This paper discusses the question of finding an approximate solution of equation (2) by a procedure of the Galerkin type for any index. A theorem on the convergence ol the approximate solution to the exact solution in space $L_2$ is proved. An example on the shore refraction of a plane electromagnetic wave is solved.
Citation Example:Ivanov V. V., Karagodova E. A. Approximate solution of singular integral equations of the convolution type by Galerkn's method // Ukr. Mat. Zh. - 1961. - 13, № 1. - pp. 28-38.