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 MATHEMATICS The Dirichlet problem for equations with coefficients which belong to spaces with mixed normA. H. Gudiev 1023 Certain properties of the positive solutions of evolutionary hypoelliptic equationsS. D. Èidel'man, V. A. Kondratiev 1027 Growth of meromorphic functions of finite lower orderV. P. Petrenko 1031 Selfadjoint extensions of differential operators in a space of vector-valued functionsF. S. Rofe-Beketov 1034 A special class of finite-dimensional subspaces of a Banach spaceV. S. Rublev 1038 Imbedding theorems for functions which are defined in unbounded regions, and their application to the spectral theory of elliptic selfadjoint operatorsJ. V. Rybalov 1041 Imbedding theorems and best approximationsP. L. Ul'yanov 1044 The limit theorem for the number of classes of primitive quadratic forms with negative determinantA. S. Fainleib 1048 A bicompactum with noncoinciding inductive dimensionsV. V. Filippov 1050 The minimization of a quadratic functional generated by a linear operator in normed spacesZ. I. Khalilov, B. N. Panaioti 1054 Function-class optimal methods of computing eigenvalues of a Fredholm integral operatorA. F. Shapkin 1057 MECHANICS Stability of second-order dynamic systemsK. F. Voitsekhovskaya 1061 Arrangement of uniaxial regular gear mechanisms according to combinatorial schemesM. S. Rozovskii 1065 FLUID MECHANICS Lagrangian description of the dynamics of turbulent motionB. Ya. Lyubimov 1069 MATHEMATICAL PHYSICS Scale similitude for random fieldsE. A. Novikov 1072 The asymptotic behavior of certain subsequences of eigenvalues of boundary value problems for the Helmholtz equation in higher dimensionsM. M. Popov 1076 PHYSICS Quasioptic potential in some simple models of quantum field theoryV. D. Kukin 1080 The plastic deformation anisotropy of single $\mathrm{GaAs}$ crystals, as influenced by alloying additivesV. B. Osvenskii, L. P. Kholodniy, M. G. Mil'vidskii 1084