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 MATHEMATICS The structure of primary ideals in the rings of functions integrable with increasing weight on the half axisV. P. Gurarii 991 Investigation of the mixed problem for a certain class of third-order quasilinear differential equationsA. I. Guseinov, G. A. Rasulova 995 Inverse boundary value problems with unknown coefficients for certain quasilinear equationsA. D. Iskenderov 999 Boundary value problems of linear conjugacy for functions holomorphic in bicylindrical domainsV. A. Kakichev 1003 Some remarks on higher order logicS. R. Kogalovskii 1007 Certain systems of symmetric functionsL. A. Lyusternik 1010 The accuracy of the approximation of the distribution of a sum of independent random variables to the normal distributionL. V. Osipov 1013 The word problem for finitely defined semigroupsV. A. Osipova 1017 A certain method of speeding up the convergence of iteration processesV. Ya. Stetsenko 1021 Approximation by analytic functions in the meanV. P. Havin 1025 Infinite Hermitian matrices with operator coefficientsA. L. Chistyakov 1029 MATHEMATICAL PHYSICS Self-adjoint extensions of field operatorsV. P. Gachok 1033 A class of problems with an unknown boundary for the heat conduction equationS. N. Kruzhkov 1036 PHYSICS The tetragonal luminescence centre of the $\mathrm{Eu}^{3+}$ ion in $\mathrm{CaF}_2$G. B. Bokii, L. S. Gaigerova, M. I. Gaĭduk, O. F. Dudnik, È. N. Murav'ev 1039 Enquiry into the structure of the valence zone of indium arsenideYu. M. Burdukov, U. Jumaqulov, Yu. I. Ukhanov 1043 GEOPHYSICS Generalization of electric conductivity data on igneous rocks at high temperatures in connection with the structure of the earth's crust and upper mantleA. T. Bondarenko 1058 Rate of recent earth crust movements as estimated from geologo geomorphological evidence by the methods of statistical analysisL. N. Bylinskaya 1061 Certain data on the nature of geomagnetic field during inversions periodH. Z. Gurarii 1065 HEAT ENGINEERING Indicator efficiency of the internal combustion engineB. S. Stechkin 1069