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1969, Volume 187, Number 4  


MATHEMATICS
Equations with monotone and potential operators in Banach spaces
M. M. Vainberg, I. M. Lavrent'ev
711
Topological entropy of a countable Markov chain
B. M. Gurevich
715
Certain direct and inverse theorems in the theory of best approximations of functions by algebraic polynomials
Arif S. Dzhafarov
719
Solution of the Dirichlet problem for a nonlinear elliptic equation by the introduction of a continuous parameter
E. P. Zhidkov, G. I. Makarenko
723
The completeness of systems of analytic functions that are generated by successive derivatives of analytic functions
I. I. Ibragimov
726
The Green's matrix of an inhomogeneous parabolic boundary value problem
S. D. Ivasishen
730
The $\varepsilon$-quasiconformal mappings of a ball onto a ball
V. M. Miklyukov
734
A new boundary value problem for a certain degenerate hyperbolic equation
A. M. Nakhushev
736
Mappings which are quasiconformal in the mean
I. N. Pesin
740
Abel's generalized equation, Fourier transform, and convolution type equations
S. G. Samko
743
Existence and almost everywhere regularity of minimal compacta with given homology properties
A. T. Fomenko
747

CYBERNETICS AND THE REGULATION THEORY
Microcontrol and diagnosis of faults in digital computers
A. F. Volkov, V. A. Vedeshenkov, V. D. Zenkin
750

THEORY OF ELASTICITY
Conditions at the end of a crack
L. A. Galin, Ya. B. Friedman, G. P. Cherepanov, E. M. Morozov, V. Z. Parton
754

MATHEMATICAL PHYSICS
The method of eigenfunctions in an incorrectly posed problem of linear radiator synthesis
L. D. Bakhrakh, S. D. Kremenetskii
758
On the reduction of a certain class of integral equations of the first kind to equations of the second kind
Ya. N. Fel'd
761

PHYSICS
Hall's effect and galvanomagnetic effect of thin films of nickel-copper alloys
R. G. Annaev, G. Myalikgulyev, L. S. Mel'nikova
765
The superfine structure of the ESR spectra of divalent copper in some oxide glass
L. D. Bogomolova, V. N. Lazukin, E. N. Nozdrina, N. V. Petrovykh
768
Investigation of the Optical Breakdown in the air due to supershort pulses by means of high-speed photography with an image converter
B. Z. Gorbenko, Yu. A. Drozhbin, S. D. Kaitmazov, A. A. Medvedev, A. M. Prokhorov, A. M. Tolmachov
772
Resonance charge exchange on atoms belonging to the second group of the periodic table
E. L. Duman
775
Formation of protonized ions in the thermal ionization of organic molecules
È. Ya. Zandberg, U. Kh. Rasulev
777
Alternative properties of physical systems and spectral representations in the field theory
M. E. Perel'man
781
An approximate method for determining the optical characteristics of dye molecules
V. E. Romanov, B. M. Yavorskii, R. S. Kozma
784
Constant of stepwise ionization of atoms
B. M. Smirnov
787
 
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