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 Author Index

 Dokl. Akad. Nauk SSSR, Volume 112 (1957)

 Dokl. Akad. Nauk SSSR, Volume 113 (1957)

 Dokl. Akad. Nauk SSSR, Volume 114 (1957)

 Dokl. Akad. Nauk SSSR, Volume 115 (1957)

 Dokl. Akad. Nauk SSSR, Volume 116 (1957)

 Dokl. Akad. Nauk SSSR, Volume 117 (1957)

 Dokl. Akad. Nauk SSSR, Volume 118 (1958)

 Dokl. Akad. Nauk SSSR, Volume 119 (1958)

 Dokl. Akad. Nauk SSSR, Volume 120 (1958)

 Dokl. Akad. Nauk SSSR, Volume 121 (1958)

 Dokl. Akad. Nauk SSSR, Volume 122 (1958)

 Dokl. Akad. Nauk SSSR, Volume 123 (1958)

 Dokl. Akad. Nauk SSSR, Volume 130 (1960)

 Dokl. Akad. Nauk SSSR, Volume 131 (1960)

 Dokl. Akad. Nauk SSSR, Volume 132 (1960)

 Dokl. Akad. Nauk SSSR, Volume 133 (1960)

 Dokl. Akad. Nauk SSSR, Volume 134 (1960)

 Dokl. Akad. Nauk SSSR, Volume 135 (1960)

 Dokl. Akad. Nauk SSSR, Volume 136 (1961)

 Dokl. Akad. Nauk SSSR, Volume 137 (1961)

 Dokl. Akad. Nauk SSSR, Volume 138 (1961)

 Dokl. Akad. Nauk SSSR, Volume 139 (1961)

 Dokl. Akad. Nauk SSSR, Volume 140 (1961)

 Dokl. Akad. Nauk SSSR, Volume 141 (1961)

 Dokl. Akad. Nauk SSSR, Volume 142 (1962)

 Dokl. Akad. Nauk SSSR, Volume 143 (1962)

 Dokl. Akad. Nauk SSSR, Volume 144 (1962)

 Dokl. Akad. Nauk SSSR, Volume 145 (1962)

 Dokl. Akad. Nauk SSSR, Volume 146 (1962)

 Dokl. Akad. Nauk SSSR, Volume 147 (1962)

 Dokl. Akad. Nauk SSSR, Volume 148 (1963)

 Dokl. Akad. Nauk SSSR, Volume 149 (1963)

 Dokl. Akad. Nauk SSSR, Volume 150 (1963)

 Dokl. Akad. Nauk SSSR, Volume 151 (1963)

 Dokl. Akad. Nauk SSSR, Volume 152 (1963)

Dokl. Akad. Nauk SSSR, Volume 153 (1963)

Number 1
MATHEMATICS
On the theory of semigroups of linear operators
D. L. Berman
9
An application of the concept of rotation of a vector field
Yu. G. Borisovich
12
Conditions for a function of many variables to be representable as a sum of a finite number of plane waves traveling in a given directions
B. A. Vostretsov
16
On the principle of limiting amplitude
M. M. Gekhtman
20
Boundary properties of a class of mappings in space
V. Zorich
23
Boundary-value problems for elliptic equations in conical regions
V. A. Kondrat'ev
27
An error bound for the numerical solution of a nonlinear integral equation
I. P. Mysovskikh
30
On the solution of boundary-value problems for linear elliptic equations in an infinite region
A. P. Oskolkov
34
On the topological characterization of uniform properties of metric spaces
Yu. P. Orevkov
38
On infinite-dimensional linear groups
B. I. Plotkin
42
Categories with division and integral representations
A. V. Roiter
46
On the regularization of ill-posed problems
A. N. Tikhonov
49
The Dirichlet problem for an elliptic system of two second-order differential equations
N. E. Tovmasyan
53
Imbedding the space of $s$-smooth functions of $n$ variables into a space of sufficiently smooth functions of fewer variables
G. M. Henkin
57

CYBERNETICS AND THE REGULATION THEORY
Some theorems in the theory of $\Psi$-stability in cooperative games
O. N. Bondareva
61

MATHEMATICAL PHYSICS
Asymptotic method of investigating transients in nonlinear oscillatory systems
T. A. Tibilov
64

PHYSICS
Experimental determination of the matrix element of an electron transition for $\gamma$- and $\beta$-systems of the $\mathrm{NO}$ molecule
E. T. Antropov, A. P. Dronov, N. N. Sobolev, V. P. Cheremisinov
67
Photosemiconducting properties of methylchlorophyllide $\mathrm{a}$
A. T. Vartanyan
70
The hydrodynamics of a rotating Bose system below the condensation point
S. V. Iordanskii
74

GEOPHYSICS
The mechanism of the 1948 Ashgabat earthquake from data secured by geophysical investigations
D. N. Rustanovich
86

ELECTRICAL ENGINEERING
The optimal (i. e. reducing the losses to a minimum) law of magnetic polarity reversal in ferromagnetic cores with a rectangular hysteresis loop
M. A. Rozenblat, Yu. D. Rosental
90

CRYSTALLOGRAPHY
The determination of crystal structures by the $R$-factor minimalization method
B. K. Vaĭnshteĭn, I. M. Gel'fand, R. L. Kayushina, Yu. G. Fedorov
93

CHEMISTRY
The use of luminescent reagents in the kinetic method of analysis
E. A. Bozhevol'nov, S. U. Kreynhold, R. P. Lastovskii, V. V. Sidorenko
97
Directed catalytic synthesis of solid paraffin from carbon monoxide and hydrogen
T. F. Bulanova, Ya. T. Eidus, N. S. Sergeeva, Yu. T. Khudyakov
101
Homolytic reactions of tetraethylgermane
N. S. Vyazankin, E. N. Gladyshev, G. A. Razuvaev
104
The synthesis and dehydration of certain germanium-containing diene carbinols
I. M. Gverdtsiteli, T. P. Guntsadze, A. D. Petrov
107
Energy transfer upon the oxidation of aromatic hydrocarbons by radiation
A. T. Koritzky, V. N. Shamshev
111
Comparative reactivity of hydrocarbons in the cyclopropane series
O. A. Nesmeyanova, M. Yu. Lukina, B. A. Kazanskii
114
The five-compound system $\mathrm{UO}_2(\mathrm{NO}_3)_2$ – $(\mathrm{C}_4\mathrm{H}_9)_2\mathrm{PO}(\mathrm{C}_4\mathrm{H}_9\mathrm{O})$ – $\mathrm{H}_2\mathrm{O}$$\mathrm{HNO}_3$$\mathrm{CCl}_4$ with a constant relation of $(\mathrm{C}_4\mathrm{H}_9)_2\mathrm{PO}(\mathrm{C}_4\mathrm{H}_9\mathrm{O})$ to $\mathrm{CCl}_4$ in the stratification region
A. V. Nikolaev, Yu. A. Dyadin, I. I. Yakovlev, Z. N. Mironova
118
The doubling mechanism in the cyclization of depsipeptides and peptides
Yu. A. Ovchinnikov, V. T. Ivanov, A. A. Kiryushkin, M. M. Shemyakin
122
Purification of indium from tin and lead impurities by zonal melting of its chloride
P. I. Fedorov, N. S. Sitdykova
126

PHYSICAL CHEMISTRY
Preliminary computation of adsorption equilibrium parameters for the adsorbent – binary vapour mixture system
B. P. Bering, V. V. Serpinskii, S. I. Surinova
129
The effect of zinc ions on the sorption of hydrogen and the catalytic activity of palladium
N. A. Zakarina, G. D. Zakumbaeva, D. V. Sokol'skii
133
The activity of alkali-metal and ammonium chlorides in aqueous solution of sodium chloride
A. N. Kirgintsev, A. V. Luk'yanov
136
Kinetic stages of ethylene oxidation by palladium in aqueous solutions
I. I. Moiseev, M. N. Vargaftik, Ya. K. Syrkin
140
New polyconjugate systems and their electrophysical properties
S. A. Nizova, I. I. Patalakh, Ya. M. Paushkin
144
On the theory of the compensation effect in the diffusion processes taking place in solids
S. Z. Roginskii, Yu. L. Hait
147
On the semiempirical theory of isotropic superfine splitting in the electron spin resonance spectra of free radicals
P. V. Schastnev, G. M. Zhidomirov
151


È. E. Vainstein, Yu. F. Kopelev
8

Number 2

MATHEMATICS
A bound for the total best approximation of a function of several variables by partial best approximations
O. D. Gabisoniya
255
Operators with completely continuous iterations
I. S. Iokhvidov
258
Representations of continuous linear operators by abstract functions, and imbedding theorems
V. B. Korotkov
262
On certain methods of prescribing sets in generating bases
S. Yu. Maslov
266
Periodic subgroups of algebraic groups
V. P. Platonov
270
Stabilization of the solution of the Cauchy problem for a parabolic equation with variable coefficents
F. O. Porper
273
Decomposition into irreducible representations of a tensor product of two irreducible representations of the real unimodular group of second order (the case of two discrete series)
B. D. Romm
276
A property of the distribution of singularities on the boundary of a polycylinder and its application to entire functions of several variables
L. I. Ronkin
278
On a problem of S. N. Bernstein
I. Yu. Ryzhakov
282
Some properties of the discrete spectrum of the radial Schrödinger equation
L. A. Sakhnovich
286
On the asymptotic behaviour of integral matrices of order $n$ and on an integral invariant of the group of unimodular matrices
B. F. Skubenko
290
Extremal problems for surfaces of bounded Gaussian curvature
A. I. Fet
292
On the theory of generalized groups
B. M. Shain
296
Construction of local and global homeomorphisms for a class of quaternion equations
V. I. Shevchenko
300

PHYSICS
The influence of loads on the supermolecular structure of oriented polymers
S. N. Zhurkov, A. I. Slutsker, A. A. Yastrebinskii
303
The influence of pressure on the electric resistance of bismuth telluride
E. S. Itskevich, S. V. Popova, È. Ya. Atabaeva
306
Integral equation for the aperture field when two volumes are linked electromagnetically
J. B. Levinson, S. S. Fel, P. Sh. Fridberg
310
On the asymptotic condition established by Leman, Shimanchik and Zimmerman
B. V. Medvedev
313
The kinetics of waves in a plasma
G. I. Suramlishvili
317

GEOPHYSICS
The use of long-period microseisms for obtaining information about oceanic storms
F. I. Monakhov
321
On the nature of the stratification of earth's crust and upper mantle
Yu. V. Riznichenko, I. P. Kosminskaya
323

CRYSTALLOGRAPHY
X-ray study of liquid crystal structure by means of distribution functions
B. K. Vaĭnshteĭn, I. G. Chistyakov
326
Production and evaluation of certain properties of specular and filiform monocrystals of solid solutions of the $\mathrm{Ge}$$\mathrm{Si}$ system
A. V. Sandulova
330

CHEMISTRY
Stereospecific polymerization of trans-1-phenyl-butadiene-1,3
A. D. Aliev, A. V. Arbatskii, M. V. Shishkina, B. A. Krentsel'
333
Mutual transformations of cyclols and cyclodepsipeptides, as studied by means of fragmentary mass-spectrometry
N. S. Vul'fson, V. I. Zaretskii, V. A. Puchkov, V. G. Zaikin, A. M. Shkrob, V. K. Antonov, M. M. Shemyakin
336
On the instability constants of geometrically isomeric platodiamenes
A. A. Grinberg, E. S. Postnikova
340
The structure of group substances of blood. Proteolysis of the $\mathrm{A}$ group substance
V. A. Derevitskaya, V. G. Zharov, N. K. Kochetkov
342
Infrared spectra of polyenes
V. I. Kasatochkin, A. M. Sladkov, Yu. G. Aseev, Yu. P. Kudryavtsev, O. I. Egorova, V. V. Korshak
346
Some transformations of quaternary salts of 2-$\beta$-chloropropenyl derivatives of heterocyclic compounds
I. I. Levkoev, N. N. Sveshnikov, N. I. Shirokova
350
The oxidation of amino-alkylphenols by benzene peroxide investigated with the aid of electron spin resonance
F. N. Mazitova, Yu. M. Ryzhmanov, Yu. V. Yablokov, O. S. Durova
354
The reactivity of cyclopropane hydrocarbons as dependent on their structure
O. A. Nesmeyanova, M. Yu. Lukina, B. A. Kazanskii
357
An investigation of ion-exchange processes by means of physico-chemical analysis
A. V. Nikolaev, V. L. Bogatyrev, A. I. Vulikh
360
Synthesis of the methyl ether of $\mathrm{N}$-adenylyl-$5'$-phenylalanine by the carbodiimide method
T. S. Ryabova, R. N. Glebov, Z. A. Shabarova, M. A. Prokof'ev
363
The synthesis of boron derivatives of polyvinyl alcohol
S. N. Ushakov, P. Tudoriu
366

PHYSICAL CHEMISTRY
Some features of Mossbauer's effect on $\mathrm{Sn}^{119}$ nuclei in organotin oxides
A. Yu. Aleksandrov, K. P. Mitrofanov, O. Yu. Okhlobystin, L. S. Polak, V. S. Shpinel'
370
Two-quantum photochemistry. A proof of the second-triplet-state molecules participating in the reaction
Kh. S. Bagdasar'yan, Z. A. Sinitsyna, V. I. Muromtsev
374
The coagulations concentrations of electrolytes as influenced by the electromagnetic delay of molecular attraction
B. V. Deryagin, V. P. Smilga
377
The nature of the minimum observed in the potential displacement curves of the platinized platinum
B. I. Podlovchenko, O. A. Petrii, A. N. Frumkin
379
On the possibility of a catalytic dehydrogenation under chromatographic conditions
S. Z. Roginskii, È. I. Semenenko, M. I. Yanovskii
383
The kinetics of ammonia synthesis when the catalyst is poisoned by the steam
I. A. Smirnov, N. M. Morozov, M. I. Temkin
386
Amorphized state of natural graphite powders
A. S. Fialkov, Ya. G. Davidovich, K. V. Kononova, I. M. Yurkovskii
390
The influence of mechanical factors on the rate of crystallization of isotactic polystyrene
A. A. Frolova, P. V. Kozlov, V. A. Kargin
394
The influence of neutral electrolytes on coagulation interaction in a suspension of glass globules
G. I. Fuchs, N. I. Nikolaeva
398
Adsorption energy when atoms are ionized on a metal surface
È. F. Chaikovskii, G. M. Pyatigorskii
401

Number 3

MATHEMATICS
On the best mean first-degree approximation of analytic functions on circles
S. Ya. Al'per
503
The imbedding of modules
V. A. Andrunakievich, Yu. M. Ryabukhin
507
A uniqueness theorem for Dirichlet series for the case of more general behaviour of the exponents
G. M. Gashimov
510
The structure of the ring of finite functions on the group of second-order unimodular matrices with elements belonging to a disconnected locally compact field
I. M. Gel'fand, M. I. Graev
512
Bounds for the diameter and width of convex surfaces of bounded Gaussian curvature
V. I. Diskant
516
Some extremal properties of polynomials
K. Dochev
519
Families of distributions and separating partitions
A. M. Kagan
522
Boundary estimates for the solution of the third boundary-value problem for a parabolic equation
L. I. Kamynin, V. N. Maslennikova
526
Imbedding theorems for functions defined on unbounded regions
L. D. Kudryavtsev
530
On a method of numerical solution of linear integral equations of convolution type
V. N. Strakhov
533
Stability theorems for convex, almost spherical surfaces
A. I. Fet
537

MECHANICS
The variation of the constants of linear gyroscopic systems as influencing the oscillation frequencies and the damping coefficients
I. I. Metelitsyn
540

AERODYNAMICS
Motion of monoatomic rarefied gas in a uniformly expanding space
A. A. Nikol'skii
543
A contribution to the non-linear theory of the developmeni of aerodynamic perturbations
V. V. Struminskii
547

FLUID MECHANICS
Motion produced in an inhomogeneous atmosphere by a plane shock of short duration
Yu. P. Raizer
551

ASTRONOMY
Distribution of polarized radio emission in the Sygnus-A source according to observations at Pulkovo
N. S. Soboleva, G. M. Timofeeva
555

MATHEMATICAL PHYSICS
The calculation of stationary resonance conditions in the operation of certain non-linear oscillatory systems
V. M. Volosov, B. I. Morgunov
559
Variation principle in general relativity
K. P. Stanyukovich
562
Mass, polarization and vertex operators in a modified formulation of the problem concerning a non-ideal Bose–Einstein system
V. V. Tolmachev
566

PHYSICS
Radiation of electromagnetic waves from a system of semi-infinite plates
E. V. Baklanov
570
Free and bound excitons in $\mathrm{GaP}$ crystals
E. F. Gross, N. S. Kochneva, D. S. Nedzvetskii
574
Frequency displacement when light is scattered in a relativistic plasma
O. Pogutse
578

GEOPHYSICS
The intensity of the vertical transfer of oceanic waters
K. A. Chekotillo
585

CHEMISTRY
Unusual effect of substituents in $S_E$ 2-reaction
G. A. Artamkina, I. P. Beletskaya, O. A. Reutov
588
The synthesis of the $\mathrm{N}$-benzoyl derivatives of 1,2-dihydroquinolines
L. P. Zalukaev, T. I. Zheltukhina
592
The dipole moments and structure of intracomplex copper compounds with aromatic Schiff's bases
V. A. Kogan, O. A. Osipov, V. I. Minkin, M. I. Gorelov
594
The primary structure of RNA. The interaction of RNA with $\mathrm{O}$-methylhydroxylamine
N. K. Kochetkov, È. I. Budovskiĭ, N. A. Simukova
597
Cocrystallization of ionic compounds from organic solvents
N. B. Mikheev, G. I. Shmanenkova
601
Spirodiphosphites
È. T. Mukmenev, Gilm Kamai
605
Diphenyl-$o,o'$-diphenyleneammonium salts
A. N. Nesmeyanov, T. P. Tolstaya, A. V. Grib
608
Reactions involving a nucleophile addition of benzo-$\alpha$-phenoxazinone-9 and the chloride of 9-dimethylamino-benzo-$\alpha$-phenoxazonium
I. Ya. Postovskii, G. B. Afanas'ev
612
The rearrangement of $\alpha$-oxyphosphinic esters to phosphinates and thiophosphates
A. N. Pudovik, I. V. Konovalova, L. V. Dedova
616
Interaction of certain aminocompounds with silica gels subjected to dehydration
V. V. Strelko, P. P. Gushchin, Z. Z. Vysotsky
619
Differential amperemetric titration of iridium, palladium, iron and copper by an 8-mercaptoquinoline solution
Yu. I. Usatenko, V. I. Suprunovich
622
Synthesis of $\mathrm{S}$-substituted isothiuronium derivatives by the action of thiourea on simple ethers
R. Kh. Freidlina, B. V. Kopylova
626
Conversion of $\gamma$-ketocarboxylic esters into lactams
N. I. Shuykin, I. F. Bel'skii, V. M. Shostakovskii, S. N. Khar'kov, G. K. Gaivoronskaya
628

PHYSICAL CHEMISTRY
Electron microscope investigation of grafted polymers
E. M. Belavtseva, K. Z. Gumargalieva, A. I. Kitaigorodskii
631
The role of kinetic factors in the reduction of metal strength by absorption
Yu. V. Goryunov, B. D. Summ, E. D. Shchukin, P. A. Rebinder
634
Birefringence of thin liquid layers
R. Grin-Kelli, B. V. Deryagin
638
The kinetics and mechanism of the alkaline hydrolysis of vinyl esters
L. A. Kipryanova, A. F. Rekasheva
642
Evaporation of sulphur from sulfide scoria separated from copper
M. M. Pavlyuchenko, I. I. Pokrovskii
646
Association phenomena in new-lacquer phenolformaldehyde resins of orthoregular structure
V. P. Pshenitsyna, A. N. Shabadash, T. V. Fremel
650
The polarization characteristics of circulatory powder electrodes
A. B. Fasman, D. V. Sokol'skii, K. A. Shchurov
653
Current drop curves in the anode oxidation of zirconium under potentiostatic conditions
A. Ya. Shatalov, Yu. P. Gladkih, V. V. Malygin
657

Number 4

MATHEMATICS
Some types of factor mappings, and the relations between classes of topological spaces
A. Arkhangel'skii
743
A method for the numerical solution of optimal control problems
N. J. Bagaeva, N. N. Moiseev
747
Harmonic functions on $GL(2)$
A. N. Bogaevskii
751
A class of special automorphisms and special flows
B. M. Gurevich
754
On the spectrum of singular non-selfadjoint differential operators of order $2n$
F. G. Maksudov
758
Integral points in hyperellipsoids
B. Novak
762
An analytic description of certain geometric objects
V. L. Rvachev
765

CYBERNETICS AND THE REGULATION THEORY
The synthesis of a class of automatic control systems influenced by random factors
G. A. Agasandyan
768
Problems presented by the optimum control of the processes involved in the production of articles from a melt by drawing
A. G. Butkovskiy, A. Ya. Lerner, S. A. Malyi
772
Some peculiarities in the motion of variable-structure automatic control systems with discontinuous switching functions
S. V. Emel'yanov, N. E. Kostyleva
776
Description of one of the algorithms for the solution of mass service theory problems by the method of statistical tests
I. Fidrich
779

MECHANICS
On the nature of the contact between the free surface of a liquid and the solid boundary in the problem of wedge penetration
Z. N. Dobrovol'skaya
783

FLUID MECHANICS
A proof of the instability of a certain type of flows of a viscous incompressible liquid
A. L. Krylov
787

THEORY OF ELASTICITY
Oscillations of elastic rods
I. M. Rapoport
790

MATHEMATICAL PHYSICS
The modified and the true formulation of the problem concerning a non-ideal Bose–Einstein system of many particles
V. V. Tolmachev
794
Canonical translation method for the investigation of Overhauser's spin density wave state
Ya. Shi
798

PHYSICS
An example illustrating the structure of a magnetic field with collapsing magnetic surfaces
N. M. Zueva, M. S. Mikhailova, A. I. Morosov
801
Calculation of the spectroscopic masses of hydrogen and deuterium
V. P. Morozov
804

GEOPHYSICS
Plastic deformations in a gravitating sphere
R. G. Arkhipov, L. F. Vereshchagin
832

CRYSTALLOGRAPHY
The crystal structure of hodgkinsonite
L. P. Solov'eva, N. V. Belov
835

CHEMISTRY
Protonization and acid dissociation of 8-mercaptoquinoline in aqueous solutions
V. F. Barkovskii, M. Z. Kharkover
837
On the chemical characteristic of organogermanium compounds in coals
S. A. Gordon, M. A. Menkovskii, N. N. Nurminskii
840
The crystal phases of barium oxide – germanium dioxide system
R. G. Grebenshchikov, N. A. Toropov, V. I. Shitova
842
Production and investigation of the catalytic properties of the high-molecular polystyrene sulphoacid
V. A. Kargin, V. A. Kabanov, O. V. Kargina
845
The course of addition of silicongidrides to propargyl chloride
V. F. Mironov
848

PHYSICAL CHEMISTRY
Compensation effect and the true activation energies of certain chemical processes
A. I. Burshtein, B. I. Peshchevitskii, S. P. Sham
852
Relationship between the $\sigma$-electron charges of the bonds and the energy characteristics of saturated hydrocarbons
G. V. Bykov
855
The theory, of fluctuation rupture of wetting films and its application to the kinetics of flotation sticking
B. V. Deryagin, Yu. V. Gutop
859
The visco-elastic properties of polymere melts as influenced by the extent of molecular order in the crystallizing polymeres
L. A. Igonin, A. V. Ermolina
863
The photoreactions of $\mathrm{Mg}$-phthalocyanine with a coordinated uranyl cation
G. I. Kobyshev, G. N. Lyalin, A. N. Terenin
865
Structure-mechanical criteria in estimating the coagulating action of electrolytes on the water dispersions of montmorillonite
F. D. Ovcharenko, V. Yu. Tretinnik, N. N. Kruglitskii
869
The forms of oxygen adsorption on titanium dioxide and its photoactivation
V. L. Rapoport
871
On the oscillatory nature of the long-wave absorption band of tryptophan
A. N. Sevchenko, S. V. Konev, M. A. Katibnikov
875
The influence of a field of force on structural transformations in natural rubber
B. Ya. Teitel'baum, È. F. Gubanov
878
Determination of the transverse sizes of macromolecules by means of X-rays scattered at small angles
B. A. Fedorov, O. B. Ptitsyn
882
Pitting corrosion of iron by perchlorate ions
L. I. Freiman, Ya. M. Kolotyrkin
886

Number 5

MATHEMATICS
An algorithm for solving a convex programming problem
S. I. Zukhovitskii, R. A. Polyak, M. E. Primak
991
On the derivation from their boundary values of functions which are biharmonic in the circle
S. Kaniev
995
The continuum as the global cluster set of a convergent sequence of analytic functions
B. P. Kufarev, S. V. Soboleva
999
Expansion in eigenfunctions of non-selfadjoint, singular second-order differential operators depending on a parameter
F. G. Maksudov
1001
Some properties of manifolds of dimension $4k+2$
S. P. Novikov
1005
Universal spaces for certain classes of spaces
B. Pasynkov
1009
On metric spaces and continuous mappings associated with them
V. I. Ponomarev
1013
On a problem of Neuwirth on knot groups
H. Zieschang
1017

CYBERNETICS AND THE REGULATION THEORY
Design principles for variable-structure combined automatic control systems
B. N. Petrov, S. V. Emel'yanov
1020

THEORY OF ELASTICITY
Compression by rigid rough plates of a bar of plastic material capable of strain-hardening
V. V. Dudukalenko, D. D. Ivlev
1024
Fundamental equations in the theory of elastic shells
I. M. Rapoport
1027

MATHEMATICAL PHYSICS
The existence and uniqueness of the solution to certain nonlinear problems in the theory of nuclear reactors
O. B. Moskalev, V. A. Chuyanov
1030
Extension to the three-dimensional case of a method of solving fundamental two-dimensional problems of potential and elasticity theory
P. I. Perlin
1033

PHYSICS
Low-temperature puncture of $p$-germanium under uniaxial compression
B. M. Vul, I. V. Kucherenko
1037
Photoelectret state in single $\mathrm{CdS}$ crystals
P. S. Nesterenko
1040
A model of a superconductor with its pairs in the $p$-state
A. V. Svidzinskii
1044
The hydromagnetic stability of a rotating plasma
L. S. Solov'ev
1048
Polarization and spin effects in the synchrotron radiation theory
A. A. Sokolov, I. M. Ternov
1052
An interpretation of the spectral composition of light scattered at the anisotropy fluctuations in a liquid
V. S. Starunov
1055
A hypothesis on the trajectory of a quantum particle
S. M. Feinberg
1058
On the determination of the optical anisotropy of macromolecules
È. V. Frisman, A. K. Dadivanyan, G. A. Dyuzhev
1062

GEOPHYSICS
The use of statistic methods in studying the finite-difference structure of the balance equation
M. I. Yudin, I. L. Vulis
1067

CHEMISTRY
On the nonequivalence of active forms of hydrogen sorbed by skeleton nickel catalyst
I. V. Gostunskaya, V. A. Mironova, N. B. Dobroserdova, B. A. Kazanskii
1071
An investigation of the indicator properties of 2-oxyperinaphthindenone
Yu. A. Zhdanov, O. E. Shelepin, K. N. Bagdasarov, N. I. Budnyatskaya
1073
The interaction of uranium trioxide with decomposed ammonia in the presence of some alien oxide additives
V. M. Zhukovskii, V. G. Vlasov
1077
Solid solutions in the $\mathrm{Ca}_2\mathrm{SiO}_4$$\mathrm{Ca}_2\mathrm{GeO}_4$ system
N. A. Toropov, A. K. Shirvinskaya
1081
X-ray study of the double oxides of some transition metals
V. K. Trunov, L. M. Kovba, E. I. Sirotkina
1085
$\mathrm{N}$-Vinylthiopyrrolidone
M. F. Shostakovskii, F. P. Sidel'kovskaya, A. A. Avetisyan, M. G. Zelenskaya, B. V. Lopatin
1089

PHYSICAL CHEMISTRY
Photosensibilized reduction of thiazine dyes on sols and in solutions
Kh. L. Arvan, A. N. Terenin
1093
Adsorption of ammonia on methoxylated silica-gel surfaces
G. Bliznakov, R. Polikarova, I. Bakyrdzhiev
1097
Oxygen quenching of excited states in chemiluminescent solutions
R. F. Vasil'ev, I. F. Rusina
1101
Separation of hydrogen isotope molecules on synthetic type-$\mathrm{A}$ ceolites in cobalt ion-exchange form
Z. V. Gryaznova, G. M. Panchenkov, V. S. Parbuzin, T. G. Andronikashvili, G. V. Tsitsishvili, O. T. Nikitin, K. E. Avaliani
1105
Rate constants of the thermal excitation of sodium in sodium vapour mixtures with argon and nitrogen
V. N. Kondrat'ev
1108
Approximate calculation of the levelling effect in the electrochemical deposition of a metal
S. I. Krichmar
1111
The maximum concentrations of vacancies and vapour pressure of simple substances at the melting point
B. F. Ormont
1115
The texture of electrodeposited tin
N. Pangarov, V. Mikhailova
1119
The sedimentation constant as dependent on the concentration in “ideal” solvents
I. Ya. Poddubnyi, V. A. Grechanovskii
1122
The influence of organic acids on the border friction and sticking of solids in hydrocarbon liquids
G. I. Fuchs, G. S. Bratova
1125
A contribution to theory of direct current passage through binary electrolyte solutions
A. A. Chernenko
1129
Desactivation of the metastable state of chlorophyll as dependent on trie temperature
A. K. Chibisov, A. V. Karyakin
1132


D. E. Bondarev, Yu. V. Basikhin
990

Number 6

MATHEMATICS
On the generalized Cauchy formula for a first-order elliptic system
M. S. Voloshina
1231
Analytic solutions of a class of operator equations
A. E. Gel'man
1234
The lattice of polyverbal operations
O. N. Golovin
1238
The likelihood ratio for the hypothesis about the trend in certain Gaussian processes
Yu. I. Golosov, A. A. Tempel'man
1242
Uniqueness conditions for the continuous solution for the discontinuity decomposition problem for a system of three equations
V. F. Dyachenko
1245
A general boundary-value problem for parabolic equations in the plane
E. K. Isakova
1249
Representations of the group $(p,p)$ over a field of characteristic $p$
S. A. Kruglyak
1253
On linear second-order differential equations
A. Yu. Levin
1257
On the foundations of the ergodic hypothesis for a dynamical system of statistical mechanics
Ya. G. Sinai
1261
Calculation of the mathematical expectation of a quasiadditive path function on a graph
J. I. Smirnov
1265
Uniqueness classes for the solution of the Cauchy problem for parabolic equations
G. N. Smirnova
1269
Fourier coefficients of Poincaré series of dimension – 2
O. M. Fomenko
1273
An integral representation of a vector which is holomorphic in a sphere
V. I. Shevchenko
1276

CYBERNETICS AND THE REGULATION THEORY
Choice of synthesis criteria for variable-structure combined servomechanisms
B. N. Petrov, S. V. Emel'yanov, E. B. Dudin
1280

MECHANICS
Nonlinear theory of the generation of turbulence
È. M. Khazen
1284

FLUID MECHANICS
Ship waves in a viscous liquid
L. V. Cherkesov
1288

PHYSICS
The transferability of the potential energy coefficients of polyatomic molecules
D. S. Bystrov
1291
Ion-sonic oscillations generated by electron current
V. I. Petviashvili
1295
A second series of ground tests with weightless liquids
V. V. Shuleikin
1299

GEOPHYSICS
Hydrodynamical forecasting of the pressure fields at the mid-level of the atmosphere for the whole sphere taking into account the orography
A. P. Boiko
1303
Dynamic characteristic of the subpolar front in Northern Atlantic
V. M. Gruzinov, K. A. Chekotillo
1307

CRYSTALLOGRAPHY
Phase transition in zinc and manganese fluorides at high pressures and high temperatures
S. S. Kabalkina, S. V. Popova
1310
Electron diffraction study of $\mathrm{BiFeO}_3$ crystals
Yu. Ya. Tomashpol'skii, Yu. N. Venevtsev, G. S. Zhdanov
1313

CHEMISTRY
The structure of ungerin
Kh. A. Abduazimov, S. Yu. Yunusov
1315
Interaction between the oxides of rare-earth and alkali-earth metals
Khari Dev Bkhargava, L. M. Kovba, L. I. Martynenko, Vikt. I. Spitsyn
1318
The $\sigma$-constants of substituents with a trifluoromethyl group
V. F. Bystrov, L. M. Yaguporskii, A. U. Stepanyants, Yu. A. Fialkov
1321
The photoisomerization of $\alpha,\alpha'$-difluorostilbene
V. N. Vasil'eva, K. A. Kocheshkov
1325
Instability constants of palladium complexes
A. A. Grinberg, N. V. Kiseleva, M. I. Gel'fman
1327
Thermal stability of potassium alumohydride
T. N. Dymova, M. S. Selivokhina, N. G. Eliseeva
1330
The ditelluride of lanthanum $\mathrm{LaTe}_2$
A. A. Eliseev, E. I. Yarembash, E. S. Vigileva
1333
Hexafluoracetone imines
Yu. V. Zeifman, N. P. Gambaryan, I. L. Knuniants
1334
The structure of the blood group substances. The hydroxylaminolysis of the blood group substance $\mathrm{A}$ and the general structure of the biopolymer
N. K. Kochetkov, S. G. Kara-Murza, V. A. Derevitskaya
1338
Conformation factors in the cyclization of depsipeptides
Yu. A. Ovchinnikov, V. T. Ivanov, A. A. Kiryushkin, M. M. Shemyakin
1342
Synthesis of oxo derivatives of di-furane series
A. D. Petrov, V. G. Glukhovtsev, S. V. Zakharova
1346
The effect of oxygen on oleic acid
I. N. Plaksin, V. I. Solnyshkin, E. M. Chaplygina
1350
Interaction between diacetylene and bifunctional compounds
M. F. Shostakovskii, I. A. Chekulaeva, L. V. Kondrat'eva
1353

PHYSICAL CHEMISTRY
The yield of molecular products in water radiolysis as dependent on the concentration of radical acceptors
V. M. Byakov
1356
The behaviour of ceolite water and the symmetry of $\mathrm{Ba}_2\mathrm{Al}_4\mathrm{Si}_{12}\mathrm{O}_{32}\cdot12\mathrm{H}_2\mathrm{O}$
S. P. Gabuda, G. M. Mikhaĭlov, K. S. Aleksandrov
1360
The spectra of the electron donator-acceptor complexes of 4-nitrodiphenylalkanes containing a donor group in the other nucleus. The electron-spin resonance effect
V. A. Glushenkov, V. A. Izmailsky, Yu. Sh. Moshkovskii
1363
The conjugation effect in the infrared spectra of nitrocompounds
A. V. Iogansen, G. D. Litovchenko
1367
On the role of titanium dioxide in the glass-crystal structure formation
Yu. N. Kondrat'ev
1370
Faraday's heterodynation
V. G. Levich, B. I. Khaikin, B. M. Grafov
1374
The radiation polymerization of acrylonitryl and methylmetacrylate as influenced by semiconducting additives
L. P. Mezhirova, A. P. Sheinker, A. D. Abkin
1378
Photosemiconducting properties of metal acetylenides
V. S. Myl'nikov, A. N. Terenin
1381
The kinetics of the processes involved in the formation of structure by coagulation in aqueous clay dispersions
F. D. Ovcharenko, V. Yu. Tretinnik, N. N. Kruglitskii
1385
Interaction of tributylphosphate and trlbutylphosphate solvate with diluents
A. M. Rozen, L. P. Khorkhorina, V. G. Yurkin, N. M. Novikova
1387
Quasiline electron vibration spectra of porphin and dehydroporphin
A. N. Sevchenko, K. N. Solov'ev, S. F. Shkirman, M. V. Sarzhevskaya
1391
The catalytic activity of $\mathrm{NaX}$, $\mathrm{CaA}$ and $\mathrm{HX}$ ceolites in cracking and dehydration reactions
G. V. Tsitsishvili, Sh. I. Sidamonidze, Sh. A. Zedgenidze
1395


A. V. Ablov, T. A. Mal'kova
1230

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