Abstract
A class of systems of integral equations having periodic solutions are considered, the infinite limits of integrals in the system of integral equations are reduced to the integrals on (-1, 1) with respect to Szego-Bernstein weights, the Fourier series of unknown functions for separable kernels of the system of integral equations are applied and then the system of equations is solved to obtain the related unknown coefficient of the Fourier series expansions. Finally, numerical examples are presented to illustrate the very high accuracy of the method and related tables are given.
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