, S. M.
Nagdy, A. S.
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2007, 50 (04): : 283 - 294
[6] Optimal control for a parametrized family of nonlinear Cauchy singular integral equations
Junghanns, P
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 164 : 431 - 454
[7] Collocation for Cauchy singular integral equations
Junghanns, Peter
Kaiser, Robert
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (03) : 729 - 770
[8] SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNELS
TRJITZINSKY, WJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 60 (SEP) : 167 - 214
[9] SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNELS
TRJITZINSKY, WJ
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 51 (01) : 63 - 63
[10] Stability of Cauchy-type Singular Integral Equations over an Interval
Yong Jia Xu
Acta Applicandae Mathematica, 2004, 84 : 263 - 277

← 1 2 3 4 5 →