On a method for solving a convolution-type equation with the use of difference equations |
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| Authors: | O V Gun’ko V V Sulima |
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| Institution: | 1.Kharkiv National University of Economics,Kharkiv,Ukraine |
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| Abstract: | 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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| Keywords: | |
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