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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)

Dokl. Akad. Nauk SSSR, Volume 271 (1983)

Number 1
MATHEMATICS
A unified approach to the basic results on deficient values, Borel rays and filling circles
G. A. Barsegyan
11
Operators in spaces $L_p$, generated by random processes
M. Sh. Braverman
15
On incompleteness of the system of eigenelements of differential operators in a space of vector-valued functions
A. I. Vahabov
17
Optimization of quadrature methods of solving integral equations
B. G. Gabdulkhaev
20
Limit distributions for random walks in a random environment
A. O. Golosov
25
On the Milnor problem of group growth
R. I. Grigorchuk
30
Various forms of the continuity principle
M. D. Krol'
33
Some boundary value problems for ordinary differential equations in weight spaces
L. D. Kudryavtsev
37
Differential constraints and one-parameter groups of Lie–Bäcklund transformations
S. V. Meleshko
42
Uniqueness theorems for generalized cohomology theories
A. V. Pajitnov
47
Realization of functions from closed classes by schemes of functional elements in a complete basis
A. B. Ugol'nikov
49
Hamilton theory of steady-state differential equations with an elliptic pencil
I. V. Cherednik
51

MECHANICS
The elastic-plastic state of a conical tube
M. A. Zadoyan
56
Further development of the Galin problem with friction and adhesion
V. I. Mossakovskii, A. G. Biskup, L. V. Mossakovskaya
60

THEORY OF ELASTICITY
The dynamics of a tear-shear crack on the interface of two elastic materials
I. V. Simonov
65
Two-dimensional problems of stability and oscillations of shells of zero Gaussian curvature
P. E. Tovstik
69

GEOPHYSICS
Peculiarities of the radon content temporal variation in the subsoil atmosphere in seismically active zones of Western Fergana before the earthquakes of October 18 and December 11 (Nazarbek), 1980
A. K. Abduvaliev, V. K. Andreev, G. I. Voitov, N. K. Sergeev
72
On the possibility of visual control of the ozonosphere state from an orbital station
G. M. Grechko, N. F. Elansky, S. A. Savchenko, Yu. L. Terekhin
76
Generation of electromagnetic radiation during the oscillations of double electric layers and its manifestations at earthquakes
M. E. Perel'man, N. G. Khatiashvili
80

MATHEMATICAL PHYSICS
Features of the contrast dissipative structure formation
G. G. Yelenin, V. V. Krylov, A. A. Polezhaev, D. S. Chernavskii
84
Allowing for diffuse reflection in the solution of the vector transport equation
T. A. Sushkevich, S. A. Strelkov
89

PHYSICS
Nonequilibrium plasmochemical process of the $\mathrm{CO}_2$ decomposition in supersonic UHF discharge
R. I. Azizov, A. K. Vakar, V. K. Zhivotov, M. F. Krotov, O. A. Zinov'ev, B. V. Potapkin, A. A. Rusanov, V. D. Rusanov, A. A. Fridman
94
Magnetic flux losses during the formation of field-reversed plasma configuration
G. E. Vekstein
98

CRYSTALLOGRAPHY
Dislocations leave behind the germanium crystal growth front
A. A. Chernov, S. N. Maksimovskii, L. A. Vlasenko, E. N. Kholina, V. P. Martovitskii, V. L. Levtov
106

Number 2

MATHEMATICS
Fundamental solutions of some local and nonlocal boundary value problems and their representations
S. S. Akhiev
265
Block representations of operators and parallel computations in boundary-value problems for second-order linear equations
Yu. P. Boglaev
269
Complete integrability of some geodesic flows and integrable systems with noncommuting integrals
A. V. Brailov
273
Centralizers in matrix rings
A. I. Vahabov, B. A. Zeinalov
277
Linearization of local automorphisms of pseudoconvex surfaces
N. G. Kruzhilin, A. V. Loboda
280
Some categories and functors of Boolean-valued analysis
A. G. Kusraev
283
The method of approximate spectral projection as a general method for proving the classical formula for the asymptotic behavior of a spectrum
S. Z. Levendorskii
287
Solution of the Riemann boundary value problem for a system of $N$-pairs of functions
V. D. Luk'yanov
291
On the problem of normal oscillations of a viscous capillary fluid in a vessel
M. B. Orazov
293
On the possible nonuniqueness of solutions of the Monge-Ampère equation on a sphere
È. R. Rozendorn
297
Investigation of the asymptotically Newtonian model of a fluid
P. E. Sobolevskii
300
Two theorems on implicitly given estimates
T. M. Televinova, V. P. Chistyakov
305

CYBERNETICS AND THE REGULATION THEORY
Graphical criteria for absolute stability and absolute instability of nonlinear control systems
V. A. Yakubovich
307

MECHANICS
Distribution of the electric current in a sectionalized channel with highly changing conduction
M. S. Benilov
311

AERODYNAMICS
Calculation of macroscopic parameters in the Monte Carlo method of direct statistical modeling
A. A. Abramov
315

THEORY OF ELASTICITY
Torsion of an elastic rod of circular cross section weakened by an arbitrary number of radial cracks which reach to the surface
A. S. Silbergleit, I. B. Suslova
319

GEOPHYSICS
First Soviet – Finnish experiment with the recording of MHD generator signals
E. P. Velikhov, G. I. Gorbunov, Yu. M. Volkov, B. P. Zhukov, L. L. Vanyan, T. A. Demidova, A. A. Zhamaletdinov, S. È. Hjelt, Ya. Heikka
324
Infrasound and internal gravitational waves in the atmosphere at large fires
Yu. A. Gostintsev, E. A. Ivanov, Yu. V. Shatskikh
327
On the dependence of earthquake preparation time on the earthquake energy
M. A. Sadovskii, V. F. Pisarenko
330

MATHEMATICAL PHYSICS
On the solution of Cauchy problem for the Schrodinger equation of relativistically free particle
K. L. Samarov
334
On a solution of Lagrange problem
A. P. Seyranian
337

PHYSICS
On high-temperature physicochemical processes in storm atmosphere
G. P. Gladyshev
341
Influence of fluorescence decay time on the echo-signal kinetics in natural water laser monitoring
A. A. Demidov, V. V. Fadeev
344

CRYSTALLOGRAPHY
Crystal structure of diorthosilicate, $\mathrm{NaBaNd}[\mathrm{Si}_2\mathrm{O}_7]$
S. V. Baturin, Yu. A. Malinovskii, O. S. Bondareva
349

Number 3

MATHEMATICS
Some stochastically regularizing algorithms based on a difference representation of a quasioptimal measure
V. B. Glasko, Yu. A. Kriksin
521
Preservation of ANR$(\mathfrak{M})$-spaces and infinite-valued manifolds by some covariant functors
M. M. Zarichnyi
524
Operators of substitution with a weight in Banach modules over uniform algebras
A. K. Kitover
528
Ground states of quasiperiodic operators
S. M. Kozlov
532
Boundary properties in subclasses of functions of bounded type
Zh. Pavicevic
537
On the dimension of projections of compacta, lying in $\mathrm{R}^{n}$, and uniformly separating families of functions
N. V. Savinov
543
On overdetermined elliptic boundary value problems with a parameter and overdetermined parabolic boundary value problems
S. N. Samborskii
544

CYBERNETICS AND THE REGULATION THEORY
Optimal estimation and optimal identification of nonlinear discrete dynamical systems
I. S. Ukolov, V. V. Bek, A. R. Makhlin
550

MECHANICS
A class of motions of the Kovalevskaya top
A. I. Dokshevich
554
Determination of residual stresses by the method of holographic interferometry using one hologram
L. M. Lobanov, B. S. Kasatkin, V. V. Pivtorak, S. G. Andrushchenko
557

AERODYNAMICS
Boundary layer with self-induced pressure in transonic flow over a corner point of a profile
V. N. Diesperov
562

FLUID MECHANICS
Propagation of a shock wave to large distances
A. L. Gonor, V. N. Likhachev
567
Natural frequencies of internal waves in a liquid with an arbitrary Brunt–Väisälä frequency
S. V. Nesterov
570
Electrohydrodynamic models and methods for calculating the electrification of organic liquids flowing in pipes
L. T. Chernyi
573

THEORY OF ELASTICITY
Nonlinear antiplane deformation of a body weakened by a cut in the shape of a lune
Z. N. Litvinenkova
578

GEODESY
Equivalent oblique and transverse polypseudo conical projections for the world maps
T. I. Tolstova
581

GEOPHYSICS
On the averaging of the thermodynamic parameters of two-phase media
M. A. Grinfel'd
584
Migration of the electromagnetic fields in geoelectric inverse problem solutions
M. S. Zhdanov, M. A. Frenkel'
589
Tidal evolution of the Earth–Moon system during the excitations of tides in the World Ocean
B. A. Kagan
594
On the dependence of earthquake energy on the seismic focus volume
M. A. Sadovskii, V. F. Pisarenko, V. V. Steinberg
598

MATHEMATICAL PHYSICS
Proof of the Geroch conjecture for electromagnetic and neutrino fields in general relativity
N. R. Sibgatullin
603

PHYSICS
Stability of flows of a homogeneous atmosphere of finite thickness
S. V. Bazdenkov
608
Optical bistability in $\mathrm{GaSe}$
A. M. Bakiev, V. S. Dneprovskii, Z. D. Kovalyuk, V. A. Stadnik
611
Modelless description of time evolutions of the population of excited state of donors during their interaction with acceptors in a cubic crystal
S. N. Perepechko, Yu. S. Privis, V. P. Sakun, V. A. Smirnov, I. A. Shcherbakov
615

Number 4

MATHEMATICS
Boundary values of functions homomorphic in the ball
A. B. Aleksandrov
777
Integrals over nilpotent orbits and representations of Weyl groups
V. A. Ginzburg
780
The rate of convergence in $W^1_{2,h}$ of the variational-difference method for elliptic equations
A. A. Zlotnik
784
Bounding the diameter of a distance-regular graph
A. A. Ivanov
789
An investigation of the dispersion equations in the spectral method
A. S. Il'inskii, M. M. Mutallimov
793
Function classes of Lizorkin-Triebel type in domains with Lipschitzian boundary
G. A. Kalyabin
795
A coercive estimate of the rate of convergence of an approximate solution of the second boundary value problem
V. A. Rukavishnikov
798
On Bäcklund transformations for integrable evolution equations
S. I. Svinolupov, V. V. Sokolov, R. I. Yamilov
802
Extension of quasiconformal mappings of a plane with minimal coefficient
V. I. Semenov
805
Simultaneous approximations of cubic irrationalities by rational numbers
B. F. Skubenko
809
On the cohomology of nilpotent algebras of flows
B. L. Feigin, A. Fialowski
813

FLUID MECHANICS
Numerical investigation of turbulent detached flow in an array of profiles
A. L. Dorfman
817
Filtration through coffer-dams with vertical generatrices
I. I. Lyashko, G. E. Mistetskiy, N. I. Chernyi
820
Electrization of metallic bodies in aerosol flows with crush of solid dispersed particles by collisions with a body
L. T. Chernyi
824

THEORY OF ELASTICITY
Formulation of plane contact problems of elasticity theory with wear of the interacting bodies
V. M. Aleksandrov
827
A dynamical problem of elasticity theory for a region with curved cuts (plane deformation)
L. A. Fil'shtinskii, L. V. Volkova
831

GEOPHYSICS
Long-term forerunners of strong earthquakes in Italia
A. M. Gabrièlov, M. Kaputo, V. I. Keilis-Borok, R. Konsole, T. V. Sidorenko
835

MATHEMATICAL PHYSICS
On the localized waves in cold inhomogeneous plasma
A. L. Krylov, A. E. Lifshits
838
Boundary value problems of the moment theory of elasticity in regions with cracks
M. D. Martynenko, D. P. Yushchenko
841
Diffraction of the $H$-polarized electromagnetic waves by a thin semitransparent cylindrical shell
V. V. Panasyuk, M. P. Savruk, Z. T. Nazarchuk
845

PHYSICS
Simultaneous determination of the sea water temperature and salinity by the method of laser infrared spectroscopy
A. Yu. Bekkiev, T. A. Gogolinskaya, V. V. Fadeev
849
The theory of charge exchange into exited states at ion – atom collisions
E. L. Duman, N. P. Ticshenko, I. P. Shmatov
853
Overnormed theory of hydrodynamic turbulence
S. S. Moiseev, R. Z. Sagdeev, A. V. Tour, V. V. Yanovskii
856
Spectrum of particles at great depths during the passage of a narrow beam of fast charged particles through a substance
V. S. Remizovich, D. B. Rogozkin, M. I. Ryazanov
860

Number 5

MATHEMATICS
Covariant functors, retracts, and dimension
V. N. Basmanov
1033
A variational problem with retarded argument and its relation to some semigroup of mappings of a segment into itself
L. A. Beklaryan
1036
On the algebra generated by two-dimensional integral operators with Bergman kernel and piecewise continuous coefficients
N. L. Vasilevskii
1041
Estimation of the mean number of steps in the simplex method, and problems of asymptotic integral geometry
A. M. Vershik, P. V. Sporyshev
1044
An irreducible simply connected algebraic curve in $\mathbf{C}^2$ is equivalent to a quasihomogeneous curve
M. G. Zaidenberg, V. Ya. Lin
1048
The parametric method and extremal conformal mappings
V. V. Goryainov
1052
The weighted Korn inequality and some iteration processes for quasilinear elliptic systems
A. I. Koshelev
1056
Approximation on the sphere in $L_2$
P. I. Lizorkin, S. M. Nikol'skii
1059
The maximum principle for generalized solutions of the equation $\theta(\nabla z,ż, x)\det(z_{ij})=\varphi (x)$
A. V. Pogorelov
1064
Limit theorems for multidimensional critical branching processes with immigration
S. M. Sagitov
1066
The integration of multivalued mappings
E. S. Polovinkin
1069
A. N. Tikhonov's theorem for singularly perturbed systems
M. M. Khapaev
1074
The degree of smoothness of horospheres, radial fields, and horospherical coordinates on a Hadamard manifold
S. A. Shcherbakov
1078

CYBERNETICS AND THE REGULATION THEORY
Linear test algorithm of pattern recognition
V. I. Pereiaslavskii
1083

MECHANICS
Relation between the autoacoustic emission and the predestruction state of a crystal
V. N. Bovenko
1086
Frequency-coincident resonances of sound absorption and amplification in the widening waveguide with gas flow
A. Ya. Gokhshtein
1090

FLUID MECHANICS
Nonsteady regimes of convective combustion of a porous powder-like propellant
I. Sh. Akhatov, P. B. Vainshtein, R. I. Nigmatulin
1096

GEOPHYSICS
On the mechanism of spreading in active marginal seas
A. S. Monin, O. G. Sorokhtin
1101
On a possible cause of the winter disturbance of the ionospheric $\mathrm{D}$ region
Z. Ts. Rapoport
1103

MATHEMATICAL PHYSICS
A modification of the WKB method
N. E. Maltsev
1108

PHYSICS
On the relation between dielectric anomalies in ferroelectric crystals and isofrequency temperature dependencies of Raman scattering
A. A. Adkhamov, V. S. Gorelik, B. S. Umarov, M. Umarov
1112
On the energy of small metallic particles
N. S. Lidorenko, S. P. Chizhik, N. T. Gladkikh, L. K. Grigor'eva, P. N. Kuklin
1116
MGD processes at the initial stage of the explosive emission
V. V. Loskutov, A. Luchinsky, G. A. Mesyats
1120
Electrophysical properties of a number of composites based on dispersed molybdenum in the polymer matrix (SAM)
A. A. Ovchinnikov, È. V. Khlystunova, Yu. S. Mardashev, A. A. Khoroshilov
1123
Relation between the optical properties of oxide scale and its growth kinetics at laser ignition and combustion of a metal
A. M. Prokhorov, O. G. Buzykin, A. V. Burmistrov, M. N. Kogan, V. I. Konov, V. G. Ral'chenko
1126

CRYSTALLOGRAPHY
Determination of the coefficients of the crystal density single-electron matrix representation from X-ray diffraction data
Yu. V. Alexandrov, V. G. Tsirelson, R. P. Ozerov
1130
Structure formation of the natural mineral analogs and synthetic phases in the hydrothermal system $\mathrm{NaOH}$$\mathrm{ZrO}_2$$\mathrm{SiO}_2$$\mathrm{H}_2\mathrm{O}$
G. D. Ilyushin, L. N. Dem’yanets, V. V. Ilyukhin, N. V. Belov
1133

Number 6

MATHEMATICS
The dimension of attractors of the Navier–Stokes system and other evolution equations
A. V. Babin, M. I. Vishik
1289
On criteria for weak generalized localization in $N$-dimensional space
I. L. Bloshanskii
1294
The initial-boundary value problem for a multidimensional second-order system of composite type
A. Dzhuraev
1298
Formulas of vector analysis in a Banach space
E. I. Efimova, A. V. Uglanov
1302
On questions of extension and restriction of operators
B. K. Kokebayev, M. Otelbaev, A. N. Shynybekov
1307
The Riemann theorem in function spaces
P. A. Kornilov
1310
The absolute stability of systems with several nonlinear components
M. A. Krasnosel'skii, A. V. Pokrovskii
1314
Generalization of the Tikhonov theorem to the case of a purely imaginary spectrum
S. A. Lomov, V. A. Strizhkov
1317
Characteristic classes of solutions of differential equations
V. V. Lychagin
1320
Canonical correlations and canonical functionals for a stationary random process with power spectral density
M. I. Fortus
1325
On pro-$p$-groups of cohomology dimension two
V. M. Tsvetkov
1329
Cardinal invariants of topological fields
D. B. Shakhmatov
1332
The notion of $(\alpha,\beta)$-stochasticity in Kolmogorov's sense and its properties
A. Kh. Shen'
1337

MECHANICS
Mechanical stresses as a factor in morphogenesis
A. V. Melikhov, S. A. Regirer, A. A. Shtein
1341

PHYSICS
S. Logarithmic perturbation theory for screened Coulomb potential
S. P. Alliluev, V. S. Popov
1345
$P$-odd interaction of pions with quarks and the formation of muon pairs in hadron collisions
A. I. Akhiezer, M. P. Rekalo
1349
Stable reduction of the molecular spectra to an ideal device
K. M. Grushetskii, A. A. Akhrem
1353
Visible generation on waves of five intermultiplet transitions of $\mathrm{Pr}^{3+}$ ion in $\mathrm{LiYF}_4$
A. A. Kaminskii
1357
Nonlinear phenomena in a bulk semiconductor with a superlattice in the 8-millimeter wave range
A. A. Kostenko, O. A. Kuznetsov, V. A. Tolomasov, O. N. Filatov, G. I. Khlopov, V. P. Shestopalov
1360
Statistical method of the determination of polyatomic molecule state number
N. M. Kuznetsov
1363
On the limits of using quasi-stationary method in calculations of the dynamics of critical heat flux in steam-generating channels
V. S. Polonskii
1366
Thermal expansion of some refractory metal compounds
E. M. Savitskii, I. V. Burov, N. A. Tomilin
1370
Deviation of a light beam, refracted in an absorbing (enhancing) isotropic medium, from the incidence plane
F. I. Fedorov
1373

CRYSTALLOGRAPHY
Crystal structure $\mathrm{Na}_4\mathrm{Zr}_2\mathrm{Ge}_5\mathrm{O}_{16}\cdot\mathrm{H}_2\mathrm{O}$
G. D. Ilyushin, V. V. Ilyukhin, N. V. Belov
1384
The crystal structure of a new ferroelectric $\mathrm{RbLiMoO}_4$
A. I. Kruglik, R. F. Klevtsova, K. S. Aleksandrov
1388

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