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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)

 Dokl. Akad. Nauk SSSR, Volume 166 (1966)

 Dokl. Akad. Nauk SSSR, Volume 167 (1966)

 Dokl. Akad. Nauk SSSR, Volume 168 (1966)

 Dokl. Akad. Nauk SSSR, Volume 169 (1966)

 Dokl. Akad. Nauk SSSR, Volume 170 (1966)

 Dokl. Akad. Nauk SSSR, Volume 171 (1966)

 Dokl. Akad. Nauk SSSR, Volume 172 (1967)

 Dokl. Akad. Nauk SSSR, Volume 173 (1967)

 Dokl. Akad. Nauk SSSR, Volume 174 (1967)

 Dokl. Akad. Nauk SSSR, Volume 175 (1967)

 Dokl. Akad. Nauk SSSR, Volume 176 (1967)

 Dokl. Akad. Nauk SSSR, Volume 177 (1967)

 Dokl. Akad. Nauk SSSR, Volume 178 (1968)

 Dokl. Akad. Nauk SSSR, Volume 179 (1968)

 Dokl. Akad. Nauk SSSR, Volume 180 (1968)

 Dokl. Akad. Nauk SSSR, Volume 181 (1968)

 Dokl. Akad. Nauk SSSR, Volume 182 (1968)

 Dokl. Akad. Nauk SSSR, Volume 183 (1968)

 Dokl. Akad. Nauk SSSR, Volume 184 (1969)

 Dokl. Akad. Nauk SSSR, Volume 185 (1969)

 Dokl. Akad. Nauk SSSR, Volume 186 (1969)

 Dokl. Akad. Nauk SSSR, Volume 187 (1969)

 Dokl. Akad. Nauk SSSR, Volume 188 (1969)

 Dokl. Akad. Nauk SSSR, Volume 189 (1969)

 Dokl. Akad. Nauk SSSR, Volume 190 (1970)

 Dokl. Akad. Nauk SSSR, Volume 191 (1970)

 Dokl. Akad. Nauk SSSR, Volume 192 (1970)

 Dokl. Akad. Nauk SSSR, Volume 193 (1970)

 Dokl. Akad. Nauk SSSR, Volume 194 (1970)

 Dokl. Akad. Nauk SSSR, Volume 195 (1970)

 Dokl. Akad. Nauk SSSR, Volume 196 (1971)

 Dokl. Akad. Nauk SSSR, Volume 197 (1971)

 Dokl. Akad. Nauk SSSR, Volume 198 (1971)

 Dokl. Akad. Nauk SSSR, Volume 199 (1971)

 Dokl. Akad. Nauk SSSR, Volume 200 (1971)

 Dokl. Akad. Nauk SSSR, Volume 201 (1971)

 Dokl. Akad. Nauk SSSR, Volume 202 (1972)

 Dokl. Akad. Nauk SSSR, Volume 203 (1972)

 Dokl. Akad. Nauk SSSR, Volume 204 (1972)

 Dokl. Akad. Nauk SSSR, Volume 205 (1972)

 Dokl. Akad. Nauk SSSR, Volume 206 (1972)

 Dokl. Akad. Nauk SSSR, Volume 207 (1972)

 Dokl. Akad. Nauk SSSR, Volume 208 (1973)

 Dokl. Akad. Nauk SSSR, Volume 209 (1973)

 Dokl. Akad. Nauk SSSR, Volume 210 (1973)

 Dokl. Akad. Nauk SSSR, Volume 211 (1973)

 Dokl. Akad. Nauk SSSR, Volume 212 (1973)

 Dokl. Akad. Nauk SSSR, Volume 213 (1973)

 Dokl. Akad. Nauk SSSR, Volume 214 (1974)

 Dokl. Akad. Nauk SSSR, Volume 215 (1974)

 Dokl. Akad. Nauk SSSR, Volume 216 (1974)

 Dokl. Akad. Nauk SSSR, Volume 217 (1974)

 Dokl. Akad. Nauk SSSR, Volume 218 (1974)

 Dokl. Akad. Nauk SSSR, Volume 219 (1974)

 Dokl. Akad. Nauk SSSR, Volume 220 (1975)

 Dokl. Akad. Nauk SSSR, Volume 221 (1975)

 Dokl. Akad. Nauk SSSR, Volume 222 (1975)

 Dokl. Akad. Nauk SSSR, Volume 223 (1975)

 Dokl. Akad. Nauk SSSR, Volume 224 (1975)

 Dokl. Akad. Nauk SSSR, Volume 225 (1975)

 Dokl. Akad. Nauk SSSR, Volume 226 (1976)

 Dokl. Akad. Nauk SSSR, Volume 227 (1976)

 Dokl. Akad. Nauk SSSR, Volume 228 (1976)

 Dokl. Akad. Nauk SSSR, Volume 229 (1976)

Dokl. Akad. Nauk SSSR, Volume 230 (1976)

Number 1
MATHEMATICS
On the structure of the symbol of operators forming finite-dimensional algebras
N. L. Vasilevskii, E. V. Gutnikov
11
A condition for regularity of the Bellman–Harris branching process
V. A. Vatutin
15
Best one-sided approximation of some classes of differentiable periodic functions
V. G. Doronin, A. A. Ligun
19
The space $2^X$ and Markov fields
I. V. Evstigneev
22
Lie–Bäcklund groups and conservation laws
N. H. Ibragimov
26
On the properties of a reduced system of eigenfunctions and associated functions of a Keldys bundle of ordinary differential operators
V. A. Il'in
30
Moduli and versal deformations of complex spaces
V. P. Palamodov
34
Properties of the scattering and transfer functions for waves in structures with prescribed geometry
A. G. Rutkas
38
Homotopy invariants of rational homology manifolds
Yu. P. Solov'ev
41
Second-order differential equations for functions of an infinite-dimensional argument
A. V. Uglanov
44

MECHANICS
Vibration effects under conditions of zero-gravity and the prospects of space technology
R. F. Ganiev, V. D. Lakiza, A. S. Capenko
48
Application of the theory of singularly perturbed equations to the study of gyroscopic systems
A. I. Kobrin, Yu. G. Martynenko
52
Bending of plates of arbitrary contour
V. M. Kulakov, V. M. Tolkachev
56

FLUID MECHANICS
On the determination of hydrodynamic forces of the interaction between weak shock waves and an elastic sphere
È. I. Grigolyuk, A. G. Gorshkov, D. V. Tarlakovskii
60
Local model of a turbulent medium
M. V. Lur'e, N. M. Dmitriev
64

PHYSICS
Channeling of ions at small depths
R. Vedel', M. A. Kumakhov
68
On the structure of near order in liquid iron, cobalt, and nickel
E. A. Klimenkov, P. V. Geld, B. A. Baum, Yu. A. Bazin
71
On specific features of thermomigration during quantum diffusion in crystals
M. I. Klinger
74

CRYSTALLOGRAPHY
New extra reflections on the X-ray diffraction patterns of diamonds
V. I. Lisoivan
88
Refinement of the crystal structure of frolovite, $\mathrm{Ca}[\mathrm{B}(\mathrm{OH})_4]_2$
M. A. Simonov, E. V. Kazanskaya, Yu. K. Egorov-Tismenko, E. P. Zhelezin, N. V. Belov
91


V. P. Platonov
10

Number 2

MATHEMATICS
Normal form and averaging methods
A. D. Bruno
257
The solution of nonlinear kinetic equations by the Monte Carlo method
S. M. Ermakov, V. V. Nekrutkin, A. Ya. Proshkin, A. F. Sizova
261
On $\pi$-sets
V. P. Zolotarev
264
A fixed-point theorem
V. A. Kalinin
267
On the kernel of Poincarés $\theta$-operator
G. M. Lyan
269
On the number of $(0,1)$-matrices with prescribed sums of rows and columns
M. P. Mineev, A. I. Pavlov
271
The first boundary value problem for elliptic operators degenerate on the boundary of the domain
N. V. Miroshin
275
A class of compact spaces
S. A. Peregudov, B. È. Shapirovskii
279
Investigation of a class of integral equations
A. G. Ramm
283
Relative elliptic theory and the S. L. Sobolev problem
B. Yu. Sternin
287
On the approximate solution of singular integral equations and boundary value problems with a shift
N. Ya. Tikhonenko
291
On complex representations of the full affine group over a finite field
D. K. Faddeev
295

MECHANICS
On one property of matrix describing the structure of manipulator drive
I. I. Artobolevsky, A. G. Ovakimov
298

FLUID MECHANICS
Conical shell under the action of a weak shock wave
È. I. Grigolyuk, E. B. Kuznetsov
300
Orthogonal expansions in the Orr–Sommerfeld problem
A. V. Latyshev, A. E. Ordanovich
302
Motion of liquid phase during the filling of a cylindrical channel
N. N. Rykalin, A. A. Uglov, I. V. Zuev, V. V. Ivanov, V. I. Korenkov
305

THEORY OF ELASTICITY
The Hertz problem for finite linear and nonlinear elastic bodies
A. S. Kravchuk
308

GEOPHYSICS
Abyssal seismic rupture of the Crimean-Caucasian region and the motion of lithospheric plates
P. N. Kropotkin, L. V. Larionov
311
Gravimagnetic waves
A. S. Monin
315

CRYSTALLOGRAPHY
Television system for the visualization of X-ray diffraction topography patterns
P. A. Bezirganyan, S. A. Shaboyan, K. T. Avetyan, V. I. Avunzhyan
329
Crystal structure of $\mathrm{LiYSiO}_4$
Yu. V. Nikol'skii, B. A. Maksimov, N. V. Belov
331

Number 3

MATHEMATICS
Asymptotic behavior of the spectrum of elliptic boundary value problems with resolvable couplings
A. B. Alekseev, M. Sh. Birman
505
Convergence almost everywhere of Fourier series of functions in $L^2$ and the behavior of the coefficients of uniformly convergent Fourier series
S. A. Vinogradov
508
On the limit cycles of piecewise affine systems
Yu. I. Gil'derman
512
Local properties of discrete regular systems
N. P. Dolbilin
516
On the recovery of a domain from scattering data
V. M. Isakov
520
Singular boundary value problems for the generalized biaxially symmetric Helmholtz equation
O. I. Marichev
523
General convergence theorems on projection methods for operator equations in Banach spaces
S. Prößdorf, B. Silbermann
527
On the solution of boundary value problems with the aid of approximations and expansions
A. T. Taldykin
530
On a linear differential game of convergence of several controlled objects
S. I. Tarlinskii
534

CYBERNETICS AND THE REGULATION THEORY
An adaptive algorithm of suboptimal estimation
A. A. Krasovskii
538

AERODYNAMICS
On the structure of flow near the side surface and on the formation of separated zones on bodies of segmental-conical form
G. N. Andreev, A. I. Glagolev, A. I. Zubkov, B. E. Lyagushin, V. B. Minostsev
541

FLUID MECHANICS
Exact solutions of two-dimensional problems of the steady filtration of a viscoplastic liquid with a variable initial gradient
L. M. Kotlyar, È. V. Skvortsov
545

THEORY OF ELASTICITY
Damping rate of stresses in cylindrical elastic bodies
V. L. Berdichevsky
549

GEOPHYSICS
Polarization method of seismic investigations
E. I. Galperin
553
Numerical modelling of the atmosphere and ocean joint circulation
S. S. Zilitinkevich, A. S. Monin, V. G. Turikov, D. V. Chalikov
556
Radiation cooling under conditions of serene, turbid and cloudy atmosphere of the Earth
K. Ya. Kondrat'ev, N. I. Moskalenko
560
On the effect of internal gravitational waves upon the disturbance of ionic composition of the nocturnal region F2 in the period of magnetic storm
Yu. A. Romanovskii, V. Yu. Gaydukov
563

MATHEMATICAL PHYSICS
The theory of perturbations of equations, possessing an invariance group, as exemplified by flame propagation
Ya. B. Zel'dovich
567
On the complementary invariance of Klein–Gordon–Fock equation
W. I. Fushchych
570

PHYSICS
On the effect of phase transition (volatility) upon the diffusiophoretic motion of moderately coarse and coarse volatile aerosol particles
Yu. I. Yalamov, E. R. Shchukin, B. V. Deryagin
573

CRYSTALLOGRAPHY
Crystal specificity of zinc silicates: synthetic $\mathrm{K}_2\mathrm{Mn}_2\mathrm{Zn}_4[\mathrm{SiO}_4]_2[\mathrm{Si}_2\mathrm{O}_7]$ and natural $\mathrm{Zn}_4[\mathrm{Si}_2\mathrm{O}_7](\mathrm{OH})_2\cdot\mathrm{H}_2\mathrm{O}$ (hemimorphite)
M. A. Simonov, N. V. Belov
586

Number 4

MATHEMATICS
On some difference schemes for radiant heat conduction problems
V. N. Abrashin
753
On solvable commutative semigroups
L. M. Gluskin
757
On Mott's problem
I. Ya. Gol'shteid, S. A. Molchanov
761
On the differentiability of functions that can be approximated sufficiently well in the Hausdorff or uniform metric
E. P. Dolzhenko
765
On a class of equations of mixed type in multidimensional domains
G. D. Karatoprakliev
769
An alternative in a linear convergence-evasion game with incomplete information
A. V. Kryazhimskiy
773
Structural stability of noncompact Anosov flows and hyperbolic motions in Kepler's problem
Yu. S. Osipov
777
On global homeomorphism of mappings quasi-conformal in the mean
M. Perović
781
On the solvability of a boundary value problem in space for a quasi-linear system of fourth order equations of mixed type
N. I. Samedov
785
All small categories are representable by continuous nonconstant mappings of bicompacta
Vera Trnková
789
Linear acceleration of the operating time of single-tape Turing machines
S. N. Sakuov
792
Traceable operators in constructive analysis
V. A. Shurygin
795

MECHANICS
Regular polygons of point vortices and resonance instability of steady states
L. G. Khazin
799

AERODYNAMICS
Shock waves propagating in an inhomogeneous atmosphere
L. V. Shurshalov
803

GEOPHYSICS
On principles of the modeling of rocks with mixed conductivity in the description of electric polarization
B. I. Gennadinik, V. P. Melnikov, P. I. Melnikov
807
$D$-waves, and nonuniformity of the Earth rotation
Sh. A. Guberman
811
On the description of motion of the inhomogeneous gravitating medium
Zh. S. Erzhanov, I. A. Garagash
815
Laser probing of the upper atmosphere of the Central Arctic
G. F. Tulinov, Yu. P. Dudoladov, M. V. Obraztsov, M. L. Shanen, Zh. Mezhi
819

MATHEMATICAL PHYSICS
Whispering gallery waves in a neighborhood of a point of inflection of the boundary
M. M. Popov, I. Pshenchik
822
Limiting relationships for correlation functions
M. H. Kharrasov
826

PHYSICS
A method of diatomic ion-molecular system calculation using double-center molecular wave functions
V. K. Kapyshev, V. V. Starykh
830
The region of passage of anomalous photocurrent in films of mercury-activated amorphous selenium
M. I. Korsunskii, A. D. Volchek, V. M. Smurygin
834

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Ca}$, $\mathrm{Mg}$-diortho-triborate (pyroborate) of kurchatovite, $\mathrm{CaMg}[\mathrm{B}_2\mathrm{O}_5]$
O. V. Yakubovich, M. A. Simonov, E. L. Belokoneva, Yu. K. Egorov-Tismenko, N. V. Belov
837


I. L. Nersesov, Yu. F. Kopnichev
752

Number 5

MATHEMATICS
The focussing problem and the asymptotic behavior of the spectral function of the Laplace–Beltrami operator
V. M. Babich, B. M. Levitan
1017
Some factorization theorems for integral operators
N. B. Engibaryan
1021
Ahlfors problem on the continuation of quasi-conformal mappings and the quasi-conformal equivalence domains to a ball
A. P. Kopylov
1025
Support sets for sublinear operators
S. S. Kutateladze
1029
Cauchy problems for a complete evolution equation of second order
M. M. Lavrent'ev, M. A. Atakhodzhaev
1033
On the eigenfunctions of a boundary value problem
E. I. Moiseev
1035
On the regularity of boundary points for second order equations with nonnegative characteristic form
A. A. Novruzov
1039
$\operatorname{coz}$-sets in uniform spaces
Z. Frolík
1043
On a game problem on the minimax functional
A. G. Chentsov
1047

CYBERNETICS AND THE REGULATION THEORY
Discrete optimal control of models of molecular systems
A. A. Zenkin
1051
Optimal control of two-phase filtration flows in porous media
M. V. Meerov, B. L. Litvak, M. L. Litvak
1055

ASTRONOMY
Practice of the ballistic radiolocation of Venusian atmosphere using the Venera 10 satellite
A. G. Pavel'ev, M. A. Kolosov, O. I. Yakovlev, A. I. Kucherjavenkov, S. S. Matyugov, V. I. Kaevitser, I. È. Kalashnikov
1059

GEOPHYSICS
Global investigation of ion concentration distribution in the ionosphere
I. B. Balev, A. A. Gol'din, E. G. Grinvald, V. A. Pavlenko, A. I. Savin, M. K. Serov, V. L. Tal'roze
1062

PHYSICS
Diffraction properties of optical resonator periodic modes
V. K. Ablekov, V. S. Belyaev, V. M. Marchenko, A. M. Prokhorov
1066
On wave properties of modulated energy fluxes
L. S. Dolin
1069
Artificially stimulated precipitation of electrons from the Earth magnetosphere
I. A. Zhulin, S. B. Lyakhov, A. D. Maiorov, G. G. Managadze, M. M. Mogilevskii, V. M. Chmyrev
1073
On the possibility of existence of $\gamma$-quantum spontaneous radiation from relativistic channeled particles
M. A. Kumakhov
1077
New optical schemes of semiconductor lasers
L. N. Kurbatov, G. N. Romanov, I. M. Froimson, S. S. Shakhidzhanov
1081
Photomagnetization of magnetic semiconductors and photoinduced heterotransitions
N. S. Lidorenko, V. M. Matveev, È. L. Nagaev
1085
Investigation of electrostriction constants of the first and second order in substances with high dielectric constant
S. I. Pekar, A. A. Demidenko, A. P. Zdebskii, V. A. Ivanets, V. N. Piskovoi, N. S. Shernaya
1089
Laser diagnostics of the non-equilibrium SHF discharge
L. N. Pyatnitskiĭ, V. S. Zhivopistsev, V. S. Zrodnikov, V. F. Chinnov
1092
Photon scattering by weakly-bound electron
G. L. Yudin
1095

Number 6

MATHEMATICS
On a linear differential equation of fourth order in Hilbert space
M. A. Atakhodzhaev
1265
On the solution of ordinary differential equations by interval methods
S. A. Kalmykov, Yu. I. Shokin, Z. H. Yuldashev
1267
On boundary value problems in domains of general type for singular parabolic systems of equations
I. A. Kipriyanov, V. V. Katrakhov, V. M. Lyapin
1271
On local properties
S. R. Kogalovskii
1275
Semiheaps of topological mappings
L. G. Mustafaev
1279
Uniformities and outer valuations on logics
T. A. Sarymsakov, V. I. Chilin
1282
The scheme of a three-dimensional Morse–Smale dynamical system without closed trajectories
Ya. L. Umanskii
1286
Representations of the full matrix semigroup over a finite field
D. K. Faddeev
1290
Hypercozero sets in uniform spaces
Z. Frolík
1294

CYBERNETICS AND THE REGULATION THEORY
Simulation of combinatorial problems in discrete mathematics
G. E. Pukhov, G. K. Sharashidze
1297
Heuristic-conceptual programming in the form of decision tables
V. V. Chavchanidze
1300

MECHANICS
A variational principle of nonlinear viscoelasticity with a geometric nonlinearity taken into account
R. Yu. Amenzade, A. N. Alizade
1303

FLUID MECHANICS
Numerical investigation of converging shock and heat waves
E. A. Berchenko, V. P. Korobeinikov
1306

GEOPHYSICS
The pattern of tectonic lineaments and the distribution of earthquake foci with $M\ge6{,}3$ in the Central part of Alpine folded region
V. I. Bune, V. D. Skaryatin, T. P. Polyakova, E. A. Shirokova
1310
Earthquakes, nonuniformity of the Earth rotation and $D$-waves
Sh. A. Guberman
1314
Experimental hodograph of $P$ wave and the horizontal inhomogeneity of the mantle
S. D. Kogan
1318

MATHEMATICAL PHYSICS
Short-wave asymptotics of normal modes in a locally stratified medium
A. V. Popov
1322

PHYSICS
On channels of dissotiative recombination
V. D. Kulagin
1326

CRYSTALLOGRAPHY
Crystal structure of double molybdate $\mathrm{Rb}_5\mathrm{Er}(\mathrm{MoO}_4)_4$
R. F. Klevtsova, L. A. Glinskaya
1337
On crystal structure of synthetic $\mathrm{Na}$-zincosilicate, $\mathrm{Na}_2[\mathrm{ZnSi}_3\mathrm{O}_8]$
M. A. Simonov, Yu. K. Egorov-Tismenko, N. V. Belov
1341

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