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 MATHEMATICS On a property of a continuous functionYu. F. Borisov 1271 On the Noether theory of functional equations with non-Carleman shiftV. G. Kravchenko 1275 On the theory of nonlinear degenerating elliptic equationsN. V. Krylov 1279 On the separability of the spectrum of a representation of a locally compact abelian groupYu. I. Lyubich, V. I. Matsaev, G. M. Feldman 1282 Stability of a singular integral with respect to the contour of integrationG. M. Magomedov 1285 Approximations on families of Banach spaces and solvability of linear equationsV. A. Trenogin 1288 Approximation by polynomials with weight $e^{-x^2/2}$Geza Froid 1292 On the Friedrichs–Lewy inequality for $B$-hyperbolic operatorsG. L. Chernyshev 1295 Solution of Menger’s problem in the class of compactaM. A. Shtan'ko 1299 MECHANICS Determination of Earth's and Lunar masses based on observations of the motion of “Venus-4”, “Venus-5”, “Venus-6”, and “Venus-7” automatic interplanetary stations moving off the EarthÈ. L. Akim, V. A. Stepaniants, Z. P. Vlasova 1303 FLUID MECHANICS Periodic wave decay in weakly dispersing mediaV. I. Petviashvili 1307 THEORY OF ELASTICITY The behaviour of circular cylindrical panels under the action of axial dynamic compressionE. A. Vol'mir 1310 ASTRONOMY The estimate of SHF adsorption in hydrogen under high pressures according to radioastronomical measurements of UranusA. D. Kuz'min, A. G. Solov'ev 1313 PHYSICS Waveguide structure of a resonator in electron-beam pumped laserO. V. Bogdankevich, N. A. Borisov, B. M. Lavrushin, V. V. Lebedev, A. G. Negodov, S. S. Strel'chenko 1316 “Clarification” of wave barriers for plasma and electromagnetic waves connected with kinetic effectsV. V. Lisitchenko, V. N. Oraevskii 1319 CRYSTALLOGRAPHY Separation of basic system from a vector system when the former includes several identical or inverted $k$-polyhedra. General case, Fedorov's group $P1$È. A. Kuz'min, V. V. Ilyukhin, N. V. Belov 1346