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 MATHEMATICS Rings without nilpotent elements, and completely prime idealsV. A. Andrunakievich, Yu. M. Ryabukhin 9 On the theory of integral representations of holomorphic functionsI. I. Bavrin 12 Type $s$ mappings of locally convex spacesB. S. Brudovskii 15 Application of a continuous analogue of Newton's method to approximate solution of a non-linear boundary value problemE. P. Zhidkov, I. V. Puzynin 18 Investigation of small solutions of a certain class of nonlinear operator equationsV. M. Krasnosel'skii 22 $s$-capacity and the behavior of the solution of a second order elliptic equation with discontinuous coefficients in the neighborhood of a boundary pointE. M. Landis 25 An analogue of the Hardy-Littlewood equationA. A. Polyanskii 29 The order of the neighborhood of maximal intervals for almost all functions of the algebra of logicA. A. Sapozhenko 32 The initial value problem for general systems of partial differential equations with constant coefficientsF. G. Selezneva 36 CYBERNETICS AND THE REGULATION THEORY Local principles in animal behaviourG. A. Golitsyn 39 THEORY OF ELASTICITY The theory of elasticity and the deformation theory of plasticity for solids with various properties as regards compression, tension and torsionV. M. Panferov 41 MATHEMATICAL PHYSICS Boundary value problems in linear plasma electrodynamicsYu. N. Dnestrovskii, D. P. Kostomarov 45 Variation principle in quantum kineticsN. R. Sibgatullin 48 PHYSICS Heterocontact between semiconductor and dielectric with an electron trap in the layer close to the contactÈ. I. Adirovich, L. A. Doubrovsky 52 Radiation conditions of a gas laser with annular cavityÈ. M. Belenov, A. N. Oraevsky 56 Optical quantum generator with a combined active mediumA. A. Kaminskii 59 Phase problem and the correlation properties of X-ray beamsA. V. Kolpakov, R. N. Kuz'min 63 Nature of anomalously high photovoltage in $\mathrm{GdTe}$ filmsM. I. Korsunskii, M. M. Sominskii, B. A. Zubarev 66 A contribution to the theory of the radiational Q-factor of a dielectric cavityV. I. Kurilko 70 Electric conductivity of heterogenic mediaV. V. Rzhevskii, Yu. I. Protasov, A. G. Sarkisova 73 On the analysis of non-elastic proton-neutron collisions at 20 GevZh. S. Takibaev, È. H. Boos, R. A. Tursunov 75 GEOPHYSICS Some constants of troposphere and ionosphere as related to variations of solar wind velocitiesR. V. Smirnov 88