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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)

 Dokl. Akad. Nauk SSSR, Volume 154 (1964)

 Dokl. Akad. Nauk SSSR, Volume 155 (1964)

 Dokl. Akad. Nauk SSSR, Volume 156 (1964)

 Dokl. Akad. Nauk SSSR, Volume 157 (1964)

 Dokl. Akad. Nauk SSSR, Volume 158 (1964)

 Dokl. Akad. Nauk SSSR, Volume 159 (1964)

 Dokl. Akad. Nauk SSSR, Volume 160 (1965)

Dokl. Akad. Nauk SSSR, Volume 161 (1965)

Number 1
MATHEMATICS
Applicability conditions and an error bound for the averaging method for systems in the process of evolution through a resonance
V. I. Arnol'd
9
On series which are close to Dirichlet series
B. S. Bronstein
13
An elementary method of separation of variables in equations of several variables
A. M. Bukhvalov
16
On the complete continuity of integral operators
D. A. Vladimirov
19
A contribution to the first variation theory
R. V. Gamkrelidze
23
Undecidability of certain fields
Yu. L. Ershov
27
On non-normal regular partitions of Euclidean space
A. M. Zamorzaev
30
On a strong mixing condition for stationary Gaussian processes
I. A. Ibragimov
33
An estimate from above for the entropy of a classical dynamical system
A. G. Kushnirenko
37
On the behaviour of an integral of Temljakov type of the first kind at corner points of a domain $D$ of type $A$
G. L. Lukankin
39
Recurrent and almost periodic limit trajectories of non-autonomous systems of differential equations
V. M. Millionshchikov
43
On deformations of fiber spaces
A. L. Onishchik
45
Decompositions of infinitely divisible laws without a Gaussian component
I. V. Ostrovskii
48
A family of differential survival games in the space $R^n$
L. A. Petrosyan
52
Polyhedrally closed systems of linear inequalities
S. N. Chernikov
55

CYBERNETICS AND THE REGULATION THEORY
Some problems of checking the performance and locating failures in finite automata
V. V. Karibskii, P. P. Parkhomenko, E. S. Sogomonyan
59

ASTRONOMY
New data on the conditions in which Czechoslovakian tektites (vltavines) have fallen
G. G. Vorob'ev, G. Shkrov
63

MATHEMATICAL PHYSICS
Convergence of a decoupling method for the radiation transfer equation
G. I. Marchuk, U. M. Sultangazin
66

PHYSICS
A new hysteresis effect in silicon $p$$n$-transitions
È. I. Adirovich, P. I. Knigin, Yu. S. Korolev
70
Polarization effects during the production of particles in counter beam experiments
V. N. Baier, V. S. Fadin
74
An analysis of conditions for the appearance of varied distribution of impurities in crystals in the case of directional crystallization
B. I. Birman, B. L. Timan
78
Kinetic current instability of Alfven waves in a plasma with ions of finite Larmor radius
A. B. Mikhailovskii, È. A. Pashitskii
81
A contribution to the theory of reflection of ions and atoms from solid surfaces
È. S. Parilis, N. Yu. Turaev
84
On the computation of the permittivity and conductivity of the electron-phonon system
N. M. Plakida
88
Formation and decay of negative ions
B. M. Smirnov
92

GEOPHYSICS
The flow of rocks as related to seismicity
Yu. V. Riznichenko
96

CHEMISTRY
The synthesis and physico-mechanical properties of polymer films regular in structure
K. A. Andrianov, V. N. Emel'yanov, L. A. Sukhareva, Yu. P. Smirnova, P. I. Zubov
99
The spectroscopic study of the tautomerism of the methyl and ethyl esters of 4-ketotetrahydrothiopyrone-3-carboxylic acid
B. A. Arbuzov, O. A. Erastov, A. B. Remizov
103
A new method for automatic microdetermination of carbon and hydrogen in organic compounds
N. È. Gel'man, P. I. Bresler, B. N. Ruzin, N. V. Grek, N. S. Sheveleva, A. A. Mel'nikova
107
Polarity and strength of intermolecular bonds in complexes formed by tin tetrachloride with organic sulfides
I. P. Gol'dshtein, E. N. Gur'yanova, K. A. Kocheshkov
111
The structure of the product of reaction between phosphite and ethanolamine
N. P. Grechkin, R. R. Shagidullin, L. N. Grishina
115
The composition of neodymium-activated glass as influencing the absorption spectra and the length of luminescence
I. I. Kitaigorodskii, V. A. Blinov, M. V. Artamonova, O. D. Burkov
118
Isotopic exchange between molecular oxygen and the oxides of the rare earth elements
Kh. M. Minachev, G. V. Antoshin
122
An investigation into the activation of certain analogues of aminoacids in the presence of the total fraction of pH5-enzymes of E. coli 
M. B. Reznikova, M. A. Novikova, G. L. Zhdanov
125
A spectral study of the photoreduction of hydrogenated tetraphenylporphin derivatives
A. N. Sidorov
128
The hyrdogenation kinetics of benzene at atmospheric pressure and at higher pressure
Yu. S. Snagovskii, G. D. Lyubarskii, G. M. Ostrovskii
132
$\mathrm{O}$-esters of trinitromethane in the reaction of 1,3-dipolar cycloaddition
V. A. Tartakovsky, E. I. Chlenov, G. V. Lagodzinskaya, S. S. Novikov
136

PHYSICAL CHEMISTRY
Certain properties of the formation function and its related quantities
A. A. Bugaevskii
140
A new variety of anomalous mixed crystals
D. N. Bykhovskii, I. K. Petrova, T. Z. Turovskaya
143
Thermostatic effect with water in glass capillaries
B. V. Deryagin, Yu. Shutor, S. V. Nerpin, M. A. Arutyunyan
147
Oxygen ionization on silver
G. V. Zhutaeva, N. A. Shumilova, M. R. Tarasevich
151
The molecular weight distribution of polymers in the case of chain transmission with a rupture
V. V. Ivanov, A. A. Shaginyan, N. S. Enikolopyan
154
The “suspension” electrode
R. M. Lazorenko-Manevich, A. V. Ushakov
156
Two-stage kinetics on inhomogeneous surfaces
M. I. Temkin
160

Number 2

MATHEMATICS
On Ponomarev's theory of absolutes of topological spaces
P. S. Aleksandrov
263
An analogue to the theorem of Plemelj-Privalov for the case of nonsmooth curves and its applications
A. A. Babaev, V. V. Salaev
267
Some criteria for the stability of functionals
E. V. Voronovskaya
270
Determination of a Sturm–Liouville equation with a singularity by two spectra
M. G. Gasymov
274
A class of decomposition of the Lobacevskii space
V. S. Makarov
277
Irreducible exceptional submanifolds, of the first kind, of three-dimensional complex-analytic manifolds
B. G. Moishezon
279
Almost-metrizable topological groups
B. A. Pasynkov
281
Differential survival games with several players
L. A. Petrosyan
285
Engel elements and the radical in $PI$ -algebras and topological groups
V. P. Platonov
288
A version of the constructive calculus of predicates without structural deduction rules
R. A. Pliuškevičius
292
On the pointwise and integral cardinality of systems of subsets of a topological space
V. Proizvolov
296
An approximation theorem and lattice isomorphisms
L. E. Sadovskii
300
On the number of limit cycles arising from a singular point of focus or center type
K. S. Sibirskii
304
Conformal-metric theory of doubly connected domains and the generalized Blaschke product
P. M. Tamrazov
308
Boundary value problems with analytic coefficients
G. P. Cherepanov
312

FLUID MECHANICS
Density near the forward stagnation point off a blunt body in a supersonic flow of rarefied gas
A. V. Ivanov
315

PHYSICS
Connected oscillators in adiabatic approximation
G. M. Zaslavsky, S. S. Moiseev
318
Electron-spin resonance of zerium in $\mathrm{PbMoO}_4$ single crystals
I. N. Kurkin, A. M. Morozov, L. Ya. Shekun
322
Some characteristic features in the conductivity and photoconductivity of thin $\mathrm{Se}$$\mathrm{As}$ layers in the region of strong electric fields
V. M. Lyubin, V. I. Fomina, L. È. Tsyrlin
324
Plasma conductibity in strong electric and magnetic fields
V. P. Silin
328

GEOPHYSICS
Determination of fractioning coefficients and the biological accessibility of the products of nuclear explosions in radioactive fallouts
Yu. A. Izrael
343
Solar semiannual tide in the ocean
I. V. Maksimov
347

CHEMISTRY
Electron diffraction study of the molecular structure of trivalent nitrogen compounds: $\mathrm{N}$-dimethylaniline
L. V. Vilkov, T. P. Timasheva
351
The synthesis of pyrylium salts by the condensation of oxymethylenecyclohexanone with ketones
G. N. Dorofeenko, G. V. Lazur'evskii, G. I. Zhungietu
355
Carbofunctional derivatives of silicacyclobutanes
N. S. Nametkin, V. M. Vdovin, P. L. Grinberg, È. D. Babich
358
The mechanism underlying the catalytic action of $\mathrm{Co}^{2+}$ compounds in the reaction by which uretanes are formed
I. A. Pronina, Yu. L. Spirin, A. A. Blagonravova, S. M. Aref'eva, A. R. Gantmakher, S. S. Medvedev
362
Cis and trans forms of propenyl compounds of $\mathrm{As}^{\mathrm{III}}$, $\mathrm{Hg}^{\mathrm{II}}$ and $\mathrm{Sn}^{\mathrm{IV}}$
N. A. Chumaevskii, A. E. Borisov
366
Interaction of dialkyltin oxides with Iozich's reagent
M. F. Shostakovskii, N. V. Komarov, V. K. Misyunas, A. M. Sklyanova
370

PHYSICAL CHEMISTRY
Kinetic features of non-isotropic polymerization in the solid phase
Al. Al. Berlin, I. M. Barkalov, V. I. Gol'danskiĭ, N. S. Enikolopyan
373
On the nature of the adhesion bond between polymers
S. S. Voyutskii, B. V. Deryagin, V. G. Raevsky
377
Adsorption and chemisorption of the vapours of oxygen-containing organic substances
N. N. Gryazev, L. N. Solyanova
380
Synthetic chabasites and their adsorptive properties
S. P. Zhdanov, N. N. Buntar-Samulevich, M. E. Ovsepyan
384
Molecular nuclei of condensation
Ya. I. Kogan
388
Activation energy computed on the additivity principle. Hydrocarbon reactions
F. B. Moin
392
Dispersion structure of finely ground graphite investigated by scattering X-rays at small angles
G. M. Plavnik, L. A. Feigin
395
Photosensibilizing properties of polyconjugate organic polymers
G. V. Khutareva, G. P. Brin, B. È. Davydov, B. A. Krentsel', A. A. Krasnovskii
399
The influence of electrolytes on crystallizational structure formation (solidification) in hemihydrated calcium sulfate suspensions
E. A. Shabanova, E. E. Segalova, P. A. Rebinder
403
The role of $n\to\pi^*$-transitions in ionization and decomposition processes
D. N. Shigorin, V. K. Potapov
406


M. A. Veliev
262

Number 3

MATHEMATICS
Some estimates for the coefficients of bounded holomorphic functions
I. I. Bavrin
503
The theory of the heat potential
Van Tun
507
A supplement to my 1933 paper on the regular arrangement of a crystal
B. N. Delone
511
On the equi-dissectability of two equi-completable polytopes
V. B. Zylev
515
A limit theorem for determinants in the class of Boolean functions
I. N. Kovalenko
517
Tests, unbiased estimates, and cotest ideals
Yu. V. Linnik
520
Locally bicompact rings without zero divisors
Z. S. Lipkina
523
Metric properties of mappings of the class $BL^{3/2}$
I. S. Ovchinnikov
526
A priori solutions of type $L^p$ of solutions of parabolic equations
M. D. Ramazanov
530
Functionally invariant solutions of second-order equations
B. V. Rusanov
534
On the definition of cohomology dimension
E. G. Sklyarenko
538

CYBERNETICS AND THE REGULATION THEORY
An arithmetic function applicable to coding theory
R. R. Varshamov
540
The invariance of nonsearching self-adaptive systems with a reference-model
B. N. Petrov, V. Yu. Rutkovskii
544

FLUID MECHANICS
Nonsteady waves above an underwater ridge
R. M. Garipov
547

ASTRONOMY
Measurement of the polarization and brightness temperature distribution of Venus on the 10,6 cm wave
A. D. Kuz'min, B. J. Clark
551

PHYSICS
Degenerate pinch in $\mathrm{InSb}$
G. Akramov
554
Diffractional synchronization of optical quantum generators
N. G. Basov, È. M. Belenov, V. S. Letokhov
556
Damping of uniform turbulence in a weakly conducting liquid
B. V. Eliseev
560
A physical characteristic of Einsteinian spaces of the second degenerate type in the Petrov classification
V. D. Zakharov
563
A new technique of studying thermal diffusion in gases
Yu. T. Mazurenko
566
Ultraviolet spectra of certain two-component lead-silicate glasses
E. V. Smirnova
569
Stresses due to temperature in unevenly heated gases
Yu. I. Yalamov, B. V. Deryagin
572

GEOPHYSICS
“Polar tide” in the Baltic sea
I. V. Maksimov, V. P. Karklin
580

CHEMISTRY
Stereospecific polymerization of butadiene by catalytic systems based on the $\pi$-allyl complexes of nickel
B. D. Babitskii, B. A. Dolgoplosk, V. A. Kormer, M. I. Lobach, E. I. Tinyakova, V. A. Yakovlev
583
The mechanism of electrophile and homolytic substitution in the olefine carbon atom
I. P. Beletskaya, V. I. Karpov, O. A. Reutov
586
The nature of irreversible polymorphous transformations of rare-earths
A. G. Boganov, V. S. Rudenko
590
New compounds of rare earths, strontium and barium
Khari Dev Bkhargava, L. M. Kovba, L. I. Martynenko, Vikt. I. Spitsyn
594
Light heterolytic rupture of the carbon – carbon bond in cycloheptatriene derivatives
M. E. Vol'pin, I. S. Akhrem
597
Separation of the isomeric diamines of divalent platinum and of the products of their interaction with thiourea
A. A. Grinberg, M. I. Gel'fman
601
Infrared spectra of some cyclopentadienyl compounds of titanium
G. G. Dvoryantseva, Yu. N. Sheinker, A. N. Nesmeyanov, O. V. Nogina, N. A. Lazareva, V. A. Dubovitskii
603
Certain features in the complexing of organophosphorus complexons
N. M. Dyatlova, M. I. Kabachnik, T. Ya. Medved', M. V. Rudomino, Yu. F. Belugin
607
Chemical changes in the $\beta$-decay of iodine isotopes as a method of synthesizing xenon compounds
A. N. Murin, I. S. Kirin, V. D. Nefedov, S. A. Grachev, Yu. K. Gusev
611
The nature of radicals in the initiation of polymerization by organic peroxysilicarbonates
G. A. Razuvaev, L. M. Terman, D. M. Ianovsky
614
Isomeric high-temperature transformations in polyimides
A. P. Rudakov, M. I. Bessonov, M. M. Koton, E. I. Pokrovskii, E. F. Fedorova
617
Synthesis of edpethylene
R. Shakirov, R. N. Nuriddinov, S. Yu. Yunusov
620

PHYSICAL CHEMISTRY
The nature of the salt's cation and anion as influencing the state of the coordinated aminogroup
M. S. Barvinok, I. S. Bukhareva
622
A comparative study of chemical ripening and photolysis of photographic emulsions
J. L. Brown, Y. A. Kirillov, K. V. Chibisov
624
Ceolytic catalysts with the cations of first-group metals
P. N. Galich, I. T. Golubchenko, B. S. Gutyrya, V. G. Il'in, I. E. Neimark
627
Variation regularities of certain physical and chemical properties when semiconductors of different structural groups are fused
V. M. Glazov, A. N. Krestovnikov, N. N. Glagoleva
629
Optical isomers of propylene oxide polymerized by heterogeneous catalysis
V. S. Livshits, O. V. Krylov, E. I. Klabunovskii
633
Rotational relaxation of diatomic molecules
E. E. Nikitin
637
Correspondence between quantum equations and classical equations for a system of two linear terms
M. Ya. Ovchinnikova
641
Bounded mutual solubility of gases in the water-nitrogen system
D. S. Tsiklis, V. Ya. Maslennikova
645


N. F. Komissarenko, V. T. Chernobai, D. G. Kolesnikov
502

Number 4

MATHEMATICS
Bounds for rational trigonometric sums of a special type
N. M. Akulinichev
743
On the local best approximation to functions by polynomials
Yu. A. Brudnyi
746
Relaxation on surfaces with saddle-points
I. M. Glazman
750
An exceptional case of integral equations of convolution type in the class of generalized functions
V. B. Dybin
753
Eigenfunctions of an elliptic operator in certain unbounded regions
A. M. Il'in
757
Asymptotic formulae for eigenvalues of an elliptic membrane
N. V. Kuznetsov
760
The topological structure of stability-regions of a self-adjoint system of differential equations with periodic coefficients
V. B. Lidskii, P. A. Frolov
764
On commutative algebras of operators in the space $\Pi_k$
M. A. Naimark
767
Nonlinear high-order automatic systems investigated by exact analytic methods
R. A. Nelepin
771
On real entire functions belonging to the class $W_\sigma^{(1)}$
B. A. Rymarenko
774
Hartogs' theorem in certain normed fields
M. Sh. Stavskii
776
Infinitley small deformations of surfaces wih sleeve junctions
V. T. Fomenko
780
The solution of an equation of infinite order in a uniqueness class
Yu. N. Frolov
783
Estimates of the coefficients of Hartogs functions of several complex variables
A. F. Shadrov
785

CYBERNETICS AND THE REGULATION THEORY
Double invariance of automatic control systems
B. N. Petrov, V. Yu. Rutkovskii
789

AERODYNAMICS
The plane wing in a hypersonic flow
G. G. Chernii
791

FLUID MECHANICS
A non-linear theory of the appearance of turbulence in flows with a mean velocity-gradient
È. M. Khazen
795

PHYSICS
Limit cross section of the radiation beam from an optical quantum generator
N. G. Basov, È. M. Belenov, V. S. Letokhov
799
On the statistical theory of the acceleration of particles by magnetohydrodynamic waves in a weakly turbulent rarified plasma
A. A. Galeev
802
Optical quantum generator on $\mathrm{CaF}_2:\mathrm{Dy}^{2+}$
V. V. Kostin, T. M. Murina, A. M. Prokhorov, V. T. Udovenchik
806
The use of a quantum paramagnetic amplifier of a travelling wave in astronomic investigations on 8-cm radiowave
L. I. Matveenko, G. S. Misezhnikov, M. M. Muchina, V. B. Shteĭnshleĭger
810
The energy spectra of scattered ions as influenced by the crystal structure of the target
E. S. Mashkova, V. A. Molchanov, V. Soshka
813
Reduction to a cellular-diagonal form of the matrices of operators commutable with the group of symmetry operators
N. K. Morozova, V. P. Morozov
817

GEOPHYSICS
Certain features of the energy spectrum of oceanic turbulence
R. V. Ozmidov
828

CHEMISTRY
The synthesis of polyatomic organosilicon etheroalkohols
K. A. Andrianov, L. I. Makarova
833
Stereospecific polymerization of butadiene in the presence of catalytic systems, based on $\pi$-cyclopentadienyl complexes of nickel
B. D. Babitskii, T. G. Golenko, B. A. Dolgoplosk, V. A. Kormer, V. I. Skoblikova, E. I. Tinyakova
836
Neutral iminodiacetates of certain metals, investigated by means of infrared spectroscopy
A. I. Grigor'ev, N. M. Prutkova, N. D. Mitrofanova, L. I. Martynenko, Vikt. I. Spitsyn
839
Phase structure of $\mathrm{Ti}$$\mathrm{Al}$ alloys containing from $0$ to $30$ % of $\mathrm{Al}$
I. I. Kornilov, E. N. Pylaeva, M. A. Volkova, P. I. Kripyakevich, V. Ya. Markiv
843
Isotopic exchange of hydrogen atoms in cyclopentadienyl rings of cobalticinium compounds
D. N. Kursanov, V. N. Setkina, N. K. Baranetskaya, G. G. Dvoryantseva, R. B. Materikova
847

PHYSICAL CHEMISTRY
Catalytic properties of zirconium phosphate
A. A. Balandin, A. I. Kukina, N. E. Malenberg, M. M. Ermilova
851
Energy of interaction between simple molecules and faujasite type zeolites
P. Breuer, A. V. Kiselev, A. A. Lopatkin, S. Shpigel
853
Oriented polyvinylidene chloride produced by radiation polymerization from the gaseous phase on oriented polymeric substrates
A. V. Vlasov, L. G. Tokareva, D. Ya. Tsvankin, B. L. Tsetlin, M. V. Shablygin
857
Mass-spectrum of water ionized by a strong electric field
I. V. Gol'denfeld, V. A. Nazarenko, V. A. Pokrovskii
861
The durability of polymeric coatings as dependent on the conditions of their formation and ageing
P. I. Zubov, V. S. Golikova, L. A. Sukhareva
864
Thermodynamic features in the deformation of chlorinated guttapercha when in a highly elastic state
V. A. Kargin, N. A. Plate, Tran Hieu, V. P. Shibaev
867
Two-quantum photochemical processes in frozen solutions of triphenylmethane compounds
Yu. I. Kozlov, D. N. Shigorin
871
An experimental investigation of the extrinsic photoeffect from the surface of diluted potassium amalgams in the liquid and solid states
V. B. Lazarev, Yu. I. Malov
875
The possibility of acidbasic catalysis of radical reactions
A. A. Medzhidov, A. L. Buchachenko, M. B. Neiman
878
Radiation polymerization of hexamethylcyclotrisiloxane in the solid phase
G. M. Trofimova, I. M. Barkalov, S. S. Kuz'mina, V. I. Gol'danskiĭ, N. S. Enikolopyan
882
Corrosion processes at a steel surface, as investigated by means of secondary ionic emission
V. I. Shvachko, B. T. Nadykto, Ya. M. Fogel', K. S. Garger
886
Equilibria when sodium and lithium react with diphenyl in electron-donating solvents
A. I. Shatenshtein, È. S. Petrov, M. I. Belousova
889


Yu. A. Serguchev, E. A. Shilov
742

Number 5

MATHEMATICS
Certain extremal problems of the theory of polynomial operators
D. L. Berman
999
The moduli of convexity and smoothness of Banach spaces
V. I. Gurarii
1003
The continuity and complete continuity of operators of P. S. Uryson
P. P. Zabreiko
1007
Certain properties of solutions of non-linear equations of parabolic type in Hilbert space
Ya. D. Mamedov
1011
The problem of $M$-convexity
V. P. Palamodov
1015
Semigroups of transformations of rank not exceeding two
B. V. Popov
1019
On non-linear equations of the first kind
A. N. Tikhonov
1023
On certain Cauchy problems with initial data on a line of degeneracy
S. P. Khairullina
1027

FLUID MECHANICS
The influence of rotation of the appearance of turbulence in plane flows
Wo Hung-an, B. A. Tverskoi
1030
A boundary problem for filtration under pressure
N. B. Il'inskii
1033
Stability of steady flows of viscous incompressible fluids
V. I. Yudovich
1037

THEORY OF ELASTICITY
Refection and refraction of plane plastic waves
N. V. Zvolinsky, G. V. Rykov
1041
Torsion of a composite anisotropic cylindrical body with a slightly curved axis
G. M. Khatiashvili
1044

MATHEMATICAL PHYSICS
On the estimation of oscillatory behaviour for certain non-Hamiltonian systems
V. M. Volosov, B. I. Morgunov
1048
On the theory of ordered statistical systems
V. N. Zhigulev
1051
The statistical mechanics of a one-dimensional system with Coulomb interaction
I. P. Pavlotsky
1055

PHYSICS
Radiation in a single $\mathrm{GaSe}$ crystal induced through excitation with fast electrons
N. G. Basov, O. V. Bogdankevich, A. N. Pechenov, G. B. Abdullaev, G. A. Akhundov, È. Yu. Salaev
1059
Anomalously strong influence of pressure on optical and ferroelectric properties of single $\mathrm{SbSJ}$ crystals
K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin
1060
Continuous solar optical quantum generator on $\mathrm{Dy}^{2+}$ in $\mathrm{CaF}_2$
A. A. Kaminskii, L. S. Kornienko, A. M. Prokhorov
1063
Photoelectric properties of $p$-$\mathrm{ZnSiAs}_2$ and $p$-$\mathrm{CdGeAs}_2$ crystals
F. P. Kesamanly, Yu. V. Rud', S. V. Slobodchikov
1065
Grüneisen's constant in Thomas–Fermi approximation
V. P. Kopyshev
1067
Mass relations in the octet model with mixing
M. B. Menskii
1069

CHEMISTRY
Standard heats of formation of $\mathrm{ZrCl}_4$ and $\mathrm{HfCl}_4$
G. L. Galchenko, D. A. Gedakyan, B. I. Timofeev, S. M. Skuratov
1081
Diferrocenylamine
A. N. Nesmeyanov, V. A. Sazonova, V. I. Romanenko
1085
Comparative reactivity of norcarane and cyclopropane derivatives in ionic reactions
O. M. Nefedov, N. N. Novitskaya, V. I. Shiryaev
1089
Interatomic distances in latanoids in metal crystals
E. S. Sarkisov
1093
The influence of potassium iodide on the iodine-polyvinyl alcohol colour reaction
L. G. Tebelev, N. S. Silkina
1096
Low-temperature radiation polymerization of acroleine
E. I. Finkel'stein, A. D. Abkin
1098
Correlation of the dissociation constants of carboxylic acids $\mathrm{RCOOH}$ and Taft's $\sigma^*$ constants with the nuclear quadrupole resonance frequencies of halogens in $\mathrm{RHal}$ compounds
E. N. Tsvetkov, G. K. Semin, D. I. Lobanov, M. I. Kabachnik
1102
The synthesis and stability of certain furyl silanes
D. M. Shopov, S. S. Dyankov, N. S. Nametkin
1106

PHYSICAL CHEMISTRY
Mass-spectrometer study of the photoionization of scarcely volatile organic compounds
M. E. Akopyan, F. I. Vilesov
1110
The rate of Brownian coagulation of aerosols in thirteenmoment approximation
A. V. Astakhov
1114
The mechanism of high-temperature methane oxidation in shock waves
V. V. Voevodskii, R. I. Soloukhin
1118
Chemisorption heats and structure of surface compounds on metals
A. I. Gorbunov
1121
Observation of the electromotive force when germanium is grown epitaxially upon germanium and a gas transfer reaction with water is used
Yu. A. Zotov, V. N. Maslov, A. P. Mitin
1124
The choice of a reference point when studying the thermodynamic similarity of gases
Ya. Z. Kazavchinskii
1127
Polymerization of vinylpyridines on macromolecules of polystyrene sulphuric acid
V. A. Kargin, V. A. Kabanov, O. V. Kargina
1131
The mechanism of free radicals formation in the decomposition of hydroperoxides under the action of organic acids
L. G. Privalova, Z. K. Maizus, N. M. Emanuel'
1135
Thermal dehydration of polygorskite as investigated with the aid of infrared spectroscopy
Yu. I. Tarasevich, F. D. Ovcharenko
1138
The chemisorption of oxygen as influencing the work function and electric conductivity of titanium dioxide
E. N. Figurovskaya, V. F. Kiselev, F. F. Vol'kenshtein
1142
Diffusion in the polyisobutylene-solvents system, investigated by the interferential micromethod
A. E. Chalykh, R. M. Vasenin
1146
Silanol groups, intraglobular and at the surface of silica gels obtained hydrothermally
V. M. Chertov, D. B. Dzhambaeva, A. S. Plachinda, I. E. Neimark
1149

Number 6

MATHEMATICS
Finite groups with a pair of non-conjugate nilpotent maximal subgroups
V. A. Belonogov
1255
The non-realizability of disjunction of non-realizable formulae of the propositional calculus
F. L. Varpakhovskii
1257
The structure of the analytic solutions of a class of systems of linear partial differential equations with constant coefficients
B. A. Vostretsov
1259
On the roots of trigonometric polynomials
M. Ya. Zinger
1263
On the rate of convergence to the normal distribution
I. A. Ibragimov
1267
A priori estimates for solutions of linear second-order equations of elliptic and parabolic types
A. V. Ivanov
1270
General theorems on quadratic relaxation
Yu. I. Lyubich
1274
The formulation and methods of solution of a general boundary problem of the theory of operators from the viewpoint of functional analysis. Problems of Cauchy and Dirichlet type
D. P. Mil'man
1278
Fluctuations in the distribution of fractional parts
L. P. Postnikova
1282
On an integrable case of the Riemann boundary problem for several functions
G. P. Cherepanov
1285

CYBERNETICS AND THE REGULATION THEORY
A parametric method of solving fractional programming problems on analogue computers
M. V. Rybashov, E. E. Dudnikov
1289

MECHANICS
A mechanical analogy of a gyroscopic stabilizer with elastically pliable elements
A. Yu. Ishlinskii
1291

THEORY OF ELASTICITY
Flexion under a transverse force of composite anisotropic cylindrical bodies with slightly curved axis
G. M. Khatiashvili
1295

ASTRONOMY
Tentative estimation of the threshold sensitivity of a television system from stellar observations
A. N. Abramenko, E. S. Agapov, V. F. Anisimov, Yu. S. Efimov, V. B. Nikonov, V. V. Prokof'eva, S. M. Sinenok
1299
8 mm Radiowave emission by Saturn
B. G. Kutuza, B. Ya. Losovskii, A. E. Salomonovich
1301

MATHEMATICAL PHYSICS
Asymptotic estimation of certain rotational motions in the case of resonance
V. M. Volosov, B. I. Morgunov
1303

PHYSICS
Induced radiation in gallium arsenide when optically excited
N. G. Basov, A. Z. Grasyuk, V. A. Katulin
1306
Recombination radiation in $\mathrm{InSb}$ due to magnetoconcentration
V. I. Ivanov-Omskii, B. T. Kolomiets, V. A. Smirnov
1308
The constants of recombination centres in cadmium sulfide as determined by the kinetics of infrared quenching of photocurrent
V. E. Lashkarev, A. V. Lyubchenko, M. K. Sheĭnkman
1310
Quasiline electron spectra of tetrabenzoporphyrin
A. N. Sevchenko, K. N. Solov'ev, S. F. Shkirman, T. F. Kachura
1313
Lepton annihilation of proton-antiproton pairs with allowance for form factors and polarization correlations
A. A. Sokolov, B. K. Kerimov, F. S. Sadykhov, R. Sh. Yakhyaev
1317
Langmuir wave damping near the ionic sound radiation threshold
G. I. Suramlishvili
1320

CHEMISTRY
Methylcyclooctane transformations in the presence of platinum catalysts
E. S. Balenkova, N. A. Khafisova, S. I. Khromov, B. A. Kazanskii
1329
The synthesis of $\mathrm{N}$-substituted aromatic amines
G. F. Bebikh, A. A. Grinberg
1333
Investigation into the nuclear quadrupole resonance of 1,1-dichloro- and 1-methyl-1-chloro-1-silacycloalkanes
I. P. Biryukov, M. G. Voronkov, È. D. Babich, T. N. Arkhipova, V. M. Vdovin, N. S. Nametkin
1336
Isomerization and fragmentation of carbenium ions upon sulfate alkylation
B. V. Ioffe, B. V. Stolyarov
1339
A new way of synthesizing furanosides. The synthesis of $3$-$\mathrm{O}$-($\beta$-$D$-galactofuranosyl)-$D$-mannite
N. K. Kochetkov, A. Ya. Khorlin, A. F. Bochkov
1342
Oxidation of the methyl ether of o-amino-$n$-tert.-butylphenol, as investigated by means of electron spin resonance
F. N. Mazitova, Yu. M. Ryzhmanov
1346
Substitution of a proton for a halogen in ferrocene halides
A. N. Nesmeyanov, D. N. Kursanov, M. N. Nefedova, V. N. Setkina, È. G. Perevalova
1349
On the thermal rearrangement of complete phosphorous acid esters with saturated radicals
A. N. Pudovik, A. P. Rakov
1352
Interaction between hexafluoroacetone and triethylphosphite
E. M. Rokhlin, Yu. V. Zeifman, Yu. A. Cheburkov, N. P. Gambaryan, I. L. Knuniants
1356
Some new compounds of rare earths with lithium
N. I. Sevost'yanova, I. A. Murav'eva, L. M. Kovba, L. I. Martynenko, Vikt. I. Spitsyn
1359
Direct fluorovinylation reaction
A. Ya. Yakubovich, A. P. Sergeev, I. N. Belyaeva
1362
Hydrogenation of cis-1,4-polybutadiene in the presence of soluble catalysts
A. I. Yakubchik, B. I. Tikhomirov, I. A. Klopotova, L. N. Mikhailova
1365

PHYSICAL CHEMISTRY
A calorimetric investigation of the radiation polymerization kinetics
I. M. Barkalov, V. I. Gol'danskiĭ, V. B. Rapoport
1368
Absorption features of colloidal solutions and dry layers of certain organic dyes
Y. A. Kirillov, A. B. Gol'denberg, E. A. Nesterovskaya, K. V. Chibisov
1371
Heats of oxygen chemisorption on silver and their variation in response to sulphur introduced at the surface
V. E. Ostrovskii, N. V. Kul'kova
1375

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