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1957, Volume 116, Number 4  


MATHEMATICS
Stability by means of a linear approximation of periodic solutions of a system of differential equations with discontinuous right-hand sides
M. A. Aizerman, F. R. Gantmakher
527
On imbedding theorems
Ya. S. Bugrov
531
The reducibility of a certain class of simultaneous differential equations containing quasiperiodic coefficients
A. E. Gel'man
535
The representations of the group of rotations of an $n$-dimensional Euclidean space by spherical vector fields
A. A. Kirillov
538
On the boundedness in $L_p$ of derived solutions of elliptical equations and elliptical systems
A. I. Koshelev
542
A representation of solutions of Euler–Poisson–Darboux's equation with analytical functions
Yu. P. Krivenkov
545
Some theorems on the resolution of infinitely divisible laws into components
Yu. V. Linnik
549
On the existence and uniqueness of a solution to the general type of equation in connection with reversibility in semigroups of transformations
E. S. Lyapin
552
On completely continuous vector fields in Banach space
A. M. Rodnyanskii
556
Cauchy problem for a system of linear partial differential equations with a weight exceeding unity
Yu. V. Sidorov
560
New sufficient conditions for stability, semistability and instability of the limit cycle of the $\frac{dy}{dx}=\frac{P(x,y)}{Q(x,y)}$ equation
V. F. Tkachev
564
Permutations within a trigonometric system
P. L. Ul'yanov
568

FLUID MECHANICS
An asymptotic solution of equations for one-dimensional unsteady motion of ideal gas with cylindrical symmetry
G. M. Shefter
572

MATHEMATICAL PHYSICS
A solution of Stephan's problem by reduction to a system of ordinary differential equations
V. G. Melamed
577

PHYSICS
A study of the $\beta^+$ decay in $\mathrm{Ho}^{160}$
B. S. Dzhelepov, O. E. Kraft, B. K. Preobrazhenskii
581
Deviations from Boltzman's distribution in the breakdown of diatomic molecules
E. E. Nikitin
584
Absorption spectra with cold light sources
B. I. Stepanov, Ya. S. Khvashchevskaya
588

GEOPHYSICS
Turbulent viscosity in a shallow sea, due to waves
O. D. Shebalin
591

ENERGETICS
On the insertion of bonds against the disturbing action in automatic control systems
O. P. Demchenko
601

CRYSTALLOGRAPHY
The mechanism of the formation of kink bands
E. V. Kolontsova, I. V. Telegina
605

CHEMISTRY
The effect of perchlorates on styrene polymerization
B. I. Losev, Yu. I. Zakharova
609
Investigation of systems of $n$-paraffins $\mathrm C_{20}$$\mathrm C_{30}$ and $\mathrm C_{30}$$\mathrm C_{32}$
N. A. Nechitailo, L. M. Rozenberg, E. M. Terent'eva, A. V. Topchiev
613
The kinetics of the electrophile substitution at a saturated carbon atom
O. A. Reutov, I. P. Beletskaya, R. E. Mardaleishvili
617
The hydrogenolysis of furane homologues on a platinum catalyst
N. I. Shuykin, I. F. Bel'skii
621

PHYSICAL CHEMISTRY
The influence of gases on the flotability of certain non-sulphide minerals, as related to their crystalline structure
V. V. Bakakin, I. N. Plaksin, E. M. Chaplygina
625
The mechanism of organic glass fusion
N. A. Grishin, S. S. Voyutskii, M. M. Gudimov
629
The role of hydrogen atoms in the catalytic oxidation of hydrogen on palladium
V. B. Kazanskii, V. V. Voevodskii
633
The rheological properties of surface layers at the oil – water interface and their role in the stability of oil emulsions
M. M. Kusakov, A. A. Petrov
637
On intermediate products in redox photoreactions of xanthene dyes
V. F. Tsepalov, I. Ya. Shlyapintokh
641
 
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