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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)

 Dokl. Akad. Nauk SSSR, Volume 231 (1976)

 Dokl. Akad. Nauk SSSR, Volume 232 (1977)

 Dokl. Akad. Nauk SSSR, Volume 233 (1977)

 Dokl. Akad. Nauk SSSR, Volume 234 (1977)

 Dokl. Akad. Nauk SSSR, Volume 235 (1977)

 Dokl. Akad. Nauk SSSR, Volume 236 (1977)

 Dokl. Akad. Nauk SSSR, Volume 237 (1977)

 Dokl. Akad. Nauk SSSR, Volume 238 (1978)

 Dokl. Akad. Nauk SSSR, Volume 239 (1978)

 Dokl. Akad. Nauk SSSR, Volume 240 (1978)

 Dokl. Akad. Nauk SSSR, Volume 241 (1978)

 Dokl. Akad. Nauk SSSR, Volume 242 (1978)

 Dokl. Akad. Nauk SSSR, Volume 243 (1978)

 Dokl. Akad. Nauk SSSR, Volume 244 (1979)

 Dokl. Akad. Nauk SSSR, Volume 245 (1979)

 Dokl. Akad. Nauk SSSR, Volume 246 (1979)

 Dokl. Akad. Nauk SSSR, Volume 247 (1979)

 Dokl. Akad. Nauk SSSR, Volume 248 (1979)

 Dokl. Akad. Nauk SSSR, Volume 249 (1979)

 Dokl. Akad. Nauk SSSR, Volume 250 (1980)

 Dokl. Akad. Nauk SSSR, Volume 251 (1980)

 Dokl. Akad. Nauk SSSR, Volume 252 (1980)

 Dokl. Akad. Nauk SSSR, Volume 253 (1980)

 Dokl. Akad. Nauk SSSR, Volume 254 (1980)

 Dokl. Akad. Nauk SSSR, Volume 255 (1980)

 Dokl. Akad. Nauk SSSR, Volume 256 (1981)

 Dokl. Akad. Nauk SSSR, Volume 257 (1981)

 Dokl. Akad. Nauk SSSR, Volume 258 (1981)

 Dokl. Akad. Nauk SSSR, Volume 259 (1981)

 Dokl. Akad. Nauk SSSR, Volume 260 (1981)

 Dokl. Akad. Nauk SSSR, Volume 261 (1981)

 Dokl. Akad. Nauk SSSR, Volume 262 (1982)

 Dokl. Akad. Nauk SSSR, Volume 263 (1982)

 Dokl. Akad. Nauk SSSR, Volume 264 (1982)

 Dokl. Akad. Nauk SSSR, Volume 265 (1982)

 Dokl. Akad. Nauk SSSR, Volume 266 (1982)

 Dokl. Akad. Nauk SSSR, Volume 267 (1982)

 Dokl. Akad. Nauk SSSR, Volume 268 (1983)

 Dokl. Akad. Nauk SSSR, Volume 269 (1983)

Dokl. Akad. Nauk SSSR, Volume 270 (1983)

Number 1
MATHEMATICS
Recurrence relations and variational inequalities
Ya. I. Al'ber
11
Scattering matrices in the teory of dilations of isometric operators
D. Z. Arov, L. Z. Grossman
17
On the theory of self-dual $\mathrm{SU}(3)$ gauge fields
A. V. Bitsadze
21
Integral representation of the Bergman kernel function and the Ramadanov conjecture
D. Boichu, G. Cœuré
23
On the stability of difference schemes for ill-posed problems
A. L. Bukhgeim
26
On higher-order methods for solving operator equations
F. P. Vasil'ev, L. N. Khromova
28
On some problems of linear regularizability
V. A. Vinokurov, E. N. Domanskii, L. D. Menikhes, A. N. Plichko
31
Fundamental tetrahedra in Euclidean and Lobachevsky spaces
I. K. Zhuk
35
On a theorem of A. Stone
A. P. Kombarov
38
A functional central limit theorem for semimartingales with values in Hilbert space
V. V. Lavrentyev
41
Torsion in the group $K_{2}$ for a local field
A. S. Merkur'ev
45
Domains of Korkin–Zolotarev reduction of positive quadratic forms in $n\leq8$ variables and reduction algorithms for these domains
N. V. Novikova
48
Difference imbedding theorems for Sobolev spaces with weights and their applications
E. S. Smailov
52
New congruences in the topology of real plane algebraic curves
T. Fidler
56
Asymptotics of the solutions of a nonlinear Hilbert problem
M. A. Èfendiev
58

MECHANICS
Paradoxes in the mechanics due to the vibrations
V. N. Chelomey
62

GEOPHYSICS
Two types of calm in the seismo acoustic forecast
A. A. Berdyev, V. A. Mukhamedov
68
Changes of geomagnetic field connected with seismic activity in the Tashkent geodynamic region
G. A. Mavlyanov, Yu. P. Tsvetkov, E. Berdaliev, K. N. Abdullabekov
72
On the interrelation between the earthquake magnitude and thermodynamic parameters in seismic focus
L. I. Tuliani
74

MATHEMATICAL PHYSICS
Solution of a classical problem of electrostatics and the subtraction procedure
D. Ya. Petrina
78
Inverse problem of linear multivelocity transport theory
D. A. Shulaya
82

PHYSICS
Cooling of electron gas of a metal at high temperature
Yu. V. Martynenko, Yu. N. Yavlinskii
88

CRYSTALLOGRAPHY
On the interconnection between ground- and additional phases. Binary diagrams formed by transition elements
N. L. Smirnova, È. M. Berzon, Yu. S. Konyaev, N. V. Belov
97

Number 2

MATHEMATICS
On a problem of A. F. Leont'ev
A. V. Bratishchev
265
The spectrum and decompositions of a critical point of a function
A. N. Varchenko
267
Extension of local mappings of pseudoconvex surfaces
A. G. Vitushkin, V. V. Ezhov, N. G. Kruzhilin
271
On an aspect of the uniqueness problem for second-order parabolic equations
L. I. Kamynin, B. N. Khimchenko
274
The diameter and radius of the transportation polyhedron
M. K. Kravtsov
278
Sequential confidence sets
I. V. Pavlov
282
The Dirichlet problem for generalized solutions of a multidimensional Monge-Ampère equation of elliptic type
A. V. Pogorelov
285
Generalization of Calderón projections and boundary equations on the basis of the notion of precise trace
V. S. Ryaben'kii
288
On the general boundary value problem for a parabolic system
S. I. Temirbulatov
292
Program synthesis for a stochastic differential game
V. E. Tret'yakov
297

CYBERNETICS AND THE REGULATION THEORY
Adaptive suboptimal control of solutions of linear difference equations
V. A. Bondarko
301
Synthesis of dynamic algorithms for manipulation robot motion control
P. D. Krut'ko, N. A. Lakota, Y. P. Popov
303

THEORY OF ELASTICITY
Development of a mathematical model of hydroelastic processes in the problem of infarcts
I. F. Obraztsov, G. G. Avtandilov, A. S. Vol'mir, M. M. Suleimanova
306

GEOPHYSICS
On solving the inverse potential problem in the case of two-dimensional layered media
V. M. Devitsyn
309
Representation of the gravitational field using a hypercomplex potential
G. L. Shpilker
313

MATHEMATICAL PHYSICS
Black holes in neutrino fields
L. Yu. Blazhennova-Mikulich
317
Spatial averaging method for description of polydisperse systems based on generalization of an integral formula depending on a parameter
V. V. Kafarov, I. N. Dorokhov, È. M. Koltsova, Le Suan Khaĭ
321
Forced vibrations of an infinite elastic plate
P. E. Krasnushkin
325

Number 3

MATHEMATICS
Application of multidimensional logarithmic residue for representation in the form of the integral of the difference between the number of integer points in a domain and its volume
L. A. Aizenberg
521
Limit theorems for extreme terms of a variational series
B. V. Gnedenko, A. Sherif
523
A correcting algorithm for solving some discrete optimization problems
B. I. Gol'dengorin
525
On Coleman's principle for finding the stationary points of quadratic functionals
L. V. Kapitanski, O. A. Ladyzhenskaya
529
Convergence of the solutions of quasilinear parabolic equations with weakly converging coefficients
S. N. Kruzhkov, V. L. Kamynin
533
The consistency of Quine's system $\mathcal{N}F$
A. S. Kuzichev
537
Measurable utility theorems for closed and lexicographic preference relations
V. L. Levin
542
Symmetrization of invariant hyperbolic equations
T. Yu. Mikhailova
546
Two classes of statistical tests for invariance of distributions with respect to groups of linear transformations
. A. Pukhal'skii
551
On an approach to the investigation of degenerate hyperbolic equations
P. E. Sobolevskii, S. M. Semenov
555
Multidimensional Tauberian theorems of Karamata, Keldysh and Littlewood type
A. L. Yakymiv
558
Asymptotically optimal automata with growing memory
A. V. Kolnogorov
562

CYBERNETICS AND THE REGULATION THEORY
Search algorithms for criterial optimization under conditions of uncertainty
Ya. Z. Tsypkin, A. S. Poznyak, A. M. Pesin
565

FLUID MECHANICS
Stability of the flow of a viscoelastic liquid in a plane channel
G. V. Kireiko, V. N. Pilipenko
569

GEOPHYSICS
On the anomalous variations of water – oil ratio in the oil wells before the earthquakes
I. G. Kissin
574
Phase relations in the system $\mathrm{MgO}$$\mathrm{FeO}$$\mathrm{CaO}$$\mathrm{Al}_2\mathrm{O}_3$$\mathrm{SiO}_2$ in the transitional zone of mantle
O. L. Kuskov, R. F. Galimzyanov, N. I. Khitarov
577

MATHEMATICAL PHYSICS
On the dimension of turbulent motion attractors
V. N. Shtern
582

PHYSICS
On the calculation of the ponderomotive forces in an isolated electric circuit
A. V. Burov
586
On the theory of leading centers in active media
A. S. Mikhailov
590
Electronic phenomena in nonideal heterotransitions
A. Ya. Shik, Yu. V. Shmartsev
593

Number 4

MATHEMATICS
On a difference-approximation approach to the solution of systems of nonlinear equations
A. G. Birjukov
777
Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov–Whitman averaging method
B. A. Dubrovin, S. P. Novikov
781
The $\Sigma $-enumeration principle
Yu. L. Ershov
786
Some classes of nonlinear singular integro-differential equations
G. M. Magomedov, S. N. Yalalova
788
Contour-solid properties of holomorphic functions and mappings with bilogarithmically concave majorants
P. M. Tamrazov
791
On cardinal invariants of Suslin number type
V. V. Tkachuk
795

MECHANICS
Stability of a growing viscoelastic rod subjected to aging
N. Kh. Arutyunyan, V. D. Potapov
799
Influence of adhesion on the elastic properties of a dispersely filled composite
N. N. Knuniants, L. I. Manevich, V. G. Oshmyan, Yu. M. Tovmasyan, V. A. Topolkaraev
803
Mathematical modeling of elastoplastic deformation of dispersely filled composite materials
L. I. Manevich, V. G. Oshmyan, Yu. M. Tovmasyan, V. A. Topolkaraev
806
Well-posedness of initial-boundary value problems in the mechanics of ideally elastoplastic media
G. A. Seregin
810

AERODYNAMICS
Unstable oscillations in the flow of a viscous liquid through an infinite channel
E. V. Bogdanova, O. S. Ryzhov
814

FLUID MECHANICS
Calculation of steady two-dimensional turbulent flow in a curved channel
E. V. Dzhorogova, V. V. Novozhilov
819

THEORY OF ELASTICITY
Stress concentration in a circular cylindrical shell weakened by a large hole
A. N. Guz, V. N. Chekhov
824
Theory of torsion of prismatic bars for finite deformations
L. M. Zubov
827
Plastic dilatation and a fracture criterion under conditions of creep
V. V. Novozhilov, Yu. I. Kadashevich, O. G. Rybakina
831
Dynamics of the construction of helicopter rotor
I. F. Obraztsov, A. S. Vol'mir
835

ASTRONOMY
A point source of light in an absorbing and scattering plane layer
V. V. Sobolev
837

GEOPHYSICS
Thermoconvective oscillations of creeping-plastic mantle of the Earth
B. I. Birger
841
Recent mobilism and new data on multichannel (deep) seismic profiling of the ocean bottom
L. J. Kogan
845
The field of air absolute humidity in the zone of frontal divisions
M. Yu. Mezrin, V. E. Minervin, B. N. Sergeev
848
On the mathematical theory of the paleotectonic analysis
V. P. Myasnikov, V. O. Mikhailov
851
On the mechanism of solar corpuscular radiation influence upon the circulation of lower atmosphere
A. D. Sytinskii
855

MATHEMATICAL PHYSICS
A class of integro-summatory equations of diffraction theory
S. S. Vinogradov, V. P. Shestopalov
860
Representation of fields in the method of nonorthogonal series by sources in the complex plane
Yu. A. Eremin
864
Solution of the transport equation in a flat medium
A. Ya. Kazakov
867
On a method of obtaining the closed systems of equations for macro parameters of the distribution function at small Knudsen numbers
A. V. Lukshin
869

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{CsGa}_2\mathrm{H}(\mathrm{SeO}_3)_4\cdot2\mathrm{H}_2\mathrm{O}$
R. K. Rastsvetaeva, G. K. Petrova, V. I. Andrianov
882
Crystal structure of calcium pyrovanadate
V. K. Trunov, Yu. A. Velikodnyi, E. V. Murashova, V. D. Zhuravlev
886

Number 5

MATHEMATICS
Normal forms of Hamiltonian operators in field theory
A. M. Astashov
1033
An analogue of the first boundary value problem for an elliptic equation of order $2m$ with power degeneration on the boundary
B. L. Baĭdel'dinov
1038
On accessory coefficients in the Schwarz equation
A. B. Venkov
1042
On the implicativity of the lattice of truth-table degrees of algorithmic problems
M. I. Kanovitch
1046
Theorems on the solvability of nonlinear equations of the second kind and some applications
G. M. Magomedov, Kh. B. Khanikalov
1051
Uniform optimization of Monte Carlo weight methods. A minimax approach
G. A. Mikhailov
1054
Existence of a generalized solution of the Cauchy problem for a system of two quasilinear hyperbolic equations without convexity conditions
G. N. Pazin, V. A. Tupchiev
1058
Closed-form solvable boundary value problems of Riemann type for polyanalytic functions
K. M. Rasulov
1061
On minimum error probability in discriminant analysis
V. I. Serdobol'skii
1066
On linear equations with normal coefficients
V. S. Shulman
1070

CYBERNETICS AND THE REGULATION THEORY
Bayes estimates of vector quantities under conditions of small statistics
V. I. Sobolev
1074

MECHANICS
The theory of vibrations of composite materials with very small-scale bends in the structure
A. N. Guz
1078

FLUID MECHANICS
Exact solutions of a problem with free boundary for the Stokes system
L. K. Antonovskii
1082
Hydrodynamic formulation of geochemical problems with the movement of ground water having a free surface
E. S. Dzektser, N. P. Kuranov
1085
Parametric resonance in a stratified liquid in a container undergoing vertical vibrations
S. Ya. Sekerzh-Zen'kovich
1089

MATHEMATICAL PHYSICS
Modified likelihood function in the problem of the source angular coordinate determination using an antenna array
V. A. Varyuhin, V. I. Pokrovskii, V. F. Sakhno
1092
The Landau–Lifshits equation and integrable systems of classical mechanics
A. P. Veselov
1094
Nonscattering media
M. L. Gerver, N. S. Nadirashvili
1097
Inverse problems for linear radiative transfer in a plane medium
A. Ya. Kazakov
1100

PHYSICS
On the spontaneous onset of irregular or pulsing structures at the stratification of uniform state of the nonequilibrium systems
B. S. Kerner, V. V. Osipov
1104
Formation of plasma flows in a high-current diodes
V. D. Korolev, V. P. Smirnov, M. V. Tulupov, V. Ya. Tsarfin, A. S. Chernenko
1109

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Li},\mathrm{Fe}$-metaphosphate $\mathrm{LiFeP}_3\mathrm{O}_9$
E. A. Genkina, B. A. Maksimov, Yu. K. Kabalov, O. K. Melnikov
1113
Physicochemical investigation of synthetic malachite
I. V. Timokhina, V. S. Balitskii, A. A. Shaposhnikov, T. M. Bublikova, V. S. Kovalenko, G. L. Akhmetova, A. B. Dubovskii, T. G. Andreeva, T. V. Shironina
1117

Number 6

MATHEMATICS
Inductive Turing machines
M. S. Burgin
1289
Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface
A. N. Varchenko
1294
On integrability conditions for the Euler equations on $\mathrm{SO}(4)$
A. P. Veselov
1298
Scattering of plane elastic waves by a slender body with a free boundary
G. V. Zhdanova
1300
Determination of the right-hand side of the Helmholtz equation
A. S. Zapreev, V. A. Tsetsocho
1305
On a class of nonlinear programming problems
N. B. Zyabrev
1308
“Hessians” of integrals of the Korteweg–de Vries equation and perturbations of finite-zone solutions
I. M. Krichever
1312
Function spaces with a power weight
L. D. Kudryavtsev
1317
Arithmetic completeness of type-free logic
A. S. Kuzichev
1323
On Cartesian powers of $P_2$
V. A. Taimanov
1327
Continuation from a domain and approximation of spatial quasiconformal mappings with a small distortion coefficient
D. A. Trotsenko
1331
On the topology of a free locally convex space
V. V. Uspenskii
1334

CYBERNETICS AND THE REGULATION THEORY
Sufficient conditions for decomposability of control problems
T. I. Korotkova
1338
Complexity of probabilistic automata which recognize regular languages
I. A. Pokrovskaya
1340

MECHANICS
Propagation of flexural waves in noncircular cylinders with initial stresses
A. N. Guz, J. A. Musaev
1343
On lateral vibrations of ship shafting
A. S. Kel'zon, A. P. Zobnin, L. M. Malinin, E. I. Troshkov
1346
Factorization method in the calculation of three-dimensional flows of a viscous compressible gas
A. A. Prikhod'ko
1350

FLUID MECHANICS
Stability of separated flow on a surface with a point of fracture
A. V. Dovgal, V. V. Kozlov
1356

GEOPHYSICS
On the conditions of solution uniqueness for the plane inverse problems of the gravimetry and the magnetometry for polygons with variable density and magnetization
V. N. Strakhov, M. A. Brodskii
1359

MATHEMATICAL PHYSICS
Stability of one-dimensional stationary weakly supercritical structures
A. B. Konstantinov, B. A. Malomed, S. M. Golberg
1364

PHYSICS
On disturbances leading to the disconnected domains
Ya. B. Zel'dovich
1369
A new laser ferroelectric $\mathrm{Pb}_5\mathrm{Ge}_3\mathrm{O}_{11}$$\mathrm{Nd}^{3+}$
A. A. Kaminskii, G. D. Kursten, D. Schultze
1373
A divertor plasma with strong recycling
A. V. Nedospasov, M. Z. Tokar'
1376
Stable (quasi-equilibrium) amorphous systems
L. S. Palatnik, I. I. Fal'ko
1380
Generalized theory of temperature and concentration jumps in binary gas mixture near the surface of a liquid
Yu. I. Yalamov, M. N. Gaidukov, M. A. Melkumyan
1384

CRYSTALLOGRAPHY
Crystal structure of rubidium oxohydroxoosmate $(\mathrm{VIII})$, $\mathrm{Rb}[\mathrm{Os}_2\mathrm{O}_8(\mathrm{OH})]$
N. N. Nevsky, M. A. Porai-Koshits
1392

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