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 A method for the localization of singularities of a solution to a convolution-type equation of the first kind with a step kernelA. L. Ageev, T. V. Antonova 3 Codistributive elements of the lattice of semigroup varietiesB. M. Vernikov 13 New series of weakly implicative selector setsA. N. Dyogtev 22 One approach to the solution of Volterra integral equations with degenerate kernelsV. I. Zhegalov, I. M. Sarvarova 28 Solvability of mixed-type optimal control problems for distributed systemsM. V. Plekhanova, A. F. Islamova 37 A theorem on properties of sample functions of a random field and generalized random fieldsS. L. Starodubov 48 The use of discrete dyadic wavelets in image processingYu. A. Farkov, S. A. Stroganov 57 Distributive and neutral elements of the lattice of commutative semigroup varietiesV. Yu. Shaprynskii 67 The continuous dependence of solutions to algebraic differential systems on the initial dataA. A. Shcheglova 80 $N$-homogeneous $C^*$-algebras generated by idempotentsM. V. Shchukin 94 News of mathematical life 104