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 Geometrical properties of point correspondences of three conformal spacesV. S. Bolodurin 3 The weighted $L^1$-integrability of functions and the Parseval equality with respect to multiplicative systemsS. S. Volosivets 15 Special versions of the collocation method for a class of integral equations of the third kindN. S. Gabbasov, S. A. Solov'eva 27 An analog of the Cook theorem for polytopesA. N. Maksimenko 34 A problem with the Frankl and Bitsadze–Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equationM. Kh. Ruziev 43 Brief communications Optimal control in chemical fractionation problemA. V. Arguchintsev, V. P. Poplevko 53 A non-homogeneous regularized problem of dynamics of viscoelastic continuous mediumV. P. Orlov 58