On a Method for Solving a Convolution-Type Equation with the Use of Difference Equations

被引：0

作者：

Gun'ko, O. V. ^{[1
]}

Sulima, V. V. ^{[1
]}

机构：

[1] Kharkiv Natl Univ Econ, Kharkov, Ukraine

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 06期

关键词：

Integral Operator; Difference Equation; Solution Method; Entire Function; Meromorphic Function;

D O I：

10.1134/S0012266111060152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The solution of a convolution-type equation for two unknown compactly supported functions for the case in which the kernel of the integral operator has Fourier transform in the form of the ratio of two polynomials of exponentials and the right-hand side satisfies additional conditions like the evenness-oddness, absence of zeros, etc. is reduced to the solution of a system of difference equations. We suggest a solution method for that system.

引用

页码：892 / 895

页数：4

共 50 条

[1] On a method for solving a convolution-type equation with the use of difference equations
O. V. Gun’ko
V. V. Sulima
Differential Equations, 2011, 47 : 892 - 895
[2] On a suboptimal filtration method for solving convolution-type integral equations of the first kind
Brunner, H
Sizikov, V
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (02) : 292 - 308
[3] ABELS GENERALIZED EQUATION, FOURIER TRANSFORMATION AND CONVOLUTION-TYPE EQUATIONS
SAMKO, SG
DOKLADY AKADEMII NAUK SSSR, 1969, 187 (04): : 743 - &
[4] UNIQUENESS THEOREMS FOR CONVOLUTION-TYPE EQUATIONS
NEWMAN, DJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) : 629 - &
[5] UNIQUENESS THEOREMS FOR CONVOLUTION-TYPE EQUATIONS
BYRNES, JS
NEWMAN, DJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 138 (APR) : 383 - &
[6] Application of Two-Parameter Stabilizing Functions in Solving a Convolution-Type Integral Equation by Regularization Method
M. L. Maslakov
Computational Mathematics and Mathematical Physics, 2018, 58 : 529 - 536
[7] Application of Two-Parameter Stabilizing Functions in Solving a Convolution-Type Integral Equation by Regularization Method
Maslakov, M. L.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (04) : 529 - 536
[8] CONVOLUTION-TYPE INTEGRAL EQUATION WITH N KERNELS
KOMYAK, II
DOKLADY AKADEMII NAUK SSSR, 1968, 179 (02): : 279 - &
[9] Generalized convolution-type singular integral equations
Li, Pingrun
APPLIED MATHEMATICS AND COMPUTATION, 2017, 311 : 314 - 323
[10] DISCRETE CONVOLUTION-TYPE EQUATIONS WITH POWER NONLINEARITY
ASKHABOV, SN
KARAPETIANTS, NK
IAKUBOV, AJ
DOKLADY AKADEMII NAUK SSSR, 1987, 296 (03): : 521 - 524

← 1 2 3 4 5 →