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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)

Number 1
MATHEMATICS
Homogeneous cones
È. B. Vinberg
9
The index of boundary value problems for systems of harmonic functions in three independent variables
A. I. Vol'pert
13
A family of axial planes of a two-dimensional surface in a four-dimensional projective space and certain problems connected with this family
V. V. Goldberg
16
An algorithm for the solution of a generalized problem in linear programming
S. I. Zukhovitskii
20
Spaces with affine connection adjoint to $n$ vector fields
Yu. I. Levin
24
The information stability of Gaussian random variables and processes
M. S. Pinsker
28
Isomorphism and approximate dimensionality of spaces of holomorphic functions
S. Rolewicz
31
A limit theorem for independent random variables
A. V. Skorokhod
34
The degenerate case of almost periodic oscillations of quasilinear systems with time delay
S. N. Shimanov
36
On a class of parabolic systems
S. D. Èidel'man
40

ASTRONOMY
Some calculations of the thermal history of the Moon
B. Yu. Levin, S. V. Maeva
44

MATHEMATICAL PHYSICS
“Ghost” states and the condition of crossing symmetry
V. D. Kukin, A. R. Frenkin
49

PHYSICS
Formation of charge-carrying mesons by 290-Mev negative pions on hydrogen
Yu. A. Batusov, N. P. Bogachev, S. A. Bunyatov, V. M. Sidorov, V. A. Yarba
52
Photoluminescence within the fundamental absorption edge of mixed $\mathrm{CdSe}$$\mathrm{CdS}$ crystals
E. F. Gross, V. V. Sobolev
56
An investigation of the angular correlation of the $\gamma$-quanta produced by the annihilation of positrons and electrons in bismuth
I. Ya. Dekhtyar, V. S. Mikhalenkov
60
“Non-physical” thresholds in the perturbation theory
O. I. Zavialov
64
The stability of plasma in the field of a magnetic dipole
B. B. Kadomtsev, V. E. Rokotyan
68
Initiation and development of cracks in crystals during the process of deformation
L. A. Kochanova, E. D. Shchukin, V. I. Likhtman, P. A. Rebinder
71
A point source of light in an absorbing medium between parallel planes
I. N. Minin
74
On the causality of non-local field theory
V. D. Sutula
77
Refinement of superposition approximation in the theory of liquids
I. Z. Fisher, B. L. Kopeliovich
81
Reduction of the relativistic integral of collisions to Boltzmann's form
N. A. Chernikov
84

GEOPHYSICS
Emission of neutrons by rocks
G. V. Gorshkov, N. M. Lyatkovskaya
92

CHEMISTRY
Quantitative estimation of slight admixtures of rare-earth elements by spectral analysis without the use of a reference standard
Yu. I. Belyaev
95
Interaction of $\mathrm{N}$-benzoyl-($\mathrm{O}$-benzoylphenylalanyl-$\mathrm{C}^{14}$)-serine with proteins
M. M. Botvinik, A. P. Andreeva
98
The synthesis of trans-1-oxy-1-acetoxyacetyl-6-acetoxy-4,5-(4'-metoxybenzo)-hydrindane, an analogue of corticoid hormones
G. S. Grinenko, V. I. Maksimov, V. I. Aksenova
102
Extraction with the aid of two complex-forming substances
V. M. Dziomko
106
Oxygen initiated polymerization of ethylene by heterogeneous catalysis in the presence of hydrogen
N. I. Ershov, Ya. T. Eidus, V. R. Erokhina
108
Electron paramagnetic resonances spectra of some aromatic and aliphatic metal-ketyls in solutions
V. M. Kazakova, Ya. K. Syrkin
112
No twofold protonization of hydrazocompounds takes place in the process of regrouping
V. O. Lukashevich
115
Organoboron compounds. Reactions of 1,2-diarylboranes with olefines and diene hydrocarbons
B. M. Mikhailov, V. A. Dorokhov
119
Production of organopolonium compounds by using chemical alterations taking place during the $\beta$-decay of $\mathrm{RaE}$
A. N. Murin, V. D. Nefedov, V. M. Zaitsev, S. A. Grachev
123
Oxyferrocenes and their derivatives
A. N. Nesmeyanov, V. A. Sazonova, V. N. Drozd, L. A. Nikonova
126
Catalytic transformations of alcohols and cyclic hydrocarbons on titanium dioxide
A. A. Tolstopyatova, A. A. Balandin, I. R. Konenko
130
Inhibition of hydrocarbon cracking in molten sodium and in potassium hydroxide
A. V. Topchiev, Ya. M. Paushkin, A. V. Nepryakhina, P. G. Anan'ev, N. N. Dmitrievsky
134
A new method of simultaneous determination of silicon and halogens in organosilicon compounds
M. N. Chumachenko, M. O. Korshun, V. P. Burlaka, V. N. Simonova
138
The electronic structure of the ferrocenium cation and other aromatic complexes of metals
E. M. Shustorovich, M. E. Dyatkina
141

PHYSICAL CHEMISTRY
Differences in the oxidation mechanism of liquid and gaseous ethyl alcohol
È. A. Blyumberg, G. E. Zaikov, Z. K. Maizus, N. M. Emanuel'
144
The effect of water vapour on the interaction between germanium and oxygen
R. Kh. Burshtein, L. A. Larin, G. F. Voronina
148
The test of the strength of $\mathrm{C}$$\mathrm{O}$ bonds by isotopic exchange
V. G. Vasil'ev, E. N. Kharlamova
152
Measurement of sound velocity in detonation products
V. M. Zaitsev, P. F. Pokhil, K. K. Shvedov
155
An adiabatic theory of electron processes in solutions
V. G. Levich, R. R. Dogonadze
158
The nature of the decrease of current on polarographic waves limited by the preceding chemical reaction
S. G. Mairanovskii
162
The electric properties of intracomplex compounds
O. A. Osipov, V. M. Artemova
166
The kinetics of electrode processes on a silicon electrode in acid and alkaline solutions
E. N. Paleolog, K. S. Korotkova, N. D. Tomashov
170
Condition for the stability of the solid-liquid interface on the crystallization of a binary alloy
D. E. Temkin
174
An enquiry into the nature of secondary chemical bonds
D. N. Shigorin, A. N. Rodionov, T. V. Talalaeva, K. A. Kocheshkov
178


A. V. Nikol'skaya, V. A. Geiderich, Ya. I. Gerasimov
8

Number 2

MATHEMATICS
On the embeddability of semigroups in groups
S. I. Adian
255
Some geometric properties of nomographic equations
S. V. Bakhvalov
258
Averaging of some perturbed motions
V. M. Volosov
261
The asymptotic behavior of the probabilities of errors when information is transmmitted through a channel without memory with a symmetric matrix of transition probabilities
R. L. Dobrushin
265
Some transformations of Markov processes
E. B. Dynkin
269
Some problems in the analytic theory of partial differential equations
Yu. F. Korobeinik
273
Analytic semigroups and incorrect problems for evolutionary equations
S. G. Krein, O. I. Prozorovskaya
277
Structural isomorphisms of solvable groups
A. S. Pekelis
281
The domain of the values of functional $I=\ln\frac{w^\lambda\varphi'(w)^{1-\lambda}\varphi'(0)^\nu}{\varphi(w)^\lambda|\varphi(w)|^\kappa}$ on certain classes of bounded single-valued functions
M. I. Red'kov
284
The application of the method of small parameters in obtaining solutions of differential equations with delayed arguments
Yu. A. Ryabov
288
On the stability of periodic motions
T. N. Tribeleva
292

FLUID MECHANICS
Some automodel gas motions with plane waves in magnetic fluid dynamics
O. A. Berezin
296
Flow of a viscous conducting fluid between two porous planes
N. P. Dzhorbenadze, D. V. Sharikadze
299

ASTRONOMY
The existence of oscillatory motions in the three-body problems
K. Sitnikov
303

MATHEMATICAL PHYSICS
A contribution to the proof of double spectral representations
A. V. Astakhov
307
Limit solutions to non-linear equation of parabolic type
R. M. Zaidel, K. A. Semendyaev
311

PHYSICS
Integral representation of the dispersion formula for a hydrogen atom in the ground state
M. N. Adamov
315
Flow of a conducting gas past a current-carrying plate
A. P. Kazantsev
318
Anisotropic tensors
Yu. I. Sirotin
321
A superfluid model of the nucleus
V. G. Solov'ev
325
Causality principle and the second law of thermodynamics
Ya. P. Terletskii
329
Relativistic kinetic equation and equilibrium state of a gas in a statistic gravitational field having spherical symmetry
N. A. Chernikov
333
On the Raman effect theory
P. P. Shorygin, L. L. Krushinsky
337

GEOPHYSICS
The recorded integral heat values of solar radiation between $64^\circ$ s. lat, and $60^\circ$ n. lat.
Yu. G. Ryzhkov
352

CHEMISTRY
Electron diffraction study of neodymium oxides
M. S. Beletskii, M. I. Erusalimskii
355
Interaction of $\mathrm{N}$-benzoyl-$\mathrm{O}$-(benzoylphenylalanyl-$\mathrm{C}^{14}$) serine with ribonuclease
M. M. Botvinik, A. P. Andreeva
359
Colour reaction for hydrazine and the substances that liberate hydrazine
G. Ya. Vanag, R. A. Zhagat
362
$\mathrm{C}_5$-Dehydrocyclization of alkylcyclopentanes to bicyclic hydrocarbons
B. A. Kazanskii, A. L. Liberman, I. M. Kuznetsova, V. T. Aleksanyan, Kh. E. Sterin, G. V. Loza
364
Synthesis and transformations of monocyclic secondary acetylene alcohols
G. P. Kugatova, G. A. Laumyanscas, G. K. Krasil'nikova, V. V. Mozolis, V. I. Kal'velite
367
The saponification of tetraethylacetals of $\beta$-dicarbonyl compounds and certain ways of utilizing the substances thereby formed
V. F. Kucherov, L. A. Yanovskaya, B. G. Kovalev
370
Equilibrium with hydrogen and thermodynamic characteristics of $\mathrm{BaMoO}_4$ and $\mathrm{BaMoO}_3$
V. I. Lavrent'ev, Ya. I. Gerasimov, T. N. Rezukhina
374
On the mechanism of the reaction of palladium salts with olefines in hydroxyl-containing solutions
I. I. Moiseev, M. N. Vargaftik, Ya. K. Syrkin
377
Isomerization of a free $n$-propyl radical in solutions
O. A. Reutov, T. N. Shatkina
381
Hydrolytic decomposition of oxidized coals
R. N. Smirnov
383
On the chemical bond in the molecules of trivalent metal acetylacetonates
E. A. Shugam, L. M. Shkol'nikova
386

PHYSICAL CHEMISTRY
Anode solution of germanium with a $p$$n$ transition
O. G. Deryagina, E. N. Paleolog, N. D. Tomashov
388
The electrochemical and photoelectrochemical behaviour of a silicon electrode
S. U. Izidinov, T. I. Borisova, V. I. Veselovsky
392
Operation of voltaic cell with a solid electrolyte having a mixed conductivity
S. V. Karpachev, S. F. Pal'guev
396
On the mechanism of powder burning
G. B. Manelis, A. G. Merzhanov, F. I. Dubovitskii
399
Interaction of microadmixtures with the crystal surface
I. V. Melikhov, Qiu Xiao-si, M. S. Merkulova
401
The molecular mechanism underlying the deformations of polymeres
G. A. Patrikeev
405
Equilibrium potentials of zirconium in molten fluoride-chloride mixtures
M. V. Smirnov, V. E. Komarov, A. N. Baraboshkin
409
An investigation of the catalytic decomposition of hydrazine on nickel sulphide and on its solid solutions
Huang Yu-mei, N. P. Keier, S. Z. Roginskii
413
Loss of charge by hydrogen ions on palladium and the ionization of hydrogen dissolved in palladium, as affected by the adsorption of anions
L. T. Shanina
417
Luminescence spectra of the halogen derivatives of anthraquinone in frozen solutions
D. N. Shigorin, N. A. Shcheglova, N. S. Dokunikhin
420
Paramagnetic resonance in various types of $\alpha$, $\alpha$-diphenyl-$\beta$-picrylhydrozyl
Yu. V. Yablokov
424

Number 3

MATHEMATICS
Plancherel's measure for the factor-space $SL(n;R)/SO(n;R)$
T. S. Bhanu Murti
503
A certain class of non-linear extremum problems
E. G. Gol'shtein
507
Self-adjoint extensions of a system of commuting symmetric operators
R. S. Ismagilov
511
The existence and uniqueness of a periodic solution of a non-linear problem concerning the forced vibrations of a string
V. N. Karp
515
The Stieltjes integral in $K$-spaces
Romulus Kristesku
519
The use of the characteristic functional and semi-invariants in the ergodic theory of stationary processes
V. P. Leonov
523
Classes of domains and imbedding theorems for function spaces
V. G. Maz'ya
527
The entropy, rate of establishment of entropy and entropic stability of Gaussian random quantities and processes
M. S. Pinsker
531
On weighted-polynomial approximation of analytic functions in infinite domains
V. A. Tonjan
535
On subsemigroups of free semigroups
L. N. Shevrin
537
A sufficient condition for the solvability of a multi-dimensional problem of moments
G. I. Èskin
540

FLUID MECHANICS
The Cauchy–Poisson problem for waves of finite amplitude
L. N. Sretenskii, Ya. I. Sekerzh-Zen'kovich
544

MATHEMATICAL PHYSICS
The structure of nonrelativistic counter-terms
B. M. Stepanov
547

PHYSICS
A significant drop of average break-down gradients in long gaps with an oblique voltage wave
E. M. Bazelyan, E. N. Brago, I. S. Stekolnikov
550
Experimental investigations of the compression of a lump of electrons in a 280 Mev synchrotron
A. G. Ershov, F. A. Korolev, O. F. Kulikov, B. I. Shkurskii
554
On the solution of the integral equation for refraction of electromagnetic waves at a boundary
I. N. Minin
558
Broad absorption bands in infrared spectra of adsorbed molecules
L. M. Roev
561
Certain polarization features in the fluorescence of porphyrines
A. N. Sevchenko, G. P. Gurinovich, K. N. Solov'ev
564
Statistical theory of the nonlinear field
Ya. P. Terletskii
568

CHEMISTRY
On the existence of cis- and transforms of diaquo-bis-dimethylglyoximatocobaltic salts
A. V. Ablov, M. P. Filippov, N. M. Samus'
575
Catalytic dehydrogenation of cyclohexanol
A. A. Balandin, O. K. Bogdanova, A. P. Shcheglova
578
The significance of the kinetic isotopic effect to the theory of hydrogen substitution in aromatic systems
F. M. Vainshtein, E. A. Shilov
581
Synthesis of some 8,9-pentamethylenepurines
R. G. Glushkov, O. Yu. Magidson
585
Cyclopenten-4-dione-1,3
È. Ya. Gren, G. Ya. Vanag
588
Copolymerization of the diethyleneamides of phosphorus acids with bifunctional organic compounds
N. P. Grechkin
592
Absorption spectra of 4-$\mathrm{NO}_2$-diphenylamine derivatives. The influence of electron-donor groups in the metaposition and alkylation of the $\mathrm{NH}$-group
V. A. Izmailsky, K. A. Nuridzhanyan
594
Organomagnesium compounds of the isoxazole series
N. K. Kochetkov, S. D. Sokolov, N. M. Vagurtova, E. E. Nifantyev
598
Nitration of triphenyloxonium and diphenylhalogenonium cations
A. N. Nesmeyanov, T. P. Tolstaya, L. S. Isaeva, A. V. Grib
602
Isomerization of the propyl cation
O. A. Reutov, T. N. Shatkina
606
Adsorption of hydrogen on $\mathrm{Pt}/\mathrm{Al}_2\mathrm{O}_3$ and $\mathrm{Pd}/\mathrm{Al}_2\mathrm{O}_3$ low percentage catalysts in the liquid phase
D. V. Sokol'skii, E. I. Gil'debrand
609
A study of complex formation by some $\alpha$-oxyacids with ittrium and cerium
Vikt. I. Spitsyn, O. Vojtěch
613
Alkylation of 2-chloranizole by propylene, butene-2 and cyclohexene in the presence of $\mathrm{BF}_3\cdot\mathrm{H}_3\mathrm{PO}_4$
A. V. Topchiev, V. G. Kryuchkova, S. V. Zavgorodnii
617

PHYSICAL CHEMISTRY
Electrochemical and photoelectrochemical processes on $p$- and $n$-types of germanium in the region of cathode polarization
R. M. Lazorenko-Manevich, N. A. Aladzhalova, V. I. Veselovsky
620
The fine structure of Rayleigh's light scattering in solutions and the dispersion of hyperacoustic oscillations
L. V. Lanshina, M. I. Shakhparonov
624
The initiating action of nitrozyl chloride in propane oxidation
Z. K. Maizus, N. M. Emanuel'
627
On the mechanism underlying the influence of slight admixtures of electrolytes on the strength of the crystal structure formed by solidification
E. E. Segalova, Z. N. Markina, P. A. Rebinder
630
Stationary states of distributed electrochemical systems and their stability
V. P. Smilga, Yu. A. Chizmadzhev
633
Normal and shear stresses as dependent on the value of strain when aluminium naphthenate gel passes from a state of rest to steady flow
A. A. Trapeznikov, A. S. Morozov, G. G. Petrzhik
637
Chemical adsorption on $\mathrm{NiS}$, both pure and containing some alien matter
Huang Yu-mei, N. P. Keier, S. Z. Roginskii
641
The effects of the metal and the solvent on the formation of aromatic anion radicals which initiate polymerization
E. A. Yakovleva, È. S. Petrov, S. P. Solodovnikov, V. V. Voevodskii, A. I. Shatenshtein
645

Number 4

MATHEMATICS
The Lagrange–Sylvester formula for tensor functions, depending on two tensors
B. D. Annin
743
On principal notions of algebraic topology. Axiomatic definition of cohomology groups
V. G. Boltyanskii, M. M. Postnikov
745
Characteristic difference scheme for non-stationary kinetic equation
V. Ya. Gol'din
748
Integral equations with almost difference kernels
L. S. Rakovshchik
752

CYBERNETICS AND THE REGULATION THEORY
Extremum control of objects with inertia and of unstable objects
V. V. Kazakevich
756

MECHANICS
On nonlinear oscillations in a weak external field, a description by Lagrange's equations
V. I. Gaĭduk
760

FLUID MECHANICS
On the interaction of strong explosion waves with an electromagnetic field
V. P. Korobeinikov, V. P. Karlikov
764
The existence of aperiodic flows with free boundaries
Yu. P. Krasovskii
768
A method of shock wave calculation
V. F. Kuropatenko
771
A homogeneous rapid deformation of turbulence in a gas
V. A. Frost
773

THE MECHANICS OF CONTINUOUS MEDIUM
Equilibrium and motion of spheres in a viscoplastic liquid
U. Ts. Andres
777

THEORY OF ELASTICITY
Contact problem for an elastic layer under the action of an eccentric vertical force on a circular rigid stamp
K. E. Egorov
781
Elastic deformations of convex shells in the transcritical region
A. V. Pogorelov
785

PHYSICS
New isomeric states of spherical europium nuclei with an odd mass number
E. E. Berlovich, V. N. Klement'ev, L. V. Krasnov, M. K. Nikitin, I. Yursik
789
An investigation of the toroidal discharge in a rapidly varying longitudinal magnetic field
D. P. Ivanov, V. D. Kirillov
793
Relative yield and energy distribution of photodeutons from copper
A. P. Komar, E. D. Makhnovskii, V. P. Poddubnov
797
Perturbation theory for a simple structure operator
B. L. Livshits
800
Jumplike movement of dislocations in $\mathrm{NaCl}$ crystals
V. N. Rozhanskii, V. M. Stepanova
804
Quenching of sensibilized fluorescence in solutions
B. Ya. Sveshnikov, L. A. Limareva
807

GEOPHYSICS
On the principles to follow in constructing geophysical apparatus for electric prospecting by the method of frequency characteristic
K. B. Karandeev, L. Ya. Mizyuk
831
Calculation of the crystallization front movement in a supercooled cloud acted upon by solid $\mathrm{CO}_2$
A. G. Kolesnikov, V. I. Belyaev
835
Determination of the coefficients of vertical intermixing of particles in a free atmosphere
A. G. Laktionov
838

CHEMISTRY
Effects of conjugation energy on the rate of catalytic dehydrogenation of alkylaromatic and alkylhexahydroaromatic, hydrocarbons
O. K. Bogdanova, A. A. Balandin, I. P. Belomestnykh
841
On the alkylation of aromatic hydrocarbons by defines in the presence of $\mathrm{BF}_3\cdot\mathrm{H}_3\mathrm{PO}_4$
R. N. Volkov, S. V. Zavgorodnii
843
Some new reactions of addition of acetylene carboxylic acids and their ethers
E. I. Grinblat, I. Ya. Postovskii
847
The formation of 1,2,3-oxadiazine cycle when 1,1'-diacetylferrocene reacts with aryldiazonia
A. N. Nesmeyanov, È. G. Perevalova, N. A. Simukova, Yu. N. Sheinker, M. D. Reshetova
851
Production oi arylhalogenides from aromatic oxycompounds
O. M. Nefedov, Ya. L. Levkov, A. D. Petrov
855

PHYSICAL CHEMISTRY
An investigation into the influence of the specific radioactivity of cerium oxalate on its solubility
Vikt. I. Spitsyn, N. G. Moshchanskaya
859
The rate of diffusion of electrolytic hydrogen as influenced by the condition of that side of an iron membrane where the diffusion begins
I. A. Bagotskaya, L. D. Kovba
862
The effect of particle size on the rate of burning of mixtures containing $\mathrm{KClO}_4$ as the basic ingredient
N. N. Bachman, A. F. Belyaev
866
The mechanism of the electrolytic polishing of metals as considered in the light of electron microscope investigations of the metal surface at different stages of treatment
G. S. Vozdvizhenskiii, G. A. Gorbachuk, G. P. Dezideriev
869
Unequilibrium state behind a shock wave in the air
S. A. Losev, N. A. Generalov
872
The influence of selenium and tellurium on the catalytic action of silver in the oxidation of ethylene
V. E. Ostrovskii, N. V. Kul'kova, A. D. Nedbaeva
875
A rapid chromatographic method of measuring gas and vapour adsorption isotherms
S. Z. Roginskii, M. I. Yanovskii, Lu Pei-chan, G. A. Gaziev, G. M. Zhabrova, B. M. Kadenatsi, V. V. Brazhnikov
878
The kinetics of the pyridine-sulphotrioxide hydrolysis
I. G. Ryss, D. B. Donskaya
882
The influence of temperature on the rate of corrosion of metals in acid media
V. A. Khitrov, V. I. Shatalova, I. S. Slol'yaninov, Yu. I. Sadovskaya
886
The effect of light on an anode-polarized germanium electrode
A. A. Yakovlev, T. I. Borisova, V. I. Veselovsky
889

Number 5

MATHEMATICS
On Adams' spectral sequence
A. M. Vinogradov
999
Certain properties of solutions of mixed problems for a parabolic equation with discontinuous coefficients
L. I. Kamynin, V. N. Maslennikova
1003
Conjugate manifolds and their applications
S. E. Karapetyan
1007
Bounds of trigonometric sums involving completely uniformly distributed functions
N. M. Korobov
1011
The sixth moment for the $L$-series and an asymptotic formula in Hardy–Littlewood's problem
Yu. V. Linnik
1015
Gauss and Kloosterman sums
A. V. Malyshev
1017
Coefficients of convergent orthogonal series in complete systems of functions
A. M. Olevskii
1021
Dynamical systems with completely positive or zero entropy
M. S. Pinsker
1025
Two analytic methods in the theory of small solutions of nonlinear integral equations
V. V. Pokornyi
1027
Relation between curvature and topological structure for Riemannean spaces of an even number of dimensions
V. A. Toponogov
1031
A new class of parabolic systems of equations
U Hou-sin
1034
Prime numbers in short arithmetic progressions
È. K. Fogels
1038

CYBERNETICS AND THE REGULATION THEORY
Reducing the influence of inertia in extremum regulation of $n$-th order objects
V. V. Kazakevich
1041

MECHANICS
Motion of a gyroscopic compass under the action of random forces
Ya. N. Roitenberg
1045

FLUID MECHANICS
On the general theory of axially symmetrical gas motions
V. P. Karlikov
1049

ASTRONOMY
New two-shell planetary nebulae
G. A. Gurzadyan
1053

PHYSICS
The influence of tunnel transitions on the shape of nuclear magnetic resonance signals in crystals
I. V. Aleksandrov
1057
Photoelectric emission from solid layers of organic dyes
F. I. Vilesov, A. N. Terenin
1060
Some features of the brittle fracture of metal crystals
E. D. Shchukin, L. A. Kochanova, V. I. Likhtman
1064
Excitation of the spin system of a ferromagnetic by a spatially non-uniform electromagnetic field
E. N. Yakovlev
1067

GEOPHYSICS
On the calculation of evaporation from bounded water reservoirs with allowance for horizontal intermixing
L. S. Gandin, R. È. Soloveichik
1070

CHEMISTRY
On the structural correspondence in catalysis
A. A. Balandin
1073
An optical study of the conformations of cyclohexanone and some of its derivatives
M. I. Batuev, A. A. Akhrem, A. V. Kamernitskii, A. D. Matveeva
1077
On the stability of complex compounds of bivalent platinum
A. A. Grinberg, M. I. Gel'fman
1081
Copolymerization of ethylene with propylene and $\alpha$-butylene on chromium oxide catalyst
M. A. Dalin, I. I. Pis'man, A. A. Bakhshi-Zade, A. A. Buniyat-Zade
1084
Pressure and associative state of saturated liquid antimony vapour
V. V. Illarionov, A. S. Cherepanova
1086
Contact transformations of cyclooctane in the presence of platinized charcoal
B. A. Kazanskii, E. A. Shokova, S. I. Khromov, V. T. Aleksanyan, Kh. E. Sterin
1090
Interaction between diisopropylidene glucose and the halogen complexes of triphenylphosphite
N. K. Kochetkov, L. I. Kudryashov, A. I. Usov
1094
An investigation of the catalytic dehydrogenation of isopentane
K. P. Lavrovskiĭ, A. L. Rosental', Zhang Zhao-lan
1098
A semiempirical method of estimating the formation heats of hydroperoxides and the conjugation energies of some peroxide radicals
G. I. Likhtenshtein, A. L. Buchachenko, V. I. Vedeneev
1102
Ferrocenylmethyl lithium
A. N. Nesmeyanov, È. G. Perevalova, Yu. A. Ustynyuk
1105
Isotopic exchange between diaryliodonium borofluorides and aryliodides labelled by $\mathrm{J}^{131}$
O. A. Reutov, G. A. Èrtel', O. A. Ptitsyna
1108
An investigation into the process of solution of barium sulphate labelled by two radioactive tracers
Vikt. I. Spitsyn, E. A. Torchenkova, I. N. Glazkova
1111
Bond conjugation in 1,1-bis-(trifluoromethyl)-2-nitroethylene and hexafluoroisopropylidenemalonic ester
Chen Qing-yun, N. P. Gambaryan, I. L. Knuniants
1113
On the mechanism of isomerization and deuterium exchange of naphthenes in liquid $\mathrm{HBr}$
A. I. Shatenshtein, K. I. Zhdanova, V. M. Basmanova
1117
An enquiry into the ways of constructing a ring system of $\mathrm{BA}$ tetracyclines
M. M. Shemyakin, Yu. A. Arbuzov, M. N. Kolosov, Yu. A. Ovchinnikov
1121
Catalytic dehydrocyclization of $\beta$-$n$-butylnaphthalene
N. I. Shuykin, L. A. Erivanskaya, Yang Ai-si
1125

PHYSICAL CHEMISTRY
The mechanism of a reciprocal transfer of copper when bronze is in rubbing contact with steel
D. N. Garkunov, V. N. Lozovskii, A. A. Polyakov
1128
On the measurement of the condensation coefficient
R. Ya. Kucherov, L. È. Rikenglaz
1130
Morphology of molecular packings in linear polyethers
Yu. V. Mnyukh, E. M. Belavtseva, A. I. Kitaigorodskii
1132
Auto-oscillation processes in some electrochemical systems
Yu. A. Chizmadzhev
1136


S. G. Mikhlin
998

Number 6

MATHEMATICS
Triangular representation of some operators with completely continuous imaginary part
M. S. Brodskii
1271
Free commutative and free anticommutative products of algebras
A. T. Gainov
1275
On the theory of multidimensional singular integral equations
I. Ts. Gokhberg
1279
On Riemann spaces with sufficiently large groups of motions
G. I. Kruchkovich
1283
On the geometrical meaning of the projective curvature tensor in manifolds with affine connection
V. G. Lemlein
1287
New limit theorems for sums of independent random variables
Yu. V. Linnik
1291
Representation of integers by positive quadratic forms with four and more variables
A. V. Malyshev
1294
On a very short exponential rational trigonometric sum
A. G. Postnikov
1298
The mean value theorem for linear elliptic equations with Lipschitz class coefficients
Z. V. Reytblat
1300
The central limit theorem for geodesic flows on manifolds of constant negative curvature
Ya. G. Sinai
1303

CYBERNETICS AND THE REGULATION THEORY
Extremal control processes with dynamic transformation and memory storage of the input signal when perturbations are present
A. P. Yurkevich
1307

THE MECHANICS OF CONTINUOUS MEDIUM
Some experimental investigations into the dynamics of soft grounds
V. D. Alekseenko, S. S. Grigoryan, A. F. Novgorodov, G. V. Rykov
1311

PHYSICS
The effects of a multiple scattering on transition radiation
V. E. Pafomov
1315

GEOPHYSICS
On the non-linear theory of unsteady wind over mountain slopes
Kh. N. Zeytunyan
1319

CRYSTALLOGRAPHY
The rate of layered-spiral crystal growth from solution or melt
A. A. Chernov
1323

CHEMISTRY
Trivalent cobalt dioximines containing a selenocyano group
A. V. Ablov, N. M. Samus'
1327
Equilibrium in the $\mathrm{V}_2\mathrm{C}$$\mathrm{H }_2$$\mathrm{CH}_4$$\mathrm{V}$ system
V. I. Alekseev, L. A. Schwarzman
1331
Formation of conjugate dienamines when mono- and di-quaternary salts of 1,4-diamines react with aqueous alkali solutions
A. T. Babayan, H. B. Bagdasaryan, M. G. Indjikyan
1334
Azobenzene as acceptor of hydride hydrogen
A. N. Nesmeyanov, R. V. Golovnya
1337
The mechanism of acetylene hydration according to Kucherov, as investigated with the aid of deuterium
A. F. Rekasheva, I. P. Samchenko
1340
Production and properties of scandium diboride
G. V. Samsonov
1344
Production of titanyl oxalates of divalent metals and a physical-chemical study of their thermal decomposition
B. V. Strizhkov, A. V. Lapitskii, L. G. Vlasov, A. I. Tsvetkov
1347
On the dehydrogenation of butane-butylene mixtures upon an aluminium-chromium catalyst
A. P. Shcheglova, O. K. Bogdanova, A. A. Balandin
1350

PHYSICAL CHEMISTRY
Specific catalytic activity of iron films towards the isotopic exchange reaction in molecular hydrogen
M. A. Avdeenko, G. K. Boreskov, K. N. Zhavoronkova
1354
The effect of molecular weight on the luminescence of high molecular compounds
V. F. Gachkovskii
1358
Emission of chemically active particles on aluminium oxidation
M. Ya. Gen, Yu. I. Petrov
1361
An investigation of the spontaneous shrinking of polymeres with a developed space structure when they are being ruptured
V. E. Gul', V. V. Kovriga, A. N. Kamenskii
1364
Rate of electron exchange reactions in solutions
R. R. Dogonadze
1368
Detonation of nitromethane near the limit
A. N. Dremin, G. A. Adadurov, O. K. Rozanov
1372
The mechanism underlying the action of modifying admixtures on the selectivity of zinc oxide towards the dehydrogenation and dehydration of isopropyl alcohol
G. M. Zhabrova, V. I. Vladimirova, O. M. Vinogradova
1375
Capillary rise of a liquid in porous media and capillary hysteresis
D. N. Nekrasov, M. M. Kusakov
1379
The influence of $\beta$-radiation from $\mathrm{S}^{35}$ on the isotopic exchange of oxygen in the $\mathrm{Na}_2\mathrm{SO}_4^{16}$$\mathrm{O}_2^{18}$ system
V. I. Spitsyn, V. G. Finikov
1381
Mobility of modifying admixtures in silver
Yu. N. Stepanov, L. Ya. Margolis, S. Z. Roginskii
1384
The thermodynamic properties of silane chloroderivatives in solution
M. I. Shakhparonov, S. L. Lel'chuk, K. M. Korchemskaya
1388


I. A. Kakovskii, N. G. Tyurin
1270

I. A. Kakovskii, A. N. Grebnev
1270

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 Dokl. Akad. Nauk, Volume 345 (1995)

 Dokl. Akad. Nauk, Volume 346 (1996)

 Dokl. Akad. Nauk, Volume 347 (1996)

 Dokl. Akad. Nauk, Volume 348 (1996)

 Dokl. Akad. Nauk, Volume 349 (1996)

 Dokl. Akad. Nauk, Volume 350 (1996)

 Dokl. Akad. Nauk, Volume 351 (1996)

 Dokl. Akad. Nauk, Volume 352 (1997)

 Dokl. Akad. Nauk, Volume 353 (1997)

 Dokl. Akad. Nauk, Volume 354 (1997)

 
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