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.
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页码：892 / 895
页数：4
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