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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)

 Dokl. Akad. Nauk SSSR, Volume 162 (1965)

 Dokl. Akad. Nauk SSSR, Volume 163 (1965)

 Dokl. Akad. Nauk SSSR, Volume 164 (1965)

Dokl. Akad. Nauk SSSR, Volume 165 (1965)

Number 1
MATHEMATICS
On a class of scattering operators and characteristic operator-functions of contractions
V. M. Adamyan, D. Z. Arov
9
Primary ideals in noncommutative rings
V. A. Andrunakievich, Yu. M. Ryabukhin
13
On Taylor–Dirichlet series
B. S. Bronstein
17
On certain limit properties of orthogonal polynomials
Ya. L. Geronimus
19
On the elementary theory of maximal normed fields
Yu. L. Ershov
21
A priori estimates and solvability of general boundary problems for general elliptic systems with discontinuous coefficients
N. V. Zhitarashu
24
Free $T$-sums of multioperator skew fields
I. S. Ivanov
28
On estimation of the number of solutions of certain equations
A. A. Karatsuba
31
Uniqueness and existence theorems and a priori properties of generalized solutions
V. I. Plotnikov
33
Eigenfunctions of the equation $\Delta u+\lambda f(u)=0$
S. I. Pokhozhaev
36
Representation of periodic analytic functions by a sum of squares
S. L. Sobolev
40
Generalized extensions of unbounded operators
È. R. Tsekanovskii
44

CYBERNETICS AND THE REGULATION THEORY
Multipoles containing the closing contacts of internal relays
A. G. Lunts
47
Criterion for absolute stability of multiply connected sampled-data systems with nonstationary characteristics of the nonlinear elements
Ya. Z. Tsypkin, M. S. Epel'man
51

ASTRONOMY
On the inapplicability of Bolduin's correlation to the determination of the causes of formation of lunar craters
H. S. Shteinberg
55

PHYSICS
The propagation velocity of a powerful light pulse in inversely populated medium
N. G. Basov, R. V. Ambartsumyan, V. S. Zuev, P. G. Kryukov, V. S. Letokhov
58
An electromagnetic lens with double focusing used to obtain electron diffraction micropatterns
Yu. M. Vorona, V. N. Vertsner
61
Astrophysical phenomena and radiocarbon
B. P. Konstantinov, G. E. Kocharov
63
Magnetic cumulation
A. D. Sakharov, R. Z. Lyudaev, E. N. Smirnov, Yu. I. Plyushchev, A. I. Pavlovskiĭ, V. K. Chernyshev, E. A. Feoktistova, E. I. Zharinov, Yu. A. Zysin
65
On Borchers' class of the interacting fields
D. A. Slavnov, A. D. Sukhanov
69
Inductance of superconducting solenoid
V. V. Sychev, V. B. Zenkevich, V. V. Andrianov
73

CRYSTALLOGRAPHY
The crystal structure of the simplest silicates of $\mathrm{La}$ and $\mathrm{Sm}$
È. A. Kuz'min, N. V. Belov
88

CHEMISTRY
Organophosphorus compounds of low toxicity
B. A. Arbuzov, A. O. Vizel', I. V. Zaikonnikova, I. A. Studentsova, V. G. Dunaev, M. A. Zvereva, K. M. Ivanovskaya
91
Butadiene polymerization by catalysts based on carbonyls of Vlll-group metals
B. D. Babitskii, V. A. Kormer, I. M. Lapuk
95
Investigations into the catalytic synthesis of piperazine
A. A. Balandin, E. I. Karpeiskaya, V. A. Ferapontov, A. A. Tolstopyatova
99
Reaction mechanism of free radicals' decay in polymethylmethacrylate
P. Yu. Butyagin
103
Addition of molecular nitrogen to perchlorohydrocarbons under ionizing radiation
I. V. Vereshchinskii, A. T. Podkhaliuzin
107
An investigation of the products of interaction between polypropylene and alkaline sulphate lignin
V. E. Gul', E. G. Lyubeshkina
110
The reaction of the hexamethyldisilazane with phenylisocyanate and phenylisothiocyanate
D. Ya. Zhinkin, M. M. Morgunova, K. A. Andrianov
114
Extraction of intracomplex compounds of chemical elements with 1-phenyl-3-metbyl- 4-benzoylpyrazolone-5
Yu. A. Zolotov, V. G. Lambrev, M. K. Chmutova, N. T. Sizonenko
117
Investigations into the synthesis of lipoid compounds
A. V. Luk'yanov, A. I. Lyutik, V. I. Shvets, N. A. Preobrazhenskii
121
Mass spectra of some monocyclopentadienyl derivatives of titanium
A. N. Nesmeyanov, V. A. Dubovitskii, O. V. Nogina, V. N. Bochkarev
125
$\alpha$-Nitrosohexafluoroisobutiric acid
Yu. A. Cheburkov, N. Mukhamadaliev, I. L. Knuniants
127
Chemical fixation of molecular nitrogen by aqueous solutions of transition metal compounds
K. B. Yatsimirskii, V. K. Pavlova
130

PHYSICAL CHEMISTRY
Determination of the efficiency of weak inhibitors in viscous media
G. P. Gladyshev, S. R. Rafikov, N. V. Churbakova
133
Corrosion behaviour of titanium–oxygen alloys in sulfuric acid solutions
V. V. Glazova, I. I. Kornilov, V. N. Modestova, N. D. Tomashov
136
Ion exchange thermodynamics under isopiestic condition
A. N. Kirgintsev, E. D. Abramovich
140
The limit of chain-thermal explosion
L. M. Pismen, V. G. Levich
144
The possibility of equilibrium disturbance in a heterogeneous system containing a microcomponent because of solid phase recrystallization
Vikt. I. Spitsyn, N. B. Mikheev, A. Khermann, A. B. Malinin
147
Phase diagram of collagen and the interpretation of the heat of order-disorder transition in water
S. Ya. Frenkel', L. V. Kukhareva, B. M. Ginzburg, V. I. Vorob'ev
149


V. A. Efremovich, V. I. Pupko
8

Number 2

MATHEMATICS
On periodic solutions of non-autonomous systems
P. G. Aizengendler, M. M. Vainberg
255
Power and construction of the structure of all compact extensions of a completely regular space
J. Wisliceny, J. Flachsmeyer
258
On the decomposition in a series of eigenfunctions for a nonselfconjugate boundary value problem of the solution of a differential equation with a singularity at a zero point
M. G. Gasymov
261
Nonlinear spinor functions
A. N. Golubyatnikov
265
Reduction method for systems of equations of Wiener–Hopf type
I. Ts. Gokhberg, I. A. Fel'dman
268
On convergence of lacunary trigonometrical series on sets
V. F. Emel'yanov
272
Congruence systems and equations of Waring type
A. A. Karatsuba
274
On duality principles for the problem of periodic solutions of higher order differential equations
E. A. Livshitz
277
On almost periodic solutions of nonlinear systems
V. M. Cheresiz
281

CYBERNETICS AND THE REGULATION THEORY
Construction of inverse operators in automatic control theory
E. A. Lyuban
285

MECHANICS
Effective transformation and asymptotic representation of one class of nonlinear differential equations
V. V. Laricheva
289

AERODYNAMICS
The structure of solutions to a chain of equations in the kinetic theory of gases
V. V. Struminskii
293

PHYSICS
X-Ray study of the compressibility of hexagonal selenium up to 25 kilobars
L. F. Vereshchagin, S. S. Kabalkina, B. M. Shulenin
297
Acoustic behaviour of strongly viscous fluids and the fluid theory
M. A. Isakovich, I. A. Chaban
299
Generation of coherent radiation in gallium arsenide specimens upon electronic excitation
L. N. Kurbatov, A. N. Kabanov, V. V. Sigriyanskii, V. E. Mashchenko, N. N. Mochalkin, A. I. Sharin, N. V. Soroko-Novitskii
303
The $S$ matrix in the Heisenberg representation
B. V. Medvedev, A. D. Sukhanov
305
The effect of surface charges on the light variation of the semiconductor contact potential difference
A. M. Meshkov, I. A. Akimov
309
Determination of the critical temperature of a superconductor with a paramagnetic impurity in a two-zone model
V. A. Moskalenko
313

GEOPHYSICS
Earthquake at Kamen on the Ob on the 15th of February 1965
N. D. Zhalkovskii, G. M. Tsybul'chik, N. V. Shebalin
327

CRYSTALLOGRAPHY
A direct method of studying the electric microrelief of crystal surfaces
G. I. Distler, Yu. M. Gerasimov, N. M. Borisova
329

CHEMISTRY
Geometric isomers of germanium alkenyl compounds
A. N. Nesmeyanov, A. E. Borisov, N. V. Novikova
333
Radiolysis of hexachlorocyclopentadiene
N. S. Rabovskaya, L. M. Kogan
337
Investiga tion of the electric conductivity of aqueous and non-aqueous trifluoroborazane solutions
Vikt. I. Spitsyn, I. D. Colli, R. A. Rodionov, T. G. Sevast'yanova
341
The kinetics of the catalytic dehydrogenation of butane to butylenes
Yu. S. Khodakov, Kh. M. Minachev, O. D. Sterligov
344

PHYSICAL CHEMISTRY
The influence of the molecular weight of hydrocarbons on their diffusion in polymers
V. K. Gromov, R. M. Vasenin, A. E. Chalykh, S. S. Voyutskii
347
Photochemical reaction of hydrobromination in vitreous and crystalline mixtures of allyl chloride and hydrogen bromide
G. N. Kovalev, M. N. Masterova, G. B. Sergeev
351
Reaction kinetics in macromolecules. The influence of the neighbour links
A. D. Litmanovich
354
The two-photon character of a sensibilized photodecay of methyl iodide, as detected by means of electron-spin resonance
V. V. Ryl'kov, V. E. Kholmogorov, A. N. Terenin
356
Optical anisotropy of semirigid chain molecules and birefringence in a flow of their solutions
V. N. Tsvetkov
360
Theory of the diffusiophoresis of big nonvolatile aerosol particles
Yu. I. Yalamov, B. V. Deryagin
364


M. A. Naimark
254

M. A. Naimark
254

Number 3

MATHEMATICS
A generalization of the concept of a Lie algebra
A. Blokh
471
Convergence of difference schemes for the wave equation with variable coefficients
Yu. E. Boyarintsev
474
The $d$-characteristic of a linear operator
M. A. Gol'dman, S. N. Krachkovskii
476
On the property of instability of harmonic capacity
A. A. Gonchar
479
On parabolic systems with coefficients satisfying Dini's condition
M. I. Matiichuk, S. D. Èidel'man
482
Generalized solutions of first order differential equations in Banach space
P. E. Sobolevskii
486
On the method of averaging in systems of integro-differential equations
A. N. Filatov
490
On the theory of generalized almost periodic sequences
I. S. Frolov
493
On the Rudin–Carleson theorem
S. Ya. Havinson
497
On the structure of isometric transformations of a symplectic and orthogonal vector space
I. K. Tsikunov
500

AERODYNAMICS
Equations for the turbulent mation of a gas
V. N. Zhigulev
502

MATHEMATICAL PHYSICS
The moment problem in quantum field theory
V. P. Gachok
506
Automodel motion of a relativistic gas in general relativity if there is point symmetry
K. P. Stanyukovich, O. Sharshekeev, V. Ts. Gurovich
510
Increasing solutions of the Schrödinger equation
L. D. Faddeev
514

PHYSICS
Isomeric chemical shifts in the case of tin alloys with $d$-metals
N. S. Ibraimov, R. N. Kuz'min
518
Some features characteristic of the transfer and relaxation of small-radius polarons
M. I. Klinger
520
X-ray study of radiation damage in beryllium oxide
S. T. Konobeevskii, V. I. Klimentov, V. M. Kosenkov
524
On the spreading of quantum and classical probability packets
Yu. E. Murakhver
526
The symmetry of elementary particles in the uniform group theory
Yu. V. Novozhilov, I. A. Terent'ev
530
Low-temperature spectral distribution of the intrinsic photoeffect of the selenide and sulfide of cadmium
V. V. Sobolev
534
The width of the radiation spectrum of a quantum generator
Yu. A. Tarasov
537
A contribution to the quantum theory of unstable elementary particles
L. A. Khalfin
541

CRYSTALLOGRAPHY
The synthesis of garnets with big cations
B. V. Mill'
555

CHEMISTRY
Selective isolation of metal compounds $\mathrm{Ni}_3\mathrm{Al}$ and $\mathrm{Ni}_3\mathrm{Ti}$ from multicomponent nickel alloys
R. B. Golubtsova
559
The structure of lignane glycosides from acanthopanax roots
L. A. Elyakova, A. K. Dzizenko, G. B. Elyakov
562
Transfer of the influence of substituents in the series of cis- and trans-cinnamic acids
V. I. Zdanovich, Z. N. Parnes, D. N. Kursanov
566
Mass-spectrometer study of hydrocarbons. Methyl ethers of certain methyldesoxyhexosides
N. K. Kochetkov, O. S. Chizhov, B. M. Zolotarev
569
Thorium orthophosphates
A. K. Molodkin, T. A. Balakaeva, A. N. Kuchumova
573
Introduction of aromatic and heterocyclic radicals into ferrocene. The reaction between bromoferrocene and organomagnesium compounds
A. N. Nesmeyanov, V. A. Sazonova, V. N. Drozd
575
Correlation between the extracting power of organophosphoric extracting agents and the constant of the substituents at the phosphorus atom
A. V. Nikolaev, I. N. Gribanova, N. I. Yakovleva, V. B. Durasov, I. D. Khol'kina, Z. N. Mironova, E. N. Tsvetkov, M. I. Kabachnik
578
Reactions between triphenylphosphine and borofluorides of unsymmetric salts of diaryliodonium
O. A. Ptitsyna, M. E. Pudeeva, O. A. Reutov
582
The mechanism and order of addition of phosphorus trichloride and other choranhydrides of phosphorus acids and propylene oxide
A. N. Pudovik, È. M. Faizullin, G. I. Zhuravlev
586
Phase equilibrium diagrams of sodium chloride-water and potassium chloride-water systems
I. Kh. Khaibullin, N. M. Borisov
590

PHYSICAL CHEMISTRY
Organotin derivatives of barenes investigated by means of Mossbauer spectroscopy
A. Yu. Aleksandrov, V. I. Bregadze, V. I. Gol'danskiĭ, L. I. Zakharkin, O. Yu. Okhlobystin, V. V. Khrapov
593
The allotropy of liquids when their vapour is condensed in quartz capillaries
B. V. Deryagin, M. V. Talaev, N. N. Fedyakin
597
Stationary states in the radiolysis of neutral aqueous solutions of oxygen
S. A. Kabakchi, V. N. Shubin, P. I. Dolin
601
An investigation of the structure of crystallizing polymers solution
V. A. Kargin, N. F. Bakeev, S. Kh. Fakirov, N. I. Nikanorova
604
General theory of homo-heterogeneous processes in moving media
V. G. Levich, A. M. Brodskii
607
The thermodynamics of ionites hydration
E. F. Nekryach, O. D. Kurilenko, A. V. Dumanskii
611
Kinetic equations of complex reactions deduced by a graphic method
M. I. Temkin
615
The mechanism behind the interaction of certain aromatic dinitroderivatives with alkali, as studied by means of electron-spin resonance
B. I. Shapiro, V. M. Kazakova, Ya. K. Syrkin
619
Cohesion energy values for certain polymeres
V. E. Èskin, A. E. Nesterov
623

Number 4

MATHEMATICS
On the representations of the modular group on spaces of parabolic forms
A. N. Andrianov
735
On the density of finitary functions and the extension of classes of differentiable functions
O. V. Besov
738
Linear transformations of directionally diverging sequences
I. I. Volkov
742
Estimate of complexity for a function of the algebra of logic
G. P. Karev, S. A. Treskov, G. Sh. Fridman
745
On integral operators with Carleman kernels
V. B. Korotkov
748
On $C\Phi$-kernels of sets effectively different from $\Phi$-sets
Ya. L. Kreinin
752
Continuous decompositions and closed mappings of metric spaces
N. Lashnev
756
On the representation of arbitrary entire functions by Dirichlet series
A. F. Leont'ev
759
Estimates of the spherical matrix norm and of the corresponding logarithmic norm
S. M. Lozinskii
763
Asymptotic solutions for linear dynamic models of economic systems with time
V. L. Makarov
767
Certain interrelations between the degree of best approximation of analytic functions and the coefficients of their series expansion
Sh. R. Mamedov
770
On linear Boolean operators
B. S. Mityagin, B. N. Sadovskii
773
The asymptotic behavior of solutions of ordinary linear differential equations of order $n$
M. V. Fedoryuk
777

CYBERNETICS AND THE REGULATION THEORY
Analytic conditions for a real function to be positive
M. V. Meerov
780

PHYSICS
Quantum depolarization of electrons in the magnetic field
V. N. Baier, Yu. F. Orlov
783
Stimulated currents and electroluminescence in sublimated zinc sulfide films at $77^\circ$ 
A. G. Gol'dman, G. A. Zholkevich, N. P. Lazar
786
Kirchhoffs law manifestation in gamma-spectroscopy
Yu. T. Mazurenko
790
On possibility of producing unexcited compound nuclei of heavy transuranic elements
Ya. Maly
792
The high-frequency drift instability of plasma
A. B. Mikhailovskii, È. A. Pashitskii
796
Theory of the $SU_6$ symmetry of elementary particles
Yu. V. Novozhilov, I. A. Terent'ev
800
The shape of the exciton absorption lines of a cuprous oxide crystal
V. V. Sobolev
803
Ultrarelativistic gas scattering in the gravitational field
K. P. Stanyukovich, V. Ts. Gurovich
806

CHEMISTRY
The synthesis and isomerization of 4-oxy-4-methyl-2-heptenin-6-yl-2-cyclopentadienyl manganesetricarbonyl
K. N. Anisimov, N. E. Kolobova, G. K.-I. Magomedov
817
The synthesis of 1,4-dioxane and 1,4-dioxene homologues
I. F. Bel'skii, S. N. Khar'kov, N. I. Shuykin
821
On the deep colour of the anionic forms of cyclopentene-4-diones-1,3 and indandiones-1,3
È. Ya. Gren, G. Ya. Vanag
824
The reversible dehydrofluorination of 2-monohydroperfluoroisobutane and $\alpha$-hydrohexafluoroisobutiric acid esters
I. L. Knuniants, S. T. Kocharyan, Yu. A. Cheburkov, M. D. Bargamova, E. M. Rokhlin
827
Alkylation of aromatic hydrocarbons on synthetic ceolites
Kh. M. Minachev, Ya. I. Isakov, V. I. Garanin
831
Reactions of o-carboxybenzoylferrocene
A. N. Nesmeyanov, V. D. Vil'chevskaya, N. S. Kochetkova
835
A study of photochemical reaction between triphenylphosphine and borofluoride of diphenyliodonium
O. A. Ptitsyna, M. E. Pudeeva, O. A. Reutov
838
Electron-spin resonance of molybdenum complex compounds
D. I. Ryabchikov, I. N. Marov, Yu. N. Dubrov, V. K. Belyaeva, A. N. Ermakov
842
The mechanism behind the recombination of the radicals of irradiated proteins in the presence of oxygen
I. I. Sapezhinskii, N. M. Emanuel'
845
Thermographic and dilatometric investigation of polypyromellitimide
A. V. Sidorovich, M. I. Bessonov, A. P. Rudakov, M. M. Koton
848

PHYSICAL CHEMISTRY
Polymerization of condensed monomeres in a shock wave
G. A. Adadurov, I. M. Barkalov, V. I. Gol'danskiĭ, A. N. Dremin, T. N. Ignatovich, A. N. Mikhaĭlov, V. L. Tal'roze, P. A. Yampolsky
851
Atomic charges in nickelecene and nickelecinium determined by means of X-ray spectra
S. S. Batsanov, I. A. Ovsyannikova
855
Correlation between the mean frequency of the nuclear quadrupole resonance and the induction constant of the substituents in organylchlorosilanes
I. P. Biryukov, M. G. Voronkov, I. A. Safin
857
High reactivity of peroxide radicals in a redoxy reaction
V. M. Gol'dberg, L. K. Obukhova
860
Magnetic susceptibility of intracomplex compounds of nickel and copper with Schiffs bases
A. S. Kudravcev, I. A. Savich, È. A. Bylina, Vikt. I. Spitsyn
864
The type of polyvinylchloride plastification as estimated by nuclear magnetic resonance
A. I. Maklakov, L. Ya. Chenborisova
868
The mechanism by which bubbles are torn off from an unwettable horizontal plane
E. I. Nesis
871
Alkylation of benzene by a coaly substance obtained from propylene on silica gel
A. P. Rudenko, D. È. Bodrina, A. A. Balandin, M. F. Rodicheva
874
The mechanism underlying the formation of water columns with special properties upon the condensation of water vapour in broad freshly drawn glass capillaries
N. N. Fedyakin, B. V. Deryagin, A. V. Novikova, M. V. Talaev
878


P. N. Galich, I. T. Golubchenko, B. S. Gutyrya, V. G. Il'in, I. E. Neimark
734

Number 5

MATHEMATICS
Extremal problems for classes of analytic functions having a structural formula
I. A. Aleksandrov, V. Ya. Gutlyanskii
983
On convergence of transforms of differential equations to the normal form
A. D. Bruno
987
On fractional powers of elliptic operators
P. P. Zabreiko, M. A. Krasnosel'skii, E. I. Pustyl'nik
990
On a certain class of Post calculi
M. I. Kratko
994
Conditions of discreteness and continuity of the spectrum in the case of a self-conjugate system of first order differential equations
V. V. Martynov
996
On the density of Gaussian distributions and Wiener-Hopf integral equations
Yu. A. Rozanov
1000
Isoinvolutive decompositions of Lie algebras
L. V. Sabinin
1003
On the theory of difference schemes
A. A. Samarskii
1007
Semigroups of rectangular binary relations
B. M. Shain
1011

MECHANICS
Periodical operational conditions in certain distributed systems
N. N. Kochina
1015

FLUID MECHANICS
Calculation of one-dimensional flows in the case of a cylindrical or two-dimensional explosion in an ideally conducting gas with allowance for counterpressure and magnetic field
V. P. Korobeinikov
1019

THEORY OF ELASTICITY
The elastic equilibrium of an isotropic plane supported at a doubly periodic set of points, under the action of an arbitrary doubly periodic transverse load
È. I. Grigolyuk, L. A. Fil'shtinskii
1023

PHYSICS
The effect of the changing structure of the nucleus on the probability of $\beta$-decay
E. E. Berlovich, Yu. N. Novikov
1026
The equation of radiational accumulation of electron centres in alkalihaloid crystals
D. I. Vaisburd, I. Ya. Melik-Gaikazyan
1029
The probability of radiationless desactivation as related to the spectral characteristics of complex organic compounds
E. N. Viktorova, V. V. Zelinskii
1033
The supermolecular structure of sodium silicate glass as dependent on heating
D. A. Goganov, E. A. Porai-Koshits
1037
Magnetic moments and fields on atomic nuclei of ferromagnetics
F. M. Galperin
1041
The effect of the departure of ions from the charge on the state of ionization of admixtures
N. M. Gegechkori
1045
Determination of energy transfer velocity constants in chelate complex rare-earth ions
V. L. Ermolaev, V. G. Aleshin, E. A. Saenko
1048
Approximations of “free” and “bound” charges for a system of charged particles. Self-consistent equations for the second distribution functions
Yu. L. Klimontovich
1052
A $\mathrm{CaF}_2:\mathrm{Dy}^{2+}$ optical maser operating in repeated giaunt pulses regime with continuous pumping
V. K. Konyukhov, V. V. Kostin, L. A. Kulevskii, T. M. Murina, A. M. Prokhorov
1056
On the mechanisms of superconductivity
V. Z. Kresin
1059
Low-temperature spectrophotometric investigations in the region of the long-wavelength edge of light absorption by single crystals of cadmium selenide and cadmium sulfide
V. V. Sobolev
1062

CHEMISTRY
Synthesis of new aromatic polyimides based on 3,3 : 4,4'-diphenyl tetracarboxylic dianhydride
N. A. Adrova, M. M. Koton, E. M. Moskvina
1069
Synthesis of 3-oxa-1,5-ketoalcohols and investigation of their tautomeric transformations
I. F. Bel'skii, S. N. Khar'kov, N. I. Shuykin
1071
An investigation of the $\mathrm{Gd}_2\mathrm{O}_3$$\mathrm{Al}_2\mathrm{O}_3$ and $\mathrm{Sm}_2\mathrm{O}_3$$\mathrm{Al}_2\mathrm{O}_3$ systems
P. P. Budnikov, V. I. Kushakovskii, V. S. Belevantsev
1075
The influence of the aqueousness of the medium on the type of hydride shifts and the degree of isomerization by the acetolysis of deuterocyclohexyl $n$-toluenesulfonates
Yu. G. Bundel', V. A. Savin, A. A. Lubovich, O. A. Reutov
1078
Stable elements in a heptacomponent equilibrium system
N. S. Dombrovskaya, V. I. Posypaiko, E. A. Alekseeva, N. V. Khakhlova
1081
The application of correlation equations for the study of keto-enol equilibrium
M. I. Kabachnik, S. T. Ioffe
1085
Calorimetric determination of the crystallinity degree of grafted copolymers of styrene and $\varepsilon$-caprolactane, and investigation of their thermostability
V. V. Korshak, I. F. Manucharova, T. M. Frunze, E. L. Baranov
1088
Solubility of hydrogen in liquid niobium
V. I. Lakomskii, N. N. Kalinyuk
1091
Formation of a molecular hydrogen from a proton and a hydromobile hydrogen of the $\mathrm{C}$$\mathrm{H}$ bond
Z. N. Parnes, M. I. Kalinkin, D. N. Kursanov
1093
Praseodymium and neodymium determination by means of the $(n,2n)$ reaction
I. N. Plaksin, L. P. Starchik, V. T. Tustanovskii
1095

PHYSICAL CHEMISTRY
Polymerization of vinyl oleate in the state of liquid crystals
Yu. B. Amerik, B. A. Krentsel', I. I. Konstantinov
1097
Displacement of adsorption equilibrium at a semiconductor surface under the effect of illumination
F. F. Vol'kenshtein, I. V. Karpenko
1101
Deuterium exchange of cyclopentane over metal dust catalysts
B. S. Gudkov, A. A. Balandin
1105
The dendrite mechanism underlying the formation of large crystalline structures in isotactic polypropylene
V. A. Kargin, I. I. Gorina
1108
Nuclear magnetic resonance investigation of water protons in ceolites at low temperatures
V. I. Kvlividze, V. F. Kiselev, V. V. Serpinskii
1111
Theory of homo-heterogeneous radical reactions in a turbulent flow
V. G. Levich, A. M. Brodskii
1115
A new approach to the calculation of intensities in vibration spectra of molecules
L. S. Mayants, B. S. Averbukh
1119
The thermodynamics of the swelling of steric polyurethanes
A. A. Tager, L. Ya. Karas'
1122
The position of hydrogen ions in some heteropolycompounds investigated by means of nuclear magnetic resonance
V. F. Chuvaev, S. A. Bakhchisaraitseva, Vikt. I. Spitsyn
1126
The kinetics of the reaction between $\mathrm{In}$ and $\mathrm{Sb}$ films investigated by means of electron diffraction
H. A. Efendiev, F. I. Aliev
1130


G. L. Galchenko, D. A. Gedakyan, B. I. Timofeev, S. M. Skuratov
982

Number 6

MATHEMATICS
On double Stieltjes operator integrals
M. Sh. Birman, M. Z. Solomyak
1223
Almost periodic solutions of differential equations in Hilbert space
V. V. Zhikov
1227
Boundary value problems for differential and integrodifferential equations in the space $W_{p_1…p_k}^{m_1…m_k}$, $W_{p_1…p_k}^{m_1…m_k}{b_1…b_n}$
V. I. Kondrashov
1231
On non-self-adjoint ordinary differential operators of the second order
Allan M. Krall
1235
On the constructive theory of the Riemann integral
B. A. Kushner
1238
On the continuation of the one-dimensional Dirac system
B. M. Levitan, I. S. Sargsyan
1241
On certain cases of conservation of almost periodic motions with a small change of the Hamiltonian function
V. K. Mel'nikov
1245
Approximation theorems for differential equations
È. M. Saak
1249
Additivity principle for the construction of efficient difference schemes
A. A. Samarskii
1253
Topological imbeddings of polyhedra in Euclidean spaces
A. V. Chernavskii
1257

FLUID MECHANICS
Motion of a three-dimensional diffusing vortex tube in an incompressible viscous fluid
V. È. Baskin
1261

MATHEMATICAL PHYSICS
Evolutional graphs and their use in studying and solving systems of linear equations
P. E. Krasnushkin
1265

PHYSICS
Stability of rarefied plasma in short traps
V. V. Arsenin
1269
Potentials of repelling interaction between atoms of noble gases
A. B. Kamnev, V. B. Leonas
1273
Maximum critical magnetic fields in superconducting metals
B. G. Lazarev, E. E. Semenenko, A. I. Sudovtsov, V. M. Kuz'menko
1275
Use of radioactive sources of characteristic radiation in X-ray diffraction analyses
S. I. Lobov, V. A. Tsukerman
1278
A contribution to the theory of Zeeman effect in gas lasers
N. N. Rosanov, A. V. Tulub
1280
Some problems in the theory of ordered crystal structure
A. G. Khachaturyan
1284

GEOPHYSICS
Determination of the concentration of cloud condensation nuclei
A. G. Laktionov
1290
The mechanism of generation of volcanic tremor, and the remote forecast of eruptions
H. S. Shteinberg
1294

CRYSTALLOGRAPHY
Occurrence distribution of right-handed and left-handed crystals
È. D. Rogacheva
1298

CHEMISTRY
Isomerization of cyclohexyl-2,6-$\mathrm{H}_2^3$-cation in a desamination reaction
Yu. G. Bundel', V. A. Savin, M. N. Ryabtsov, O. A. Reutov
1303
The addition of nitrosyl fluoride and chloride to alkyl perfluorovinyl ethers
B. L. Dyatkin, R. A. Bekker, Yu. S. Konstantinov, I. L. Knuniants
1305
The structure of sugar chains of panaxosides $\mathrm{D}$, $\mathrm{E}$ $\mathrm{F}$
G. B. Elyakov, N. I. Uvarova, R. P. Gorshkova, Yu. S. Ovodov, N. K. Kochetkov
1309
Diethylphosphoric acid thionylaihide in the diene synthesis reaction
E. G. Kataev, V. V. Plemenkov, V. V. Markin
1313
The role of thermal dissociation in the interaction processes of carbon with carbon dioxide and oxygen
N. V. Lavrov, G. P. Khaustovich
1317
Molecular refractions of boronitrous compounds
I. S. Panidi
1320
Differences in the supermolecular structures of amorphous polyarylates obtained by in terphasic polycondensation and high-temperature polycondensation in a homogeneous medium
G. L. Slonimskii, V. V. Korshak, S. V. Vinogradova, A. I. Kitaigorodskii, A. A. Askadskii, S. N. Salazkin, E. M. Belavtseva
1323
The thermodynamical properties of the $\mathrm{MnO}$$\mathrm{FeO}$ solid solution
T. D. Takenov, V. F. Balakirev, G. I. Chufarov
1325
The phase composition of amorphous films obtained by vapour condensation in heating a mixture of silicon oxide and silicon in vacuum
T. A. Fadeeva, Z. P. Pasheva
1329

PHYSICAL CHEMISTRY
Experimental check of a hypothesis on the $p$$n$-mechanism of spectral sensibilization
I. A. Akimov, A. N. Terenin
1332
Electron spin resonance of manganese ions in a vitreous system of $\mathrm{As}$$\mathrm{Se}$$\mathrm{Ge}$
L. D. Bogomolova, V. N. Lazukin, I. V. Chepeleva, L. A. Bal'skaya
1336
Electron-spin resonance spectra of the anion radicals of certain aromatic hydrocarbons
V. M. Kazakova, B. I. Shapiro, I. G. Makarov, Ya. K. Syrkin
1340
The nature of the stereospecific action of heterogeneous catalysts in the polymerization of propylene oxide
V. S. Livshits, O. V. Krylov
1343
Mössbauer effect as analyzer in the radioactive tracer technique
R. A. Stukan, V. I. Gol'danskiĭ, E. F. Makarov
1347
Reversible photochemical oxidation of chlorophyll by nitrocompounds
I. N. Chernyuk, I. I. Dilung
1350
Some results of X-ray spectral investigations of the chemical bound in titanium oxides of variable composition $(\mathrm{TiO}_{0,85}-\mathrm{TiO}_{1,20})$
V. I. Chirkov, È. E. Vainstein
1354


È. A. Loginov
1222

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 Dokl. Akad. Nauk, Volume 352 (1997)

 Dokl. Akad. Nauk, Volume 353 (1997)

 Dokl. Akad. Nauk, Volume 354 (1997)

 
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