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1977, Volume 233, Number 5  


MATHEMATICS
Estimates of the moduli of continuity of functions in the spaces $B_{p,\theta}^{a,\varphi}$ and $H_{\varphi,\theta}$ and their applications
M. Z. Berkolaiko
761
On the uniqueness of Boltzmann's $H$-function
V. V. Vedenyapin
765
Infinite-dimensional parabolic equations connected with stochastic partial differential equations
M. I. Vishik, A. I. Komech
769
On a constructive characterization of Sobolev and Besov classes
E. M. Dyn'kin
773
On an iterative method of solving difference problems in elasticity theory
G. M. Kobel'kov
776
On adaptive control of some classes of Markov chains
M. G. Konovalov
780
Ninth-order quadrature formulas invariant with respect to the icosahedral group
S. I. Konyaev
784
On two general approaches to factorization theorems in dimension theory
A. G. Nemets, B. A. Pasynkov
788
On a new problem of moment problem type
A. A. Nudelman
792
Integral representations, in terms of the solution of equations with regular coefficients, for some classes of differential equations of elliptic type
N. Radjabov
796
Odules as a new approach to a geometry with a connection
L. V. Sabinin
800

CYBERNETICS AND THE REGULATION THEORY
Application of Karlin polynomials to the solution of the prediction problem
O. V. Abramov, M. Ya. Zinger, R. F. Farkhutdinova
804
Principle of the majorizing system in the problem of analytic study of linear nonstationary control systems of one class
V. A. Kiselev
808

FLUID MECHANICS
Nonsteady hydroelastic oscillations of a thick-walled sphere
È. I. Grigolyuk, A. G. Gorshkov, D. V. Tarlakovskii
812
On the correlation of Tait equation
D. S. Tsiklis, V. Ya. Maslennikova, V. A. Abovskiy
816

THEORY OF ELASTICITY
Some forms of the equations of shell theory
V. L. Berdichevsky
820
The St. Venant principle for the mixed problem of elasticity theory and its applications
O. A. Oleinik, G. A. Iosif'yan
824

GEOPHYSICS
Microwave remote indication of productive moisture reserves in soil
K. Ya. Kondrat'ev, Yu. I. Rabinovich, E. M. Shul'gina, V. V. Melent'ev
828

MATHEMATICAL PHYSICS
Method of solving the equations of mathematical physics for conjugate domains
V. V. Vasil'ev, S. A. Lur'e
831
Exact solution of the problem of vibrations of a plate clamped along the contour
G. Ya. Popov
835

PHYSICS
Electroionization synthesis of nitrogen-containing compounds
N. G. Basov, V. A. Danilychev, V. I. Panteleev, V. I. Popovichev, V. V. Ragulsky, A. F. Suchkov, F. S. Faĭzullov, Yu. N. Shebeko, A. M. Alekseev, È. V. Gorozhankin, V. T. Pendrakovskii, V. V. Kurenkov
839
Calculation of energy spectrum of a quantum-mechanical system using integrals along the paths
A. M. Evseev, V. P. Dmitriev
842
On Hall effect at quantum diffusion in crystals
M. I. Klinger
846
 
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