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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
527–530
On imbedding theorems
Ya. S. Bugrov
531–534
The reducibility of a certain class of simultaneous differential equations containing quasiperiodic coefficients
A. E. Gel'man
535–537
The representations of the group of rotations of an $n$-dimensional Euclidean space by spherical vector fields
A. A. Kirillov
538–541
On the boundedness in $L_p$ of derived solutions of elliptical equations and elliptical systems
A. I. Koshelev
542–544
A representation of solutions of Euler–Poisson–Darboux's equation with analytical functions
Yu. P. Krivenkov
545–548
Some theorems on the resolution of infinitely divisible laws into components
Yu. V. Linnik
549–551
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
552–555
On completely continuous vector fields in Banach space
A. M. Rodnyanskii
556–559
Cauchy problem for a system of linear partial differential equations with a weight exceeding unity
Yu. V. Sidorov
560–563
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
564–567
Permutations within a trigonometric system
P. L. Ul'yanov
568–571

FLUID MECHANICS
An asymptotic solution of equations for one-dimensional unsteady motion of ideal gas with cylindrical symmetry
G. M. Shefter
572–575

MATHEMATICAL PHYSICS
A solution of Stephan's problem by reduction to a system of ordinary differential equations
V. G. Melamed
577–580

PHYSICS
A study of the $\beta^+$ decay in $\mathrm{Ho}^{160}$
B. S. Dzhelepov, O. E. Kraft, B. K. Preobrazhenskii
581–583
Deviations from Boltzman's distribution in the breakdown of diatomic molecules
E. E. Nikitin
584–587
Absorption spectra with cold light sources
B. I. Stepanov, Ya. S. Khvashchevskaya
588–590

GEOPHYSICS
Turbulent viscosity in a shallow sea, due to waves
O. D. Shebalin
591–593

ENERGETICS
On the insertion of bonds against the disturbing action in automatic control systems
O. P. Demchenko
601–604

CRYSTALLOGRAPHY
The mechanism of the formation of kink bands
E. V. Kolontsova, I. V. Telegina
605–608

CHEMISTRY
The effect of perchlorates on styrene polymerization
B. I. Losev, Yu. I. Zakharova
609–612
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
613–616
The kinetics of the electrophile substitution at a saturated carbon atom
O. A. Reutov, I. P. Beletskaya, R. E. Mardaleishvili
617–620
The hydrogenolysis of furane homologues on a platinum catalyst
N. I. Shuykin, I. F. Bel'skii
621–624

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
625–628
The mechanism of organic glass fusion
N. A. Grishin, S. S. Voyutskii, M. M. Gudimov
629–632
The role of hydrogen atoms in the catalytic oxidation of hydrogen on palladium
V. B. Kazanskii, V. V. Voevodskii
633–636
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
637–640
On intermediate products in redox photoreactions of xanthene dyes
V. F. Tsepalov, I. Ya. Shlyapintokh
641–644
 
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