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 MATHEMATICS Transformation operators and a uniqueness theorem in the inverse problem for a second order differential equation with operator-valued coefficientsA. A. Androshchuk 9 On decompositions of elements of partially ordered algebraic systems into intersections of prime elementsV. A. Andrunakievich, Yu. M. Ryabukhin 13 On operator nodes and their characteristic functionsV. M. Brodskii 16 Smoothness of solutions of degenerate differential equations in Banach spaceV. P. Glushko 20 On a new approach to the construction and justification of methods of the Adams typeA. D. Gorbunov 23 The effect of the regular part in singular integral equations in a two- dimensional bounded regionA. Dzhuraev 27 Construction of Cauchy kernel analogs and closed-form solution of the Riemann boundary value problem for a complex contour on a Riemann surfaceE. I. Zverovich 31 On complexity of Boolean function minimizationM. I. Kanovitch 35 On the variational-difference method for one-dimensional boundary value problemsS. G. Mikhlin 39 An example of a twodimensional Riemannian metric admitting no local realization in $\mathrm{E}_3$A. V. Pogorelov 42 The differential equations for the probabilities of the states of a systemV. S. Pugachev 44 The Steiner problem on graphsP. S. Soltan, K. F. Prisakaru 46 Boundary value problems for parabolic systems of pseudodifferential equationsČan Zui Ho, G. I. Èskin 50 Asymptotic solution of a boundary value problem for an elliptic equation degenerating with respect to a small parameter into a parabolic equationR. S. Èfendiev 54 CYBERNETICS AND THE REGULATION THEORY On a method of optimal transformation of signals from several instrumentsT. M. Zolotova 58 Method of solution to multicriteria problems of complex chemico technological system controlV. V. Kafarov, G. B. Lazarev, V. I. Avdeev 62 Least squares method in the identification of dynamic systemsYu. P. Leonov 64 An experiment on computer prognostication of influenza epidemicL. A. Rvachev 68 HYDRODYNAMICS Dynamics of liquid drop destruction in a gas flowS. M. Kogarko, B. E. Gel'fand, S. A. Gubin, A. A. Borisov 71