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1965, Volume 164, Number 1  


MATHEMATICS
A condition for preservation of metrizability under quotient mappings
A. Arkhangel'skii
9
Local density minima of a lattice covering of a four-dimensional Euclidean space by equal spheres
E. P. Baranovskii
13
The statistical problem of optimal control of a linear system
R. Gabasov, F. M. Kirillova
16
The stability of the net method for elliptic problems
Yu. K. Dem'yanovich
20
On the direct and inverse embedding theorems of weight spaces
A. D. Dzhabrailov
24
Frequency conditions for dissipation and existence of periodic solutions in the case of pulse systems with one non-linear block
Yu. A. Dmitriev
28
Certain invariants of the groups of triangular-unit matrices in a space adjoint to the space of its Lie algebra
I. A. Zhigulin
32
Quasianalytic classes of functions in a circle
B. I. Korenblum
36
Representation of arbitrary integral functions by Dirichlet series
A. F. Leont'ev
40
Representation of an arbitrary analytic function by special series
V. Kh. Musoyan
43
Singular integral operators on a group
B. A. Plamenevskii
47
The best approximation of the $(x-c )^{r-1}|x-c|^{1+\alpha}$ functions by polynomials in the $L_q(-1,1)$ ($q\ge1$) space metric
R. A. Raitsin
51
A difference analogue of a polyharmonic equation
S. L. Sobolev
54
The parametric resonance of elastic systems with distributed parameters
V. N. Fomin
58
On the trace of a differential operator
R. F. Shevchenko
62

AERODYNAMICS
Laws of the development and stabilization of aerodynamic perturbations
V. V. Struminskii
66

MATHEMATICAL PHYSICS
Solution of the Dirichlet problem for a finite wedge by means of special integral transforms using Bessel functions
Ya. S. Uflyand, E. A. Yushkova
70

PHYSICS
Optical quantum generator on cadmium telluride with electronic excitation
V. S. Vavilov, È. L. Nolle
73
Illumination of the bubble chamber with the aid of an optical ruby generator
V. M. Gorbunkov, V. V. Korobkin, A. M. Leontovich
75
Continuous operation of the $\mathrm{GaAs}$ injection quantum generator when helium gas flow is used for cooling
M. N. Zargar'yants, A. A. Kiselev, O. D. Kropotova, L. N. Kurbatov, Yu. M. Lyustrov, V. V. Sigriyanskii, I. I. Taubkin, I. P. Shestopalova
78
A similarity parameter in the theory of plasma flows
A. I. Morozov, L. S. Solov'ev
80

CRYSTALLOGRAPHY
The crystal structure of inderborite $\mathrm{CaMgB}_6\mathrm{O}_{11}\cdot11\mathrm{H}_2\mathrm{O}=\mathrm{CaMg}[\mathrm{B}_3\mathrm{O}_3(\mathrm{OH})_5]_2\cdot6\mathrm{H}_2\mathrm{O}$
E. N. Kurkutova, I. M. Rumanova, N. V. Belov
90

CHEMISTRY
On the possibility to apply 3-(3,4-dioxyphenyl)-alanin (DOPHA) as a mediator of radioisotopes into a melanoma
V. M. Vdovenko, I. I. Ivanov, V. N. Bobrova, I. S. Gavrilenko, A. I. Ivanov, A. L. Solov'ev, L. N. Rumyantseva
95
Furyl-2- and 5-nitrofuryl-2-acetylene ketones
S. A. Giller, L. I. Vereshchagin, K. K. Venter, S. P. Korshunov, V. V. Tsirule, D. O. Lolya
99
Chemistry of titanium-base solid solutions
B. B. Gulyaev
103
2-Arylamino-4-phenyl-5-benzoylthiazoles
K. Ziemelis, F. Mutulis, È. Gudrinietse, G. Vanag
106
An investigation of the diazonium chloride-diazoimide equilibrium in the case of $p$-$\mathrm{N}$-berizenesulfonylaminophenyldiazonium
L. A. Kazitsyna, A. V. Upadysheva, O. A. Reutov
110
The nature of crystalline elastic copolymers of ethylene
V. A. Kargin, M. B. Konstantinopol'skaya, R. A. Terteryan, Z. Ya. Berestneva
112
The structure of Schiff's bases of $\mathrm{N}$-arylpyrrolines
A. P. Terent'ev, M. A. Volodina, V. A. Kudryashova
115
Transition from metal hydrides to $\pi$-allyl complexes and the initiation of the stereospecific polymerization of butadiene
O. K. Sharaev, A. V. Alferov, B. A. Dolgoplosk, E. I. Tinyakova
119

PHYSICAL CHEMISTRY
The influence of illumination on the adsorptive capacity of certain oxides
L. L. Basov, Yu. P. Solonitsyn, A. N. Terenin
122
Instability of the surface of a liquid when detonation and shock waves are gliding on it
A. A. Borisov, S. M. Kogarko, A. V. Lyubimov
125
Reactions of thermalized electron in frozen aqueous solutions
L. T. Bugaenko, V. N. Belevskii
127
Gellation mechanism in gelatin solutions
V. N. Izmailova, V. A. Pchelin, Samir Abu Ali
131
Many-sided investigation of the structure of certain natural dispersed systems with an “elastic” skeleton
V. D. Klyaev, N. N. Gryazev, F. A. Slisarenko
134
The liquation microunhomogeneity and composition of solid solutions in $\mathrm{Al}$$\mathrm{Mg}$ alloys as affected by the rate of cooling during crystallization
I. S. Miroshnichenko
137
Migration of radical states in the solid phase
A. I. Mikhailov, I. S. Gaponova, Ya. S. Lebedev
140
Selective oxidation dehydrogenation investigated by chromatographic pulse method
S. Z. Roginskii, R. A. Zimin, M. I. Yanovskii
144
 
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