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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)

Number 1
MATHEMATICS
On chains of matrix norms
G. R. Belitskii
9
Asymptotic representations in certain problems for random walks
A. A. Borovkov, B. A. Rogozin
11
Recurrence, periodicity and transitivity in dynamical systems without uniqueness
I. U. Bronshtein
15
Boundary behaviour of functions meromorphic in the unit circle
V. I. Gavrilov
19
A new criterion of specialty for $\pi d$-groups with a given number of classes of unattainable iso-ordic $\pi d$-subgroups
V. P. Gromyko
23
An algorithm for solving the convex Chebyshev approximation problem
S. I. Zukhovitskii, R. A. Polyak, M. E. Primak
27
On linearly orderable groups
A. I. Kokorin
31
A problem from the theory of distribution of values
I. V. Ostrovskii
34
Properties of sums of certain trigonometric series
I. N. Pak
38
Projectives of a torsion-free metabelian group
A. S. Pekelis, L. E. Sadovskii
42
Convergence of gradient methods for finding a local conditional minimum of a non-linear functional under linear conditions in a Hilbert space
I. Petersen
45
Solvable algebraic groups
V. P. Platonov
48
Some asymptotic properties of linear systems with a small time lag
Yu. A. Ryabov
52
Orthogonal polynomials on a given system of ares of the unit circle
Yu. Ya. Tomchuk
55
Some equivalent transformation of algorithm schemes
R. N. Tonoyan
59
On an exponential rational trigonometric sum of special type
L. P. Usol'tsev
62
Differential equations with multi-valued discontinuous right-hand side
A. F. Filippov
65
Finitely multiple open mappings of manifolds
A. V. Chernavskii
69
Free polynilpotent groups
A. L. Shmel'kin
73
On the basic problem of convergence of difference schemes
L. I. Yakut
76

THE MECHANICS OF CONTINUOUS MEDIUM
Destructive shock waves in frangible media
Kh. M. Aliev
80

MATHEMATICAL PHYSICS
The construction of $S$-matrices
B. M. Stepanov
84

PHYSICS
Multiquantum transitions in electric spin resonance
N. V. Kravtsov, V. N. Lazukin, V. A. Shanditsev
87
On radiation from readily ionizable plasma impurities in the case of thermal excitation
O. P. Semenova, M. A. Levchenko
90

CHEMISTRY
On the mechanism of silumin modification
Y. A. Bohm
96
Catalytic reduction of $n$-benzoquinone by carbon monoxide in the liquid phase
V. A. Golodov, A. B. Fasman, D. V. Sokol'skii
98
The energy aspect of the complex crystal lattice of silicates
R. G. Grebenshchikov, N. A. Toropov
102
Vittig's reaction in the hydrocarbon series
N. K. Kochetkov, B. A. Dmitriev
106
Initiation of low-temperature polymerization of vinyl chloride by iriethylaluminium under co-catalytic action of oxygen
G. A. Razuvaev, K. S. Minsker, Yu. A. Sangalov, A. I. Graevsky
110
The synthesis of o-fluoro-$\omega$-nitrostyrene and a study of its polymerization capacity
A. V. Topchiev, V. P. Alaniya, M. F. Vagin
114

PHYSICAL CHEMISTRY
Influence of admixtures on the dissociation of cadmium carbonate
L. G. Berg, V. P. Kovyrzina
117
X-Ray absorption $L$ spectra of lanthanum, praseodymium, neodymium and samarium in oxides and fluorides
È. E. Vainstein, I. B. Staryi, M. N. Bril'
120
An investigation of the processes involved in the intermolecular electron transfer under pulsed illumination
O. D. Dmitrievskii, A. N. Terenin
122
Atomic structure of the polyene form of carbon
V. I. Kasatochkin, O. I. Egorova, Yu. G. Aseev
125
Diffusion of organic cations in sulphocationites
G. S. Libinson
127
An investigation of mechanoelectron emission intensity when polymer films are torn off and deformed
A. M. Polyakov, N. A. Krotova
130
Fixation of polypeptide chains in two conformations
V. A. Pchelin, N. V. Grigor'eva, V. N. Izmailova
134
A mass-spectrometric method of determining partial vapour pressures and relative ionization cross-sections of molecules from total evaporation isotherms
L. N. Sidorov, P. A. Akishin
136
The influence of the molecular weight of polyisobutylene on the viscosity and the heat of activation of its concentrated solutions
A. A. Tager, V. E. Dreval', N. G. Trayanova
140
Passivation characteristics of iron-base alloys
G. M. Florianovich, Ya. M. Kolotyrkin
144
The participation of the inhibitor in the act of degenerated chain branching
Yu. A. Shlyapnikov, V. B. Miller, M. B. Neiman, E. S. Torsueva
148
The influence of adsorption on the rate of the processes taking place on a platinum electrode in the quinone-hydroquinone system
Yao Lu-an, V. E. Kazarinov, Yu. B. Vasil'ev, V. S. Bagotskii
151

Number 2

MATHEMATICS
Some results of the analysis of large deviations in boundary-value problems
A. A. Borovkov
247
The Green's function for a diffraction problem on a polyhedral angle
V. A. Borovikov
251
On a problem of L. K. Hua
A. I. Vinogradov
255
On the resolvent of an operator
G. V. Virabyan
258
The Plancherel formula for the group of unimodular matrices of second order with elements in a locally compact field
I. M. Gel'fand, M. I. Graev
262
On ultraparabolic equations
T. G. Genchev
265
Theorems on the transformation and approximation of analytic functions
V. K. Dzyadyk
269
Product of bases in arbitrary regions
V. P. Zaharyuta
273
On the theory of Fischer's information quantity
A. M. Kagan
277
Dirichlet series with a sequence of complex exponents having an angular density
G. L. Lunts
279
The first boundary value problem for certain semi bounded operators
V. P. Mikhailov
282
Splittable linear groups
V. P. Platonov
286
Fourier series and metric properties of functions
O. D. Tsereteli
290
A certain generalization of the space of K. Friedrichs
V. M. Šalov
292

MECHANICS
The stability of the motion of a shaft
Yu. V. Osetinskii
295

AERODYNAMICS
The simplest exact solutions of Boltzmann's equation for rarefied gas motions
A. A. Nikol'skii
299

FLUID MECHANICS
Hypersonic flow past a thin blunt body, as analogous to an explosion
G. G. Chernii
302

MATHEMATICAL PHYSICS
Scattering problem in quasiclassic approximation
V. Maslov
306

PHYSICS
The photoconductivity of thallium iodide sensibilized by dyes, as dependent on the temperature
I. A. Akimov
310
The possibility of recording high-frequency radiations at lower frequencies
N. V. Kravtsov
314
An electron computer solution to the problem of the motion of unlikely charged particles and masses in the field of “magnetic bottles”
S. P. Lomnev
315
Radiation damping of free oscillations
Yu. F. Orlov, S. A. Kheifets
318

GEOPHYSICS
Location of earthquake epicentres by electron computers
I. I. Pyatetskii-Shapiro, T. S. Zhelankina, V. I. Keilis-Borok, L. G. Pavlova, P. T. Reznyakovskii
323
Calculation of the spectrum of particles from spectral transparency data
K. S. Shifrin, A. Ya. Perel'man
326

CRYSTALLOGRAPHY
Magnetic space symmetry of tensors
Yu. I. Sirotin, V. A. Koptsik
328

CHEMISTRY
Syntheses based on organolithium compounds of the furan series. Alkyl-($\alpha$-furyl)-sulphides and some of their transformations
Ya. L. Gol'dfarb, Ya. L. Danyushevskii, M. A. Vinogradova
332
Mass spectrometer study of hydrocarbons. Methyl ethers and acetates of glycosides
N. K. Kochetkov, N. S. Vul'fson, O. S. Chizhov, B. M. Zolotarev
336
The reactions of 1,1,5,5-tetraethylmercapto-1,5-diborapentane with ammonia and amines
B. M. Mikhailov, V. F. Pozdnev
340
Adsorption of cyclohexane on a chromium-aluminium-potassium catalyst
A. M. Rubinshtein, K. I. Slovetskaya, A. L. Klyachko-Gurvich, T. R. Brueva
343
An investigation of the equilibrium conditions when ferrite $\mathrm{Mg}_{0,5}\mathrm{Mn}_{0,5}\mathrm{Fe}_2\mathrm{O}_4$ is reduced by hydrogen
N. M. Stafeeva, A. A. Shchepetkin, V. N. Bogoslovskii, M. G. Zhuravleva, G. I. Chufarov
347
On the polymerization of nitrolefines
A. V. Topchiev, V. P. Alaniya, M. F. Vagin
350
The structure of the ether as influencing the solvation effect when sodium diphenyl and sodium naphthalene are formed
A. I. Shatenshtein, È. S. Petrov, M. I. Belousova, K. G. Yanova, E. A. Yakovleva
353

PHYSICAL CHEMISTRY
The structure of organotin oxides $\mathrm{R}_2\mathrm{SnO}$ as studied with the aid of Messbauer's effect
V. I. Gol'danskiĭ, E. F. Makarov, R. A. Stukan, V. A. Trukhtanov, V. V. Khrapov
357
An investigation of electrode processes on bismuth amalgam by a radiochemical method
V. V. Gorodetskii, V. V. Losev
361
Thermal explosion when heat is transferred by convection and conduction
A. M. Grishin, O. M. Todes
365
Electron spin resonance investigation of the radical form of molecular oxygen adsorption on reduced titanium dioxide
V. B. Kazanskii, O. V. Nikitina, G. B. Pariiskii, V. F. Kiselev
369
Quantum theory of high-speed low-temperature polymerization
L. Ya. Kobelev
373
Electric transfer of ions in absolute sulphuric acid
O. K. Kudra, A. N. Zhitomirskii, Yu. Ya. Fialkov
377
On the instability criteria for sheer deformation processes in elastico-viscous media
A. Ya. Malkin, A. I. Leonov
380
Influence of temperature on the diffusion of mercury in zinc
N. A. Pletneva, N. P. Fedoseeva
384
Formation of HD when hydrogen atoms formed in the gaseous phase react with the solid deuteropolyethylene
V. E. Skurat, V. L. Tal'roze
388
A contribution to the theory of capillary equilibrium in a porous body
A. A. Chernenko, Yu. A. Chizmadzhev
392

Number 3

MATHEMATICS
On the zeros of Siegel
A. I. Vinogradov
479
The optimality of Voronoi's lattice of first type among lattices of first type of arbitrary dimension
A. F. Gametskii
482
Semi-heaps with minimal left ideals
L. M. Gluskin
485
On the Wiener–Hopf equation of the first kind
V. V. Ivanov
489
The powers of sets of precomplete classes of certain functionals of systems related to automata
V. B. Kudryavtsev
493
Invariants of linear representations of the rotation group of the plane and the problem of the center
K. S. Sibirskii
497
On the solution of ill-posed problems and the method of regularization
A. N. Tikhonov
501
Analytic representation of linear functionals in spaces of harmonic and analytic functions which are continuous in a closed region
V. P. Havin
505
On the non-existence of regularly varying tests for the Behrens–Fisher problem
O. V. Shalaevskii
509
Solution of non-selfadjoint equations by a variational method
V. M. Šalov
511
Quasi-invariant kernels in antagonistic games
E. B. Yanovskaya
513

CYBERNETICS AND THE REGULATION THEORY
Multidimensional transportation type problems in linear programming
B. S. Verkhovskii
515

AERODYNAMICS
Measurement of the time in which the equilibrium concentration of electrons is established behind a shock wave in the air
T. V. Bazhenova, Yu. S. Lobastov
519
Three-dimensional homogeneous expansion and compression of a rarefied gas with power functions of interaction
A. A. Nikol'skii
522

FLUID MECHANICS
A numerical method for calculating the propagation of linear waves in open channels, and an application to the flood problem
O. F. Vasiliev, S. K. Godunov, N. A. Pritvits, T. A. Temnoeva, I. L. Fryazinova, S. M. Shugrin
525

THEORY OF ELASTICITY
Some problems bearing on the circular bending of three-layer plates with allowance for a highly elastic deformation of the two outer layers made of glass plastics
A. A. Nikishin, A. L. Rabinovich
528

ASTRONOMY
Radar observations of Venus in the Soviet Union in 1962
V. A. Kotel'nikov, V. M. Dubrovin, B. A. Dubinskii, M. D. Kislik, B. I. Kuznetsov, I. V. Lishin, V. A. Morozov, G. M. Petrov, O. N. Rzhiga, A. M. Shakhovskoi, G. A. Sytsko
532
The soft X-ray radiation of the stars
G. M. Nikol'skii
536

PHYSICS
Majoration technique in quantum mechanics
O. I. Zavialov
539
Magnetic anisotropy of uniaxial ferromagnetics
N. A. Potapkov
543
A generalization of Friedman's models of the universe
K. P. Stanyukovich
546
The ionization mechanism behind the appearance of structural imperfections in crystals
S. V. Starodubtsev, A. E. Kiv
550

GEOPHYSICS
Altitude distribution of charged particles in the ionosphere and the transition zone between oxygen and helium ionic layers as revealed by ion trap tests in the “Cosmos-2” satellite
K. I. Gringauz, B. N. Gorozhankin, N. M. Shyutte, G. L. Gdalevich
560

CRYSTALLOGRAPHY
Integral rational bases of tensor invariants of crystallographic groups
Yu. I. Sirotin
564

CHEMISTRY
A spectrophotometric study of ethanol solutions of $\mathrm{CoCl}_2$ and $\mathrm{CoBr}_2$ when the $\mathrm{Cl}^-$ and $\mathrm{Br}^-$ concentrations are high
M. V. Andreeva, E. V. Stroganov
567
The interaction between furan alcohols and their derivatives and $\alpha,\beta$-unsaturated aldehydes and ketones
V. G. Glukhovtsev, S. V. Zakharova, A. D. Petrov
570
The frequencies and intensities of the infrared absorption bands $\nu$ of diazonium salts-$\mathrm{X}$ – $\mathrm{C}_6\mathrm{H}_4 \mathrm{N}_2\mathrm{Cl}$, as correlated with the constants of the substituent
L. A. Kazitsyna, B. S. Kikot', L. D. Ashkinadze, O. A. Reutov
573
Organoboron compounds. The hydroboration of the dimethyl ester of allylboric acid
B. M. Mikhailov, V. F. Pozdnev, V. G. Kiselev
577
Adsorption of benzene on a chromium–aluminium–potassium catalyst, investigated within a temperature range of 20 to 45$^\circ$C
A. M. Rubinshtein, K. I. Slovetskaya, T. R. Brueva
580
Interaction of radicals from irradiated protein and polymethylmetacrylate with oxygen and alkylphenols
I. I. Sapezhinskii, Yu. V. Silaev, N. M. Emanuel'
584
Thermal stability of synthetic $\mathrm{C}_{32}$ hydrocarbons having a hybrid structure
S. R. Sergienko, L. N. Kvitkovsky
587
Interaction of metallic lanthanum with its trichloride melt and the equilibrium constant of the reaction $2\mathrm{LaCl}_3()+\mathrm{La}()\rightleftarrows3\mathrm{LaCl}_2()$
M. V. Smirnov, P. M. Usov, T. F. Khazemova
591
New data on the mechanism of ethylene polymerization with a soluble catalytic system $\mathrm{Sn}(\mathrm{C}_6\mathrm{H}_5)_4+\mathrm{AlBr}_3+\mathrm{VCl}_4$
L. L. Stotskaya, B. A. Krentsel'
595

PHYSICAL CHEMISTRY
The viscosity of $n$-hexane in the liquid and gaseous states at high pressures and various temperatures
N. A. Agaev, I. F. Golubev
597
The influence of image forces on the charge distribution in a double electric layer
P. G. Ali-zade, G. A. Martynov, V. G. Melamed
601
Temperature distribution in ammonium perchlorate when burning
V. K. Bobolev, A. P. Glazkova, A. A. Zenin, O. I. Leĭpunskiĭ
604
The quenching of positronium and the inhibition of its formation in aqueous and organic solutions
V. I. Gol'danskiĭ, T. A. Solonenko, V. P. Shantarovich
608
On the physical meaning of force constants and the construction of the potential function of polyatomic molecules
L. A. Gribov
612
A contribution to theory of threadlike crystal grouwth on a cathode
S. I. Krichmar
616
Capillary equilibrium in a porous body model with intersecting pores of variable cross-section
V. S. Markin
620
On intermolecular regroupings
L. S. Mayants
624
Structural shanges in certain glasses during citallization
E. S. Sorkin, N. M. Vaysfel'd
628
The ionization and dissociation of hexafluoropropylene by electrons of varied energy
F. N. Chelobov, S. S. Dubov, M. V. Tikhomirov, M. I. Dobrovitskii
631

Number 4

MATHEMATICS
On a class of spaces containing all metric and all locally bicompact spaces
A. Arkhangel'skii
751
On the theory of linear polynomial operations
D. L. Berman
755
On the solvability of the first boundary-value problem for quasi-linear equations with coefficients of rapid growth in Orlicz classes
M. I. Vishik
758
On the application of difference schemes with splitting operators to hyperbolic equations with variable coefficients
E. G. D'yakonov
762
On the convergence of the collocation method
È. B. Karpilovskaya
766
The approximation of functions prescribed outside an interval by entire functions of finite degree
B. D. Kotlyar
770
Spectral analysis of bounded non-selfadjoint operators in space with indefinite metric
A. V. Kuzhel'
772
On a problem of P. S. Urysohn
O. V. Lokutsievskii
775
The hyperenveloping algebra of a Lie algebra and its infinite-dimensional representations in the space of germs of analytic functions
P. K. Rashevskii
778
Almost geodesic mappings of affinely connected and Riemannian spaces
N. S. Sinyukov
781
Bounds for the solutions of general boundary-value problems for elliptic systems
V. A. Solonnikov
783
Asymptotic formulae for the eigenvalues of the Laplace operator in the case of a polygonal domain
B. V. Fedosov
786
Estimates and iteration methods for finding a simple eigenvalue of an almost-decomposable matrix
Miroslav Fidler, Vlastimil Pták
790
On the bending of a surface with boundary
V. T. Fomenko
793
On certain superconstructive propositional calculi
V. A. Yankov
796

CYBERNETICS AND THE REGULATION THEORY
Equivalent transformations of various types of automata
N. A. Gorbovitskaya
799
Complexity of contact circuits realizing a function of logical algebra
R. E. Krichevskii
803
Equivalent transformations for logical networks
V. L. Murskii
807

ASTRONOMY
Radiolocation of Mars in the Soviet Union
V. A. Kotel'nikov, V. M. Dubrovin, B. A. Dubinskii, M. D. Kislik, B. I. Kuznetsov, G. M. Petrov, A. P. Rabotyagov, O. N. Rzhiga, A. M. Shakhovskoi
811

MATHEMATICAL PHYSICS
A two-zone problem in convective heat transfer
N. A. Avdonin
815

PHYSICS
Steady-state properties of the completely ionized plasma surrounding the earth
A. A. Vlasov, F. Kh. Khakimov
818
The splitting energy of hydrogen molecule therms
L. P. Gor'kov, L. P. Pitaevskii
822
Some characteristic features in the formation of $\mathrm{Li}_3^8$ when 660 Mev protons interact with $\mathrm{C}_6^{12}$ nuclei
O. V. Lozhkin, N. A. Perfilov, Yu. P. Yakovlev
826

GEOPHYSICS
On the theory of the progress of crystallization in supercooled clouds
V. I. Belyaev
841

CHEMISTRY
Products resulting from addition of iodine to cobaltic dioximines
A. V. Ablov, G. G. Stratan
845
Reactions involving an intramolecular re-etherification of substituted ethers of $\gamma$-oxypropyl-alkoxysilanes
K. A. Andrianov, V. I. Pakhomov, N. E. Lapteva
849
Interaction of certain arsenous acid chloran hydrides- with diols
Gilm Kamai, R. G. Miftakhova
853
Sulphuration of phosphorylides. Sulphobetaines
Nik. A. Nesmeyanov, S. T. Zhuzhlikova, O. A. Reutov
856
Phosphorylation by acylphosphites
K. A. Petrov, E. E. Nifantyev, I. I. Sopikova
859
Decomposition voltage and thermodynamics of the reaction by which liquid di-and trichlorides of lanthanum are formed from elements
M. V. Smirnov, p. M. Usov
862
Radical isomerization of acetophenone diphenylmercaptol
R. Kh. Freidlina, A. B. Terent'ev, R. G. Petrova
866
The mechanism behind an acid-catalytic decomposition of alkyl hydroperoxides
V. A. Shushunov, V. A. Yablokov
869

PHYSICAL CHEMISTRY
Cathode processes on a disc electrode in oxide melts
V. N. Boronenkov, O. A. Esin, P. M. Shurygin
872
Generalization of viscosity data for saturated hydrocarbons at varied temperatures and pressures
I. F. Golubev, N. A. Agaev
875
The behaviour in an electric field and the stability of non-aqueous plastic dispersed systems
Yu. F. Deinega, G. V. Vinogradov
879
The mechanism of the anode activation of iron
B. N. Kabanov, V. D. Kashcheev
883
On the mechanism of ammonium perchlorate decomposition
A. V. Raevskii, G. B. Manelis
886
The sepwise development of radiation-chemical processes with aromatic compounds in aqueous media
S. A. Safarov
890
A rigorous method of computing the activation energy of electrochemical reactions
B. I. Tomilov, M. A. Loshkarev
894
The molecular mechanism behind the autohesion of polymers having an ordered structure
B. P. Shtarkman, S. S. Voyutskii, V. A. Kargin
898


A. F. Andreev
750

Number 5

MATHEMATICS
A variational method of solving extremal problems in certain classes of analytic functions
I. A. Aleksandrov
999
Estimates in the theory of regular functions of two complex variables
I. I. Bavrin
1003
A characterization of certain classes of finite groups
Ya. G. Berkovich
1007
Complete continuity and strong continuity of Urysohn integral operators
Wang Shen-van
1010
On the sum of the differences of the eigenvalues of two singular Sturm–Liouville operators
M. G. Gasymov, B. M. Levitan
1014
Addition theorems for the weight of topological spaces
W. Holsztyński
1018
On dyadic spaces
B. Efimov
1021
On a class of algorithms over finite sets
Yu. I. Zhuravlev
1025
Cubature formulae on a sphere
A. D. McLaren
1029
On the convergence of orthogonal series of Laguerre, Hermite and Jacobi
V. A. Medvedev
1031
On the realizable formulae of propositional logic
V. A. Yankov
1035

AERODYNAMICS
The method of integral moment kinetic equations
R. G. Barantsev
1038
A method of computing rarefied gas flows
B. V. Kuksenko
1042
On the non-linear theory of aerodynamic stability
V. V. Struminskii
1046

FLUID MECHANICS
Periodic waves originating from a source over an inclined bottom
L. N. Sretenskii
1050

THEORY OF ELASTICITY
Stability of axially symmetric deformations of spherical shells under axially symmetric load
A. V. Pogorelov
1053
The contact problem in the theory of elasticity for bodies of bounded size
A. F. Khrustalev
1056

PHYSICS
On the photovoltaic and photodiffusion e.m.f.
È. I. Adirovich
1060
Specific heat at constant water and steam volumes in single-phase and two-phase regions adjoining the boundary curve including the critical point
Kh. I. Amirkhanov, A. M. Kerimov
1064
An investigation of sulphurous cadmium structures at high pressure up to 90 kbars
S. S. Kabalkina, Z. V. Troitskaya
1068
Pyramidal gliding in zinc crystals
F. F. Lavrent'ev, O. P. Salita
1071
The anisotropy of the ion-electron emission coefficient of single crystals
E. S. Mashkova, V. A. Molchanov, D. D. Odintsov
1074
The microwave spectrum of the $\mathrm{F}_2\mathrm{HC}$$\mathrm{CH}_2\mathrm{F}$ molecule
I. A. Mukhtarov
1076
The paramagnetic component of the magnetic susceptibility of $\mathrm{A}^{\mathrm{III}}\mathrm{B}^{\mathrm{V}}$ semiconducting compounds from X-ray data
N. N. Sirota, N. M. Olekhnovich
1079
Weak-interaction asymptotic expansions for the neighbourhood of the phase-transition critical temperature when a modified formulation is given to the problem of Bose–Einstein's system
V. V. Tolmachev
1081

GEOPHYSICS
The influence of air humidity on the development of convective motions in a cloudless atmosphere
N. I. Vulfson
1089

CHEMISTRY
Directed change of properties in high-molecular compounds
K. A. Andrianov
1093
Synthesis of analogue of 6-demethyltetracycline
I. G. Bolesov, M. N. Kolosov, M. M. Shemyakin
1097
Titanocene compounds with tolane
M. E. Vol'pin, V. A. Dubovitskii, O. V. Nogina, D. N. Kursanov
1100
Anticholin esterase properties of some $\mathrm{O}$-ethyl-$\mathrm{S}$-alkylmethylthiophosphinates
N. N. Godovikov, E. I. Godyna, M. I. Kabachnik, M. Ya. Mikhel'son, E. V. Rozengart, V. A. Yakovlev
1104
Fibrillary unit crystals in a copolymeric polyamide
M. B. Konstantinopol'skaya, Z. Ya. Berestneva, V. A. Kargin
1108
Thermal or pseudoclaisen rearrangements of allyl and propargyl phosphites
A. N. Pudovik, I. M. Aladzheva
1110
Solid solutions of tricalcium silicate with yttrium oxyorthosilicate
N. A. Toropov, A. I. Boikova
1114
The influence of electron donating additives on chain structure in the stereospecific polymerization of butadiene
B. S. Turov, P. A. Vinogradov, B. A. Dolgoplosk, S. I. Kostina
1118
New synthesis of 3-hydroxyflavone, the flavonol
M. K. Shakhova, Yu. Litkei, G. I. Samokhvalov
1120

PHYSICAL CHEMISTRY
The kinetics f benzoyl peroxide breakdown in acetylene hydrocarbons
I. M. Barkalov, V. I. Gol'danskiĭ, Guo Ming-gao
1123
The role of the surface in the continuation of the chain reaction when $n$-butane is oxidized in the liquid phase
È. A. Blyumberg, Yu. D. Norikov, N. M. Emanuel'
1127
A study of the structure of complexes formed by aliphatic organolithium compounds
A. N. Rodionov, T. V. Talalaeva, D. N. Shigorin, G. N. Timofeyuk, K. A. Kocheshkov
1131
An investigation of the reduction of the $\mathrm{MnO}_4^-$ ion on a mercury dropping electrode
B. N. Rybakov, N. V. Nikolaeva-Fedorovich
1135

Number 6

MATHEMATICS
Integral representation of functions holomorphic in convex domains of the space $C^n$
L. A. Aizenberg
1247
Ergodic properties of geodesic flows on closed Riemannian manifolds of negative curvature
D. V. Anosov
1250
On the evbedding of crossed products into fields
A. A. Bovdi
1253
Incommensurability of the minimal linear measure with the length of a set
A. G. Vitushkin, L. D. Ivanov, M. S. Mel'nikov
1256
Asymptotic behaviour of certain rotary motions
V. M. Volosov, B. I. Morgunov
1260
Existence of solutions of linear Hamiltonian equations with unbounded operator coefficients
V. I. Derguzov, V. A. Yakubovich
1264
A generalization of reductive homogeneous spaces
I. L. Kantor
1268
On a generalization of the $T$-problem for the equation $u_{xx}+\operatorname{sign}yu_{yy}=0$
G. Karatoprakliev
1271
Non-negative eigenfunctions of the Beltrami–Laplace operator on symmetric spaces of non-positive curvature
F. I. Karpelevich
1274
Certain extremum problems in the class of polynomials and rational functions
J. I. Mamedkhanov
1277
An application of the method of least squares to the eigenvalue problem
V. A. Medvedev
1280
Universal sequences of functions
D. Men'shov
1283
Contractions on Euclidean spaces
V. V. Proizvolov
1286
Interpolation and extrapolation of linear operators in Orlicz spaces
I. B. Simonenko
1288
On the measure of the set of $S$-numbers in a $p$-adic field
V. G. Sprindzhuk
1292
On the relation between deducibility in intuitionistic propositional calculus and finite implicative structures
V. A. Yankov
1293

CYBERNETICS AND THE REGULATION THEORY
Certain problems of navigation theory
V. S. Shebshaevich
1295

AERODYNAMICS
A cruciform wing of finite span in a compressible flow
B. I. Friedlender
1299

THEORY OF ELASTICITY
Loss of stability by a rotational shell under external pressure uniformly distributed along the parallel
A. V. Pogorelov
1303

ASTRONOMY
Refinement of the spectral scheme of OIII used in calculating its recombination spectrum in stars and nebulae
A. A. Nikitin
1306

PHYSICS
Experimental investigations of the zonal structure of hexagonal selenium and tellurium crystals
V. V. Sobolev
1308

GEOPHYSICS
Computation of the $S_2$ tidal component for the Pacific water area by means of the -2 electronic computer
K. T. Bogdanov, V. A. Magarik
1315

CHEMISTRY
Synthesis of certain phosphorus containing silylferrocenes
K. M. Berdichevskaya, V. S. Chugunov, A. D. Petrov
1319
A study of the copolymerization of butadiene-1,3 with 2,3-dimethylbutadiene-1,3 in the presence of various ion type catalysts
L. S. Bresler, B. A. Dolgoplosk, E. N. Kropacheva, K. V. Nelson, A. P. Nikitina
1322
Bis-(triethylgermyl)-mercury – the first organogermanium compound of mercury
N. S. Vyazankin, G. A. Razuvaev, E. N. Gladyshev
1326
The reaction mechanism underlying the formation of dialkyldichlorosilanes
S. A. Golubtsov, K. A. Andrianov, R. A. Turetskaya, Z. V. Belikova, I. V. Trofimova, N. G. Morozov
1329
Production of grafted copolymers. Copolymers of polytetrafluoroethylene with methylmetacrylate
V. V. Korshak, K. K. Mozgova, T. M. Babchinitser
1332
An investigation of the germanium-sulphur system
Liu Qun-hua, A. S. Pashinkin, A. V. Novoselova
1335
Dimethylphenylsulphoxonium salts
A. N. Nesmeyanov, L. S. Isaeva, T. P. Tolstaya
1339
The trend of the reactions in which electrophile and nucleophile reactants are added to insymmetric diacetylene homologues
A. A. Petrov, Yu. I. Porfir'eva, L. B. Sokolov
1343
Free-radical polymerization of triazine cycles
A. N. Pravednikov, I. E. Kardash, V. P. Bazov, N. V. Eliseeva, V. A. Sharpatyi, S. S. Medvedev
1347
Synthesis of tetrahydrofuran ketones and their isomerization to $\gamma$-diketones
N. I. Shuykin, I. F. Bel'skii, V. M. Shostakovskii, R. A. Karakhanov
1350

PHYSICAL CHEMISTRY
Mossbauer's spectra of complex iron compound with diacetylthiosemicarbazoneoxime
A. V. Ablov, G. N. Belozerskii, V. I. Gol'danskiĭ, E. F. Makarov, V. A. Trukhtanov, V. V. Khrapov
1352
Electron-microscope study of the structure of capron a lavsan fibres treated with phosphotungustic acid
E. M. Belavtseva, K. Z. Gumargalieva, A. I. Kitaigorodskii
1356
The nature of surface platinum oxides formed upon the anode discharge of hydrogen peroxide
A. I. Brodskii, V. A. Lunenok-Burmakina
1358
Certain results of an X-ray spectrum of cerium and lanthanum hydrides
È. E. Vainstein, M. N. Bril', I. B. Staryi, M. E. Kost
1360
The influence of pressure on the phase equilibrium of graphite – cementite in the iron – carbon system
T. P. Ershova, E. G. Ponyatovskii
1364
Elastic properties and crystal formation in glasses
È. K. Keler, E. I. Kozlovskaya
1368
“Negative temperatures” in reversible photochemical reactions
M. G. Kuz'min
1371
The variation of the mechanism of electrochemical reactions in a nonprotogenic medium in response to adding a proton donor
È. S. Levin
1375
Kinetic and catalytic currents on a hanging dropping electrode
V. G. Levich, Z. Ch. Grabovskii, V. Yu. Filinovskii
1379
The general equation and electric analogue of an electrolytic cell with a stationary spherical microelectrode
R. Sh. Nigmatullin
1383
Approximate values of reaction rate constants in radiation reactions when a hydra ted electron is involved
A. K. Pikaev, P. Ya. Glazunov, Vikt. I. Spitsyn
1387
The influence of the reaction mixture on the catalyst during a catalytic process
A. Ya. Rozovskii
1390


E. V. Kukharskaya, Yu. I. Skorik, N. G. Boiko
1246

B. S. Pavlov
1246

E. A. Volkov
1246

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