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 MATHEMATICS Generalized integral representations in the case of a polycylinderI. I. Bavrin 9 On some topological invariants of nonlinear Fredholm mappingsYu. G. Borisovich, Yu. I. Sapronov 12 On automaton and “tape” complexity of the predicate “to be a $k$-th power of an integer”Yu. Ya. Breitbart 16 On Banach and Dedekind completeness of spaces of continuous functions, vector lattices and maximal rings of quotientsA. I. Veksler 20 On solvability of mixed problems for a class of quasi-linear differential equationsV. P. Grigor'ev 24 Global solvability of multidimensional difference equations and a construction of Spencer typeA. A. Dezin 28 Boundary value problems for some classes of high-order differential operator equationsYu. A. Dubinskii 32 On the Riemann–Hilbert problem for a multiply connected domainL. E. Dunduchenko 35 The asymptotics of growth trajectories in Gale–von Neumann modelsI. A. Krass 38 Functors in the category of vector spacesV. V. Kuznetsov, A. S. Schwarz 40 The spectral properties of selfadjoint and nonselfadjoint Schrödinger operators in infinite domainsKh. Kh. Murtazin 44 On invertibility of differential operators in the space of continuous functions bounded on the real axisÈ. Muhamadiev 47 On the growth of $Q$-pseudomeromorphic functionsV. P. Petrenko 50 On small differences between “neighboring” prime idealsA. V. Sokolovskii 53 On the solution of a mixed boundary problemA. G. Terent'ev 57 Differential properties for solutions of a class of partial differential equations in unbounded regionsS. V. Uspenskii 61 ASTRONOMY On a model of Uranus radio-emissionA. D. Kuz'min 65 The model of Venus atmosphereM. Ya. Marov 67 PHYSICS Criteria of thermal (overheat) instability of transparent radiating gasA. V. Getling, V. V. Kuzmin, B. A. Tverskoi 71 The energy of interaction between neutral atoms in an external magnetic fieldA. V. Tulub, M. D. Bal'makov, S. A. Khallaf 75 GEOPHYSICS On sedimentary deposits of the South-Okhotsk abyssal depressionS. S. Snegovskoi 87 CRYSTALLOGRAPHY The structure of $\mathrm{K}[\mathrm{MoO}_2\mathrm{Cl}_2\mathrm{H}_2\mathrm{O}]_3\mathrm{Cl}$ crystalsL. O. Atovmyan, O. N. Krasochka 91