GENERALIZED CHARACTERISTIC SINGULAR INTEGRAL EQUATION WITH HILBERT KERNEL

被引：0

作者：

Karczmarek, Pawel ^{[1
]}

机构：

[1] John Paul II Catholic Univ Lublin, Inst Math & Comp Sci, Al Raclawickie 14, PL-20950 Lublin, Poland

来源：

OPUSCULA MATHEMATICA | 2008年 / 28卷 / 03期

关键词：

singular integral equation; characteristic equation; exact solution; Hilbert kernel;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.

引用

页码：287 / 294

页数：8

共 50 条

[31] An automatic augmented Galerkin method for singular integral equations with Hilbert kernel
Abbasbandy S.
Babolian E.
Korean Journal of Computational and Applied Mathematics, 2001, 8 (2): : 337 - 345
[32] BEHAVIOR OF SINGULAR INTEGRAL WITH HILBERT KERNEL AT WEAK CONTINUITY POINT OF DENSITY
Salimov, R. B.
UFA MATHEMATICAL JOURNAL, 2018, 10 (01): : 80 - 93
[33] An automatic augmented Galerkin method for singular integral equations with Hilbert kernel
Abbasbandy, S.
Babolian, E.
Korean Journal of Computational and Applied Mathematics, 2001, 8 (02): : 337 - 345
[34] SOME KINDS OF SINGULAR INTEGRAL-EQUATIONS OF HILBERT KERNEL WITH CONVOLUTION
SHEN, YX
ACTA MATHEMATICA SCIENTIA, 1989, 9 (04) : 421 - 426
[35] Exact and approximate solutions of a system of singular integral equations with Hilbert kernel
Sheshko, MA
Shulyaev, DS
DIFFERENTIAL EQUATIONS, 1998, 34 (09) : 1233 - 1241
[36] Error Estimates for an Approximation to a Characteristic Singular Integral Equation
V. I. Mitenkov
V. N. Rusak
Differential Equations, 2001, 37 : 439 - 443
[37] Error estimates for an approximation to a characteristic singular integral equation
Mitenkov, VI
Rusak, VI
DIFFERENTIAL EQUATIONS, 2001, 37 (03) : 439 - 443
[38] The behavior of a singular integral with the Hilbert kernel near a point where the density of the integral is weakly continuous
R. B. Salimov
Russian Mathematics, 2012, 56 (6) : 52 - 56
[39] The exact solution of a linear integral equation with weakly singular kernel
Chen, Zhong
Lin, YingZhen
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) : 726 - 734
[40] Asymptotics for a nonlinear integral equation with a generalized heat kernel
Ishige, Kazuhiro
Kawakami, Tatsuki
Kobayashi, Kanako
JOURNAL OF EVOLUTION EQUATIONS, 2014, 14 (4-5) : 749 - 777

← 1 2 3 4 5 →