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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)

Number 1
MATHEMATICS
Bicompact sets and the topology of spaces
A. Arkhangel'skii
9
Spectral properties of operators generated by systems of differential equations of higher order and of Sobolev type
G. V. Virabyan
13
On mean periodic functions
V. D. Golovin
17
On the existence of an absolute minimum in a problem in the theory of optimal processes
V. N. Kalinin
21
A modified $\mathrm{T}_1$ problem for the equation $u_{xx}+\operatorname{sign}yn u_{yy}=0$
G. Karatoprakliev
23
On the analytic theory of tests for the Behrens–Fisher problem
Yu. V. Linnik, O. V. Shalaevskii
26
On the system of Prandtl equations in boundary-layer theory
O. A. Oleinik
28
Deficiencies of meromorphic functions of order less than one
I. V. Ostrovskii
32
On a universal bicompactum of weight $\aleph$
I. I. Parovichenko
36
On a generalization of topological products
B. Pasynkov
40
On reduced free multi-operator groups
D. M. Smirnov
44
On linear elliptic systems of first order
M. Z. Solomyak
48
On the metrization theorem of P. S. Urysohn
A. F. Timan
52
$R$-nets with fibering congruences of the axes
G. B. Khasin
54
Boundary-value problems for parabolic systems in regions of general type
S. D. Èidel'man, B. Ya. Lipko
58

ASTRONOMY
The theory of nebular forbidden lines associated with magnetic multipole transitions
Ya. I. Vizbaraite, Z. B. Rudzikas, A. P. Yucis
62
The deflection of light rays in the gravitational fields of galaxies as turned to account in extragalactic astronomy
Yu. G. Klimov
64
Continuous production of stars in $\mathrm{O}$-associations
L. V. Mirzoyan
68

PHYSICS
The influence of pressure on the infrared absorption spectrum of benzene
Yu. A. Klyuev, B. Oksengorn
71
Degradation of stellar and cosmic neutrinos
V. M. Kharitonov
75

GEOPHYSICS
A stationary axially symmetrical model of a cumulus cloud
L. N. Gutman
81

CRYSTALLOGRAPHY
The decoration of a growing crystal surface
E. I. Givargizov, N. N. Sheftal'
85

CHEMISTRY
Stability and spectroscopic properties of the intermediate products formed in the nitration of certain 2,3-di-substituted indones
B. V. Aleksiev, Ch. P. Ivanov, Iv. N. Iukhnovski
89
Unsaturated derivatives of the cyclotrisilazane and their structure
K. A. Andrianov, Ionel Khaiduk, L. M. Khananashvili
93
An investigation of the niobium–beryllium system
P. M. Arzhanyi, R. M. Volkova, D. A. Prokoshkin
96
The analysis of diamines and their mixtures by titration in non-aqueous solutions
A. P. Kreshkov, L. N. Bykova, I. D. Pevzner
99
Ferrocene azides
A. N. Nesmeyanov, V. N. Drozd, V. A. Sazonova
102
The synthesis and certain properties of the lower aqua compounds of yttrium, lanthanum and lanthanoid perrhenates
V. E. Plyushchev, V. M. Amosov, M. B. Varfolomeev
105

PHYSICAL CHEMISTRY
The benzene oxidation mechanism investigated by means of isotopes and mass-spectrometry
I. P. Gragerov, A. F. Levit, Yu. A. Zonov, M. Ya. Turkina
109
Iteration chromatography
A. A. Zhukhovitskii, N. M. Turkel'taub
113
The polarity of the medium as influencing the activation energy of the chain continuation reaction in the oxidation of ethyl alcohol and methyldiethylketone
G. E. Zaikov, Z. K. Maizus
116
Proton affinity, acidity and basicity of non-aqueous solvents
N. A. Izmailov
120
The elementary stages in the recombination of hydrogen atoms on aluminium surface. The activation energy of the reaction
V. A. Lavrenko, I. N. Frantsevich
124
Hydrogen overvoltage on gallium as influenced by the double electric layer and by the $\mathrm{pH}$ of the solution
K. Sabo, I. A. Bagotskaya
128

Number 2

MATHEMATICS
Solution of convex programming problems with linear constraints by the method of successive refinement of the permissible vector
V. A. Bulavskii, G. Sh. Rubinshtein
231
Left ideals of the semigroup of endomorphisms of a free universal algebra
I. I. Valutsè
235
Optimal choice of the stopping moment of a Markov process
E. B. Dynkin
238
Optimal control in a Banach space
Yu. V. Egorov
241
The representation of the transfer function of a machine by associative operations
V. P. Zarovnyi
245
Strong degeneracy of simple Lie $p$-algebras
A. I. Kostrikin
248
An upper bound for certain number-theoretic functions in algebraic number fields
D. N. Lenskoi
251
On the Wald test
Yu. V. Linnik
254
On integral inequalities for equations of Volterra type with retarded argument
A. I. Logunov
256
Special structure spaces of rings
A. V. Mikhalev
259
Divergence of Fourier series of continuous functions under the rearrangement of a trigonometric system
L. V. Taikov
262
A constructive characterization of certain classes of continuous functions prescribed on a separable metric space
A. F. Timan
266
On the stability of systems of linear integral equations of Volterra type
Z. B. Tsalyuk
268
Two theorems on error estimation and some of their applications
Yu. I. Cherskii
271

PHYSICS
Semiconducting quantum generator with the $p$$n$ transition in $\mathrm{GaAs}$
V. S. Bagaev, N. G. Basov, B. M. Vul, B. D. Kopylovsky, O. N. Krokhin, E. P. Markin, Yu. M. Popov, A. N. Khvoshchev, A. P. Shotov
275
An investigation of the properties of rapidly moving plasmoids
V. F. Demichev, V. D. Matyukhin
279
A contribution to the theory of ignition
Ya. B. Zel'dovich
283
Theory of low-temperature transfer phenomena in semiconductors with slight mobility
M. I. Klinger
286
Kinetic equation of monomolecular adsorption layer
B. V. Filippov
290

GEOPHYSICS
Experimental estimation of the influence which gravitational convection and lining tubes have on the natural distribution of temperature in drill holes
N. M. Frolov
301

CHEMISTRY
On the stability of complex platinous compounds. Monoamine and triamine types of compounds
A. A. Grinberg, M. I. Gel'fman
305
Oxidative destruction of polyformaldehyde
L. A. Dudina, L. V. Karmilova, N. S. Enikolopyan
309
Formation of $\mathrm{Ti}_6\mathrm{O}$ and $\mathrm{Ti}_3\mathrm{O}$ compounds in the titanium–oxygen system
I. I. Kornilov, V. V. Glazova
313
The composition and properties of vanadyl vanadates investigated by spectrophotometry
V. A. Mirkin, M. T. Kozlovskii
317
Azids of ferrocene
A. N. Nesmeyanov, V. N. Drozd, V. A. Sazonova
321
Reactions of methyltitaniumtrichloride with metallic mercury and mercuric chloride
G. A. Razuvaev, L. M. Bobinova
325
Electron spin resonance spectra of products obtained from high-temperature interaction of $\mathrm{CrO}_3$ with $\mathrm{K}_2\mathrm{Cr}_2\mathrm{O}_7$, $\mathrm{K}_2\mathrm{Cr}\mathrm{O}_4$, $\mathrm{K}_2\mathrm{CO}_3$, $\mathrm{KCl}$ and $\mathrm{KOH}$
A. A. Slinkin, È. A. Fedorovskaya
328

PHYSICAL CHEMISTRY
The influence of microscopic structures on the mechanical behaviour of crystalline polypropylene
G. P. Andrianova, N. F. Bakeev, V. A. Kargin
331
Kinetics of some electrochemical redoxy reactions on semiconductors
R. R. Dogonadze, Yu. A. Chizmadzhev
333
Spin density distribution in aromatic metal ketyls
I. D. Morozova, M. E. Dyatkina
337
The mechanism by which excited formaldehyde molecules are formed in oxidation reactions
L. M. Postnikov, V. Ya. Shlyapintokh
340
The spectral distribution of the photopotential in phthalocyanin and chlorophyll layers at the site of contact with the electrolyte
E. K. Putseiko
343
The influence of the electrolytes nature on the electrocapillary curves oi lead in salt melts
E. A. Ukshe, I. V. Tomskikh
347
The nature of platinum electrode potentials arising in ethanol solutions
A. N. Frumkin, B. I. Podlovchenko
349
Tin monoxide activityin $\mathrm{SnO}$$\mathrm{SiO}_2$ melts as determined by the emf method
D. M. Chizhikov, M. E. Volkova, Yu. V. Tsvetkov
353
Change of birefringence sign following deformation in vitreous polymers
T. V. Shamraevskaya, N. A. Shchegolevskaya, S. I. Sokolov
356


D. N. Shigorin, N. N. Shapetko, A. P. Skoldinov, T. S. Ryabchikova
230

Number 3

MATHEMATICS
On methods of refinement using higher-order differences and $h^2$-extrapolations
E. A. Volkov
455
Factor-spaces of the idele group of an algebraic group and cohomologies of bundles
V. E. Voskresenskii
459
On the stability of periodic solutions arising from a state of equilibrium
M. A. Krasnosel'skii
463
Solvability of Lie algebras with a regular automorphism of finite period
V. A. Kreknin
467
Some properties of solutions of elliptic equations
S. N. Kruzhkov
470
Determination of the Sturm–Liouville differential equation by two spectra
B. M. Levitan
474
On the inversion complexity of a system of Boolean functions
A. Markov
477
Fundamental matrices of solutions of parabolic and elliptic systems whose coefficients satisfy an integral Hölder condition
M. I. Matiichuk
480
A representation theorem for a class of differentiable functions of several variables in terms of entire functions of exponential type
S. M. Nikol'skii
484
On $\omega$-mappings and inverse spectra
B. Pasynkov
488
Some well-posed problems for the equation $y^mu_{xxx}+y_{xyy}=0$
M. S. Salakhitdinov
492
The complexity of a scheme of functional elements simulating the multiplication of integers
A. L. Toom
496

ASTRONOMY
The possibility of detecting and studying remote radiation belts by the methods of radioastronomy
A. A. Korchak
499

MATHEMATICAL PHYSICS
An asymptotic method in the theory of plasma stability
A. A. Galeev
503

PHYSICS
The properties of an optical quantum generator having four levels
Yu. A. Anan'ev, V. P. Gribkovskiĭ, A. A. Mak, B. I. Stepanov
507
The electrophotographic isoopacity curve of single $\mathrm{AgCl}$ crystals
V. I. Bugrienko, V. M. Fridkin
511
Shear waves of finite amplitude in polycrystals and single crystals of metals
A. A. Gedroits, L. K. Zarembo, V. A. Krasil'nikov
515
On the nature of Gudden–Pohl's effect
A. G. Gol'dman, A. I. Proskura
519
Interaction of high-density plasmoids with magnetic fields
V. F. Demichev, V. M. Strunnikov
523
Quasiclassical asymptotic of Dirac's equation
V. A. Dubrovskii
527
Suydam instability for the case of a finite Larmor ion radius
L. V. Mikhailovskaya, A. B. Mikhailovskii
531
Light scattering by molecules and the lifetime of the excited state
P. P. Shorygin, T. M. Ivanova
533

CHEMISTRY
The mechanism by which free radicals formed from the inhibitors of radical processes interact with the $\mathrm{SH}$-groups of proteins
A. I. Agatova, L. S. Vartanyan, N. M. Emanuel'
547
A method for the production of $\mathrm{N}$-substituted $\beta$-lactams
N. P. Zapevalova, T. A. Sokolova, N. M. Bazhenov, A. I. Kol'tsov
551
Infrared spectra of o-oxycarbonyl compounds in the aromatic series
L. A. Kazitsyna, V. V. Mishchenko
555
The synthesis of tetrapeptides without liberation of intermediate peptides
D. G. Knorre, T. N. Shubina
559
Catalytic reactions by which 1,1-dimethylsilicacyclopentane is formed
N. S. Nametkin, V. M. Vdovin, K. S. Pushchevaya
562
New phenyl derivatives of titanium
G. A. Razuvaev, V. N. Latyaeva, A. V. Malysheva, G. A. Kilyakova
566

PHYSICAL CHEMISTRY
An investigation of the reaction involving a homomolecular exchange of oxygen between $\mathrm{ZnO}$ and $\mathrm{NiO}$ at room temperature
G. K. Boreskov, V. I. Gorgoraki, L. A. Kasatkina
570
The rheology of polymers. A temperature invariant characteristic of anomalously viscous systems
G. V. Vinogradov, A. Ya. Malkin, N. V. Prozorovskaya, V. A. Kargin
574
Catalytic waves in molten electrolytes
A. V. Gorodyskii, Yu. K. Delimarskii, V. F. Grishchenko
578
Change of molecular weight in the oxidative destruction of polyformaldehyde
L. A. Dudina, Al. Al. Berlin, L. V. Karmilova, N. S. Enikolopyan
580
Change of the infrared spectrum of $\mathrm{X}$ ceolites in response to their thermal treatment in vacuo
S. P. Zhdanov, A. V. Kiselev, V. I. Lygin, T. I. Titova
584
The spin-lattice interaction in magnetically diluted free radicals
A. V. Il'yasov, N. S. Garif'yanov, R. Kh. Timerov
588
Elementary stages of the recombination of hydrogen atoms on aluminium surface. The heat on adsorption of atoms
V. A. Lavrenko, I. N. Frantsevich
592
On the theory of porous gas electrode. The computation of effective coefficients
V. S. Markin, Yu. A. Chizmadzhev, Yu. G. Chirkov
596
Theory of the electrochemical diode
R. Sh. Nigmatullin
600
Ion-exchange and electrochemical properties of sulfocationites in solutions of some 1-1 charge electrolytes
O. K. Stefanova, E. A. Materova, B. P. Nikol'skii
604
A complex investigation of the crystallization process of polychloroprene rubber – nyrite
B. Ya. Teitel'baum, T. A. Yagfarova, N. P. Anoshina, V. A. Naumov
608


N. N. Chentsov
454

Number 4

MATHEMATICS
Conformal mappings of multiply connected domains onto multivalent canonical surfaces
Yu. E. Alenitsyn
711
Linear structures with a sufficient set of maximal $l$-ideals
A. I. Veksler
715
Identity transformations in a four-valued logic
V. V. Vishin
719
A uniqueness theorem for Dirichlet series
G. M. Gashimov
722
On the spectrum of a non-selfadjoint differential operator of even order
M. M. Gekhtman
726
Riemannian spaces of the first three lacunary types in the geometric sense
I. P. Egorov
730
On Robbins's scheme
A. M. Kagan
733
The functional space $K^m_\Lambda(\Omega)$. Some applications to boundary-value theory
D. F. Kalinichenko
736
Infinite-dimensional unitary representations of a second-order matrix group with elements in a locally compact field
A. A. Kirillov
740
An estimate of the number of monotone functions of an algebra of logic and the complexity of the algorithm of finding the resolvent set for an aribitrary function of the algebra
V. K. Korobkov
744
A priori bounds for generalized solutions of second-order elliptic and parabolic equations
S. N. Kruzhkov
748
The analytic continuation of the scalar product of the Hecke series of two quadratic fields and its application
B. Z. Moroz
752

CYBERNETICS AND THE REGULATION THEORY
Finite $p$-adic automata
A. G. Lunts
755

MECHANICS
A case of integration of the equations of motion of a heavy rigid body having its cavities filled with a liquid
P. V. Kharlamov
759

THEORY OF ELASTICITY
On the linear theory of three-layer shells with a rigid filler
È. I. Grigolyuk, P. P. Chulkov
761

PHYSICS
Regge poles and the Bethe–Salpeter equation
B. A. Arbuzov, A. A. Logunov, A. N. Tavkhelidze, R. N. Faustov
764
Radiation from a particle flying past a wedge-shaped metal screen
I. A. Gilinskii
767
Triplet level energy migration in benzophenone crystals
V. M. Korsunskii, A. N. Faidysh
771
The influence of “drift” waves on the diffusion of plasma in a magnetic field
V. N. Oraevskii, R. Z. Sagdeev
775
On the dielectric properties of a polycrystalline solid solution of $\mathrm{Ba}(\mathrm{Ti},\mathrm{Sn})\mathrm{O}_3$ at high pressures
I. N. Polandov
779
The paramagnetic component of the magnetic susceptibility of semiconducting crystals from experiment data on the distribution of electron density
N. N. Sirota
781

GEOPHYSICS
Vertical motions in storm clouds
N. Z. Pinus
788

CRYSTALLOGRAPHY
Low-temperature hexagonal modification of $\mathrm{NaYF}_4$ having the gagarinite structure
B. P. Sobolev, D. A. Mineev, V. P. Pashutin
791

CHEMISTRY
Local activation of compounds with a conjugation system in reactions involving the inhibition of oxidative processes
A. A. Berlin, S. I. Bass
795
Silicacyclobutanes, the synthesis of 1,1-substituted silicacyclobutanes
V. M. Vdovin, N. S. Nametkin, P. L. Grinberg
799
Some pentavalent molybdenum solutions investigated by the electron spin resonance method
N. S. Garif'yanov, N. S. Kucheryavenko, V. N. Fedotov
802
Anew modification of cisplatodiglycin
A. A. Grinberg, E. N. In'kova, Yu. S. Varshavskii
805
The primary radical products of polyvinyl alcohol radiolysis, as investigated by means of electron spin resonance
A. D. Grishina
809
Siloxane polymers with phenylene links in the main chain
S. B. Dolgoplosk, A. L. Klebanskij, L. P. Fomina, V. S. Fikhtengol'ts, E. Yu. Shvarts
813
Hafnates of lanthanum and neodymium
L. N. Komissarova, Vikt. I. Spitsyn, Wang Gen-shi
816
The mechanism of eerie nitrate extraction from nitrate solutions by tributylphosphate
A. V. Nikolaev, A. I. Ryabinin, Yu. A. Afanas'ev
820
New nitrogen and oxy containing polymeres with conjugate bonds synthesized from sodium carbonate and ammonium chloride
Ya. M. Paushkin, A. F. Lunin
823

PHYSICAL CHEMISTRY
The rate of thermal decomposition of potassium permanganate as influenced by a preliminary treatment with protons
V. V. Boldyrev, A. N. Oblivantsev
826
The catalytic activity and electron spin resonance spectra of molybdenum oxide catalysts for the polymerization of ethylene
G. K. Boreskov, V. A. Dzis'ko, V. M. Emel'yanova, Yu. I. Pecherskaya, V. B. Kazanskii
829
Intermolecular structure and certain electrophysical properties of polyvinyl alcohol
A. Ya. Gel'fman, D. S. Bidnaya, M. G. Buravleva, R. G. Luzan
833
The mechanism of mass transfer in a liquid–liquid heterogeneous system when stirred
L. Ya. Kremnev, A. A. Abramson, Yu. L. Kianovskaia
836
Breakdown of carbon dioxide molecules at high temperature
S. A. Losev, N. A. Generalov, V. A. Maksimenko
839
Permeability of ionite membranes to ordinary water and to heavy water
V. P. Meleshko, O. N. Myagkoi
842
The kinetics of $\delta$-valerolactam hydrolysis and the alcalinity function of aqueous solutions of $\mathrm{LiOH}$, $\mathrm{NaOH}$, $\mathrm{CsOH}$
Yu. V. Moiseev, M. I. Vinnik
845
The role of fatigue processes in the wear of polymeric materials
S. B. Ratner
848
The influence of a. c. frequency on the rate of corrosion of titanium in sulphuric acid
N. D. Tomashov, N. M. Strukov, Yu. N. Mikhailovskii
852
The mechanism of carbon monoxide adsorption and conversion in the liquid phase
A. B. Fasman, G. L. Padyukova, D. V. Sokol'skii
856
The dependence of certain physical properties on the composition of polymerization products in a ternary system of vinyl monomers
T. V. Shamraevskaya, N. A. Shchegolevskaya, S. I. Sokolov
859
$\mathrm{H}$-Bonds in excited electronic states of molecules with $\pi$-electrons
D. N. Shigorin, N. A. Shcheglova, A. K. Piskunov, G. A. Ozerova, N. S. Dokunikhin
862

Number 5

MATHEMATICS
Canonical transformations in the second quantization representation
F. A. Berezin
959
Extension of functions with preservation of differential-difference properties in $L_p$
O. V. Besov
963
Some remarks on the solutions of certain non-linear differential equations
Wang Sheng-wang
967
Analytic properties of the spectral function of the self-adjoint Sturm–Liouville operator
M. G. Gasymov
971
On inequalities between norms of partial derivatives of functions of several variables
V. P. Il'in
975
Polynomials of best (quadratic) approximation at a given system of points
M. D. Kalashnikov, G. P. Gubanov
978
Closed-graph theorems for uniform spaces
V. L. Levin, D. A. Raikov
981
Characteristics of boundary values of functions of $L^r_p(E_n)$ on hyperplanes
P. I. Lizorkin
984
Inversion formulas in the class of unbounded functions, arising in a second-order boundary-value problem
V. È. Lyantse
987
The first boundary-value problem for quasi-linear diffusion systems
V. N. Maslennikova
991
Congruent and asymptotic differentiability
G. Kh. Sindalovskii
995
Remainder terms in the problem of the distribution of values of two number-theoretic functions
M. M. Tyan
998
An estimate of the accuracy of approximate eigenvalues and vectors
V. T. Kharin
1001
An asymptotic solution of a system of linear differential equations containing a parameter
N. I. Shkil'
1005
The immersion problem for fields
A. V. Yakovlev
1009

THEORY OF ELASTICITY
On the general theory of three-layer shells with a big deflection
È. I. Grigolyuk, P. P. Chulkov
1012

PHYSICS
A generalized self-consistent field method and collective excitations in the superconductivity theory
E. R. Velibekov
1015
Propagation of light outside and inside a singular Schwarzschild sphere
I. D. Novikov, L. M. Ozernoi
1019
Raman spectra of some compounds when in the state of adsorption
E. V. Pershina, Sh. Sh. Raskin
1022
The measurement of the electric resistance of $\mathrm{PbTe}$, $\mathrm{CdTe}$, $\mathrm{Bi}_2\mathrm{Te}_3$ at pressures of up to 200,000 kG/cm$^2$
A. A. Semerchan, L. F. Vereshchagin, N. N. Kuzin, L. N. Drozdova
1026

CHEMISTRY
Substitution of ammonia with nitrite ions when optically active cis-$[\mathrm{Co}(\mathrm{NH}_3)_2\mathrm{en}_2](\mathrm{NO}_2)_3$ is heated in crystal state
A. V. Ablov, T. A. Mal'kova
1032
Nuclear magnetic resonance spectra of protons and the conformation of $\Delta^3$-carene oxide
B. A. Arbuzov, Yu. Yu. Samitov, Z. G. Isaeva
1036
The synthesis and properties of rhodium phthalocyanine
B. D. Berezin
1039
Certain transformation reactions of silicon- containing vinylacetylene glycols
I. M. Gverdtsiteli, T. P. Doksopulo
1043
The possibility of directing the course of the mineral formation process in the $\mathrm{CaO}$$\mathrm{Al}_2\mathrm{O}_3$$\mathrm{SiO}_2$ system
S. D. Okorokov, S. L. Golynko-Volfson, T. N. Yarkina
1047
The nature of the bond between carbon and alkali metal as investigated by means of electron absorption spectra
D. K. Polyakov, Yu. L. Spirin, A. R. Gantmakher, S. S. Medvedev
1051
Telomerization of aliyl compounds by silicon hydrides in the presence of dicyclohexylperoxydicarbonate
R. Kh. Freidlina, E. Ts. Chukovskaya
1055
Clasters in a strongly alloyed silicon
M. S. Chupakhin, G. G. Glavin, V. I. Fistul
1059

PHYSICAL CHEMISTRY
Certain features of the vibration spectra of conjugated dienes and the influence of the diene configuration on the interaction of double bonds
V. T. Aleksanyan, E. V. Sobolev
1062
Liquid phase oxidation of isobutylene in the presence of heterogeneous catalysts
È. A. Blyumberg, M. G. Bulygin, L. Ya. Margolis, N. M. Emanuel'
1066
Ghemiluminecence and the reaction mechanism in the catalyzed breakdown of ethylbenzene hydroperoxide
I. V. Zakharov, V. Ya. Shlyapintokh
1069
Autocatalysis in polymerisation reactions
V. A. Kabanov, V. A. Kargin
1073
The mechanism of radiolytic oxidation of divalent iron in aqueous sulphate solutions containing oxygen when the absorbed dose is high
A. K. Pikaev, P. Ya. Glazunov, Vikt. I. Spitsyn
1077
Diffusion coefficients in secondary pores of granulated ceolites
A. S. Ponomarev, D. P. Timofeev
1081
The influence of temperature on the resistance of polymeric materials to wear. The role of forced elasticity
S. B. Ratner
1084
Fixation of porosity of condensation networks from synthetic polymers
G. M. Sinitsyna, I. N. Vlodavets, P. A. Rebinder
1087
The kinetics of crystal nuclei formation in vitreous selenium
S. V. Starodubtsev, T. S. Pugacheva, V. M. Mikhaelian, V. M. Lenchenko
1091
The form of ferric ions in molten silicates
S. K. Chuchmarev, O. A. Esin, È. A. Pastukhov
1094


V. I. Arnol'd, Ya. G. Sinai
958

Number 6

MATHEMATICS
On the continuation of functions
Ya. S. Bugrov
1191
The approximation of unbounded functions by modified Landau and Bernstein polynomials over the entire plane
Z. H. Van
1195
Differentiability of the Nemyckii operator
Wang Sheng-wang
1198
On the sum of the differences of the eigenvalues of two self-adjoint operators
M. G. Gasymov
1202
The impossibility in Euclidean $3$-space of a complete regular surface with a negative upper bound of the Gaussian curvature
N. V. Efimov
1206
On the linear Verigin problem
L. I. Kamynin
1210
The Weierstrass theorem in spaces of infinitely differentiable functions
B. I. Korenblum
1214
The exact value of best approximations and widths of certain classes of functions
N. P. Korneichuk
1218
The Dirichlet problem for elliptic equations of arbitrary order in unbounded regions
V. G. Maz'ya
1221
The continuity of the Radon integral as a function of the parameter
I. P. Natanson
1225
On the algebraic theory of elliptic systems of first-order equations
Yu. L. Rodin
1228
Two types of discontinuity of trajectories of a Markov process
L. V. Seregin
1232
Spectral properties of ergodic dynamical systems
Ya. G. Sinai
1235
A method of calculating coefficients for mechanical cubature formulae
S. L. Sobolev
1238

FLUID MECHANICS
On two pasting problems
A. B. Shabat
1242

ASTRONOMY
On a possible mechanism of chromospheric flare emission
È. E. Dubov
1246

MATHEMATICAL PHYSICS
Approximate method for solving a certain kind of system of linear singular integral equations
Kim Ze Pkhen
1249

PHYSICS
On the anomalous Dember effect
È. I. Adirovich
1252
The observed and the true absorption spectrum of liquid $\mathrm{CHCl}_3$ and $\mathrm{CCl}_4$ within 740–810 cm$^{-1}$ range
N. G. Bakhshiev, O. P. Girin, V. S. Libov
1256
The fine structure of X-ray adsorption $K$-spectra of scandium in metal and in solid high-melting compounds
E. A. Zhurakovskiy, V. P. Dzeganovsky
1260
Force function for the $\mathrm{Ni}^{62}$, $\mathrm{Se}^{80}$, $\mathrm{Cd}^{114}$ and $\mathrm{Sn}^{118}$ isotopes in the region of 50–400 kev neutrons
E. A. Koltypin, G. B. Yan'kov
1263
Observation of the spin induction in electron spin resonance
N. V. Kravtsov, V. N. Lazukin, N. V. Chekalin
1267

GEOPHYSICS
The influence of friction on ocean currents
A. M. Il'in, V. M. Kamenkovich
1274

CHEMISTRY
X-ray and spectral enquiry into complex compounds of cuprous rhodanide with thiourea and pyridine
A. L. Dorosinsky, O. V. Kolninov, Z. V. Zvonkova, G. S. Zhdanov
1278
On the radical mechanism underlying the solidification of resole resins
L. A. Igonin, K. I. Turchaninova
1280
Elementary reactions of molecular fluorine
G. A. Kapralova, L. Yu. Rusin, A. M. Chaikin, A. E. Shilov
1282
The construction of the DCB system of tetracyclones
M. N. Kolosov, S. A. Popravko, M. M. Shemyakin
1285
Oligosides, a new type of vegetable glycosides
N. K. Kochetkov, A. Ya. Khorlin
1289

PHYSICAL CHEMISTRY
Dehydration of low-molecular fatty asids by using the adsorptive power of porous glass molecular sieves
T. M. Burkat, D. P. Dobychin, S. P. Zhdanov
1293
Adhesion between polymers as influenced by their physical state
S. S. Voyutskii, V. G. Raevsky, S. M. Yagnyatinskaya
1296
The normal flame velocity when, pure acetylene is decomposing
B. A. Ivanov, S. M. Kogarko
1300
The influence of pressure on the rate of the processes taking place in the reaction layer of the condensed phase of burning powder
A. D. Margolin, P. F. Pokhil
1304
Mutarotation and structure formation in gelatine solutions
V. A. Pchelin, V. N. Izmailova, V. P. Merzlov
1307
An investigation of the intermolecular electron transfer in tetrapyrrole pigments under pulsed illumination
P. A. Shakhverdov, A. N. Terenin
1311


E. N. Rengevich, V. I. Staninets, E. A. Shilov
1190

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