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1968, Volume 182, Number 4  


MATHEMATICS
A trace formula in geodesic theory
V. S. Buslaev
743
On sufficient conditions for optimality in the maximum principle
V. V. Velichenko
747
The bounded solutions of the Riemann boundary value problem with infinite index of the order of a power
N. V. Govorov
750
Some extremal problems for univalent analytic functions
S. L. Krushkal'
754
Some consequences of the hypothesis on the uncountability of the set of constructible real numbers
V. A. Lyubetskii
758
A method of solving the relaxation equations
N. B. Maslova
760
Some multiplicative inequalities and their application to linear singular integral operators
Kh. Sh. Mukhtarov
764
A new method of investigation on the isochronism of a system of differential equations
I. I. Pleshkan
768
Some variational problems with regard to the price of control in Hilbert spaces
Z. I. Khalilov, È. D. Aslanov
772
The correctness of the first differential approximations of difference schemes
N. N. Yanenko, Yu. I. Shokin
776

CYBERNETICS AND THE REGULATION THEORY
Automaton representations and functional semimatrices in a symmetrical alphabet semigroup
V. P. Zarovnyi
779

AERODYNAMICS
An airfoil-vibration-excited velocity field propagating along the surface with supersonic speed
E. A. Krasil'shchikova
783

FLUID MECHANICS
Action of an acoustic pressure wave on a hollow spherical shell
È. I. Grigolyuk, A. G. Gorshkov
787

THEORY OF ELASTICITY
Stresses and deformations in a multilayered half-space with surface loading along a strip
A. N. Margot'ev
790

ASTRONOMY
The stability of bodies of revolution against radial perturbations
G. S. Bisnovatyi-Kogan, Ya. B. Zel'dovich, A. M. Fridman
794

MATHEMATICAL PHYSICS
On accurately solvable quasispin Thirring's model
N. N. Bogolyubov (Jr.)
797
Certain properties of non-conservative systems of classical statistical mechanics
I. P. Pavlotsky
799

PHYSICS
Deviations from the electrophotographic law of mutual replaceability, as connected with the effective drift mobility
V. I. Bugrienko, È. M. Denga
803
Determination of organic compound temperatures in shock waves
I. M. Voskoboinikov, V. M. Bogomolov, A. N. Afanasenkov, V. N. Shevelev
807
Refraction index of structurally modified water, as measured by capillary micromethod
B. V. Deryagin, Z. M. Zorin, N. V. Churaev
811
On the nature of multiplets in quasiline spectra of organic molecules
R. I. Personov, O. N. Korotaev
815

CRYSTALLOGRAPHY
The crystal structure of a new natural borate $\mathrm{Ca}[\mathrm{B}_2\mathrm{O}_2(\mathrm{OH})_4]$
D. P. Shashkin, M. A. Simonov, N. V. Belov
821
 
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