Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics

被引：1

作者：

Lifanov, I. K. ^{[1
]}

Nenashev, A. S. ^{[1
]}

机构：

[1] Air Force Engn Acad, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2007年 / 43卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Hilbert Space; Singular Integral Equation; Inversion Formula; Test Vector; Suction Device;

D O I：

10.1134/S0012266107060122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：862 / 872

页数：11

共 50 条

[41] Integral Equations for Nonstationary Problems of Electrodynamics in Material Media
A. B. Samokhin
Differential Equations, 2002, 38 : 1371 - 1374
[42] On some exact solutions of singular integral equations in the class of generalized functions and their numerical computation
Lifanov, IK
Lifanov, PI
DIFFERENTIAL EQUATIONS, 2004, 40 (12) : 1770 - 1780
[43] INTEGRAL EQUATIONS OF FIRST KIND IN SOME PROBLEMS OF ELECTRODYNAMICS
VASILEV, EN
MALUSHKO.GD
FALUNIN, AA
SOVIET PHYSICS TECHNICAL PHYSICS-USSR, 1967, 12 (03): : 303 - &
[44] Reproducing Kernel Hilbert Spaces and the Associated Integral Equations
Das, N.
Lal, R. P.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2015, 5 (02): : 21 - 36
[45] SOME KINDS OF SINGULAR INTEGRAL EQUATIONS OF HILBERT KERNEL WITH CONVOLUTION
沈永祥
ActaMathematicaScientia, 1989, (04) : 421 - 426
[46] SINGULAR INTEGRAL EQUATIONS IN CLASSES OF LIPSCHIZS FUNCTIONS
MIKHLIN, SG
DOKLADY AKADEMII NAUK SSSR, 1961, 138 (03): : 541 - &
[47] A Direct Method of Solving Singular Integral Equations with the Hilbert Kernel
Kadushin, V. P.
Shakirov, A. I.
RUSSIAN MATHEMATICS, 2009, 53 (06) : 53 - 57
[48] GENERALIZED SINGULAR FUNCTIONS IN LOWER LORENTZ SPACES
NIEMINEN, I
NUCLEAR PHYSICS, 1962, 37 (02): : 250 - &
[49] Nonlinear singular integral equations in elastodynamics by using Hilbert transformations
Ladopoulos, EG
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (03) : 531 - 536
[50] A direct method of solving singular integral equations with the Hilbert kernel
V. P. Kadushin
A. I. Shakirov
Russian Mathematics, 2009, 53 (6) : 53 - 57

← 1 2 3 4 5 →