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 MATHEMATICS On the recovery of higher-order differential operators by means of a system of their spectraE. A. Baranova 1271 A bilateral difference method for nonlinear and spectral problems in ordinary differential equationsE. A. Volkov 1274 Functions of generalized bounded variation, convergence of their Fourier series and conjugate trigonometric seriesB. I. Golubov 1277 On the theory of admissibility of pairs of function spacesV. V. Zhikov 1281 Reducibility of uniform structuresA. A. Ivanov 1284 A negative solution to the problem of the convergence in the $L_p^\alpha$ metric ($p\ne2$) of the spectral decomposition of a function in $L_p^\alpha$ with compact supportV. A. Il'in 1286 On the existence and uniqueness theorem for quasi-conformal mappings with unbounded characteristicsV. I. Kruglikov 1289 On the invertibility of elliptic partial differential operatorsÈ. Muhamadiev 1292 On the growth of sums of independent random variablesV. V. Petrov 1296 On a class of correspondence categoriesD. A. Raikov 1300 On Minkowski’s conjecture for $n=5$B. F. Skubenko 1304 Generalized supersoluble groups with systems of complemented Abelian subgroupsS. N. Chernikov 1306 On $E$-compact spacesA. P. Shostak 1310 Harmonic mappings of domains bounded by spheresA. Yanushauskas 1313 FLUID MECHANICS On the Zemplen's theorem for shock waves in plasma with anisotropic pressureM. D. Kartalev 1316 MATHEMATICAL PHYSICS Noncanonical forms of the transport equationD. A. Kozhevnikov, Sh. K. Nasibullaev 1320 PHYSICS The measurement of complex shear modulus of liquidsU. B. Bazaron, B. V. Deryagin, O. R. Budaev 1324 On the problem of gaseous laser combined pimpingE. P. Velikhov, I. V. Novobrantsev, V. D. Pis'mennyi, A. T. Rakhimov, A. N. Starostin 1328 GEOPHYSICS On the possibilities of geomagnetic field evolution calculationB. L. Gavrilin, A. S. Monin 1349