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

[21] A QUADRATURE METHOD FOR SYSTEMS OF CAUCHY SINGULAR INTEGRAL EQUATIONS
De Bonis, M. C.
Laurita, C.
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2012, 24 (02) : 241 - 271
[22] Collocation methods for Cauchy singular integral equations on the interval
Junghanns, P
Rogozhin, A
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2004, 17 : 11 - 75
[23] THE COLLOCATION METHODS FOR SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNELS
杜金元
Acta Mathematica Scientia, 2000, (03) : 289 - 302
[24] COMPUTING THE SINGULAR BEHAVIOR OF SOLUTIONS OF THE CAUCHY SINGULAR INTEGRAL-EQUATIONS
SRIVASTAV, RP
APPLIED MATHEMATICS LETTERS, 1992, 5 (06) : 95 - 98
[25] MIDPOINT COLLOCATION FOR CAUCHY SINGULAR INTEGRAL-EQUATIONS
CHANDLER, GA
NUMERISCHE MATHEMATIK, 1992, 62 (04) : 483 - 509
[26] The collocation methods for singular integral equations with Cauchy kernels
Du, JY
ACTA MATHEMATICA SCIENTIA, 2000, 20 (03) : 289 - 302
[27] SINGULAR INTEGRAL-EQUATIONS WITH ONE-DIMENSIONAL AND MULTIPLE INTEGRALS OF CAUCHY TYPE
LIFANOV, IK
DOKLADY AKADEMII NAUK SSSR, 1978, 239 (02): : 265 - 268
[28] THE USE OF PIECEWISE QUADRATIC POLYNOMIALS FOR THE SOLUTION OF SINGULAR INTEGRAL-EQUATIONS OF CAUCHY TYPE
GERASOULIS, A
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1982, 8 (01) : 15 - 22
[29] On the Semi-bounded Solution of Cauchy Type Singular Integral Equations of the First Kind
Abdulkawi, M.
Eshkuvatov, Z. K.
Long, N. M. A. Nik
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2009, 2 (03): : 462 - 472
[30] Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions
Li, Pingrun
APPLIED MATHEMATICS AND COMPUTATION, 2019, 344 : 116 - 127

← 1 2 3 4 5 →