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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)

 Dokl. Akad. Nauk SSSR, Volume 272 (1983)

 Dokl. Akad. Nauk SSSR, Volume 273 (1983)

 Dokl. Akad. Nauk SSSR, Volume 274 (1984)

 Dokl. Akad. Nauk SSSR, Volume 275 (1984)

 Dokl. Akad. Nauk SSSR, Volume 276 (1984)

 Dokl. Akad. Nauk SSSR, Volume 277 (1984)

 Dokl. Akad. Nauk SSSR, Volume 278 (1984)

 Dokl. Akad. Nauk SSSR, Volume 279 (1984)

 Dokl. Akad. Nauk SSSR, Volume 280 (1985)

 Dokl. Akad. Nauk SSSR, Volume 281 (1985)

 Dokl. Akad. Nauk SSSR, Volume 282 (1985)

 Dokl. Akad. Nauk SSSR, Volume 283 (1985)

 Dokl. Akad. Nauk SSSR, Volume 284 (1985)

 Dokl. Akad. Nauk SSSR, Volume 285 (1985)

 Dokl. Akad. Nauk SSSR, Volume 286 (1986)

 Dokl. Akad. Nauk SSSR, Volume 287 (1986)

 Dokl. Akad. Nauk SSSR, Volume 288 (1986)

 Dokl. Akad. Nauk SSSR, Volume 289 (1986)

 Dokl. Akad. Nauk SSSR, Volume 290 (1986)

 Dokl. Akad. Nauk SSSR, Volume 291 (1986)

 Dokl. Akad. Nauk SSSR, Volume 292 (1987)

 Dokl. Akad. Nauk SSSR, Volume 293 (1987)

 Dokl. Akad. Nauk SSSR, Volume 294 (1987)

 Dokl. Akad. Nauk SSSR, Volume 295 (1987)

 Dokl. Akad. Nauk SSSR, Volume 296 (1987)

 Dokl. Akad. Nauk SSSR, Volume 297 (1987)

 Dokl. Akad. Nauk SSSR, Volume 298 (1988)

 Dokl. Akad. Nauk SSSR, Volume 299 (1988)

 Dokl. Akad. Nauk SSSR, Volume 300 (1988)

 Dokl. Akad. Nauk SSSR, Volume 301 (1988)

 Dokl. Akad. Nauk SSSR, Volume 302 (1988)

 Dokl. Akad. Nauk SSSR, Volume 303 (1988)

 Dokl. Akad. Nauk SSSR, Volume 304 (1989)

 Dokl. Akad. Nauk SSSR, Volume 305 (1989)

Dokl. Akad. Nauk SSSR, Volume 306 (1989)

Number 1
MATHEMATICS
Best quadrature formulas for some classes of differentiable functions
R. M. Aliev
11
Nonuniqueness of the solution of an ill-posed problem for the biharmonic equation
M. A. Atakhodzhaev
15
Cluster sets of multivalued mappings of topological spaces
S. A. Gomonov
20
Divergence in measure of general multiple orthogonal Fourier series
R. D. Getsadze
24
The complexity of computing the genus of a system of exterior differential equations
D. Yu. Grigor'ev
26
Sharp spectral asymptotics for the two-dimensional Schrödinger operator with a strong magnetic field
V. Ya. Ivrii
31
Complex periodic solutions of a system of differential-difference equations with small diffusion
S. A. Kaschenko
35
A mixing attractor in relaxation systems
A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov
38
Solution of boundary value problems of Riemann type for polyanalytic functions in the case of multiply connected domains
K. M. Rasulov
41
On differential-smoothness properties of functions in the space $W^lH^\omega_{p,r}(S^n)$ on a sphere
Kh. P. Rustamov
46
A general method for evaluating the metric characteristics of a graph that are connected with eccentricity
S. V. Yushmanov
52

FLUID MECHANICS
Hydraulic model of a spouting well
K. M. Magomedov
55

GEOPHYSICS
On the mechanism of formation and possibility of application for remote sensing of the brightness maximum ($\sim700$ nm) in spectra of water body radiation
A. A. Gitel'son, K. Ya. Kondrat'ev
60
A mechanism of electric field generation
V. A. Dubrovskii, N. N. Rusakov
64
Microwave-emission properties of various types of underlying at negative temperatures
K. Ya. Kondrat'ev, V. V. Melent'ev, V. Yu. Aleksandrov
67
On the effect of condensation.heat on the spectral distribution of energy of baroclinically unstable modes
L. T. Matveev, S. A. Soldatenko
70

MATHEMATICAL PHYSICS
A dynamical system of the process of biological nitrogen fixation in the regime of a strange attractor
V. P. Gachok, A. S. Zhokhin
75
Construction of new windows for signal processing based on atomic functions
V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev
78

PHYSICS
Optical properties of $\mathrm{TlSbS}_2$ single crystals
D. V. Gitsu, I. N. Grincheshen, V. F. Krasovskii, V. I. Morozova, N. N. Syrbu, N. S. Popovich
82
On the kinetic jumps on an evaporating surface
O. G. Stonik
86

CRYSTALLOGRAPHY
Localization of impurities in emerald, deduced from precision X-ray diffraction data and analysis of the electron density distribution
O. A. Evdokimova, E. L. Belokoneva, V. S. Urusov
95
Unusual conformation of glicinate cycle. Crystal- and molecular structure of [diethylenetriamine-$4$-monoacetato copper $(\mathrm{II})$] perchlorate
A. B. Ilyukhin, L. M. Shkol'nikova, A. L. Poznyak, N. M. Dyatlova
100
Ferroelastic twinning of crystal surfaces
V. P. Sakhnenko
103

Number 2

MATHEMATICS
Orthogonal bases of inner functions
A. B. Aleksandrov
265
$q$-analogues of Clebsch–Gordan coefficients, and the algebra of functions on the quantum group $SU(2)$
L. L. Vaksman
269
A Stefan problem with phase relaxation
I. A. Kaliev, E. N. Razinkov
272
Controllability of parabolic systems with impulse action
S. I. Lyashko, A. A. Man'kovskii
276
A method for solving polynomial equations in Banach spaces
O. V. Matveev
280
Ergodic theorems for homogeneous Markov chains
S. V. Nagaev
283
Averaging hyperbolic equations
R. K. Romanovskii
286
A lower bound for the time of addition of two numbers
I. K. Rystsov
290
Multipliers of Fourier series and approximation of functions by polynomials in the spaces $C$ and $L$
R. M. Trigub
292
The method of conjugate families in the theory of moduli
V. A. Shlyk
297

CYBERNETICS AND THE REGULATION THEORY
On VLSI design automation
S. N. Vasil'ev, S. G. Patrushev
301

FLUID MECHANICS
Estimates for parameters of barotropic-baroclinic instability of zonal flows on a $\beta$-plane
V. I. Shrira, V. G. Gnevyshev
305
Onset of oscillatory convection in a two-layer system due to the presence of a surfactant at the interface
A. A. Nepomnyashchii, I. B. Simanovsky
310

GEOPHYSICS
Seismic-gravity wobbles of the Earth and atmospheric pressure oscillations connected with them
E. M. Lin'kov, L. N. Petrova, D. D. Zuroshvili
314
Stressed-strained state of the Garm area earth crust upper part (Tadzhikistan)
A. A. Lukk, V. I. Shevchenko
317
On the distribution of zones of reduced elasticity in the Earth's mantle
M. Sh. Magid
321

MATHEMATICAL PHYSICS
Calculation of solutions of ill-posed stochastic algebraic equations by a regularized method of least squares
A. I. Zhdanov
324

PHYSICS
Investigation of electrical conduction mechanism of polyacene quinone by the dielectric-spectroscopy method
N. V. Afanas'ev, L. V. Mukhaeva, M. G. Voronkov, T. G. Ermakova, T. I. Vakul'skaya, V. A. Lopyrev
328
Interaction between superconductors and SHF field of different orientation
L. A. Blumenfeld, L. S. Lyubchenko, S. V. Stepanov, A. I. Tsapin
333
Contribution of a structural factor into optical spectra of fluorides
K. M. Devyatkova, O. N. Ivanova, V. V. Mikhailin, S. P. Chernov, T. V. Uvarova
334
Polarization structure of the images formed in the turbulent atmospheric channel
A. I. Deryugina, V. N. Kurashov, A. I. Mashchenko
339
On the effect of suppression of high-energy electron and positron coherent radiation in a crystal (theory and experiment)
N. V. Laskin, N. F. Shul'ga
344

CRYSTALLOGRAPHY
Coordination polyhedra of dual subdivisions of a three-dimensional sphere of rotations for the group $3\times 23$
V. I. Burdina
352
Magnetic properties and electronic structure of titanium-copper alloys
V. N. Eremenko, R. N. Mogilevskii, V. P. Linnik
355

Correction: “New systems and conservation laws of equations for elastic waves”
W. I. Fushchych, A. G. Nikitin
264

Number 3

MATHEMATICS
Estimates for coefficients of bounded univalent functions with rotational symmetry
I. A. Aleksandrov
521
Classification of del Pezzo surfaces with log-terminal singularities of index $\le 2$, and involutions on K3 surfaces
V. A. Alexeev, V. V. Nikulin
525
Asymptotics of the logarithm of the number of Boolean threshold functions
Yu. A. Zuev
528
Construction of quasivalues for weakly well-posed problems
V. K. Ivanov, I. V. Mel'nikova
530
Existence of stable initial manifolds for systems of nonlinear functional-differential equations
N. B. Konyukhova
535
Spectral problems for a system of ordinary differential equations that is not normal
Yu. A. Mamedov
540
Exactness of Novikov-type inequalities for the case $\pi_1M=\mathbf{Z}^m$ and for Morse forms whose cohomology classes are in general position
A. V. Pajitnov
544
A fast on-line code
B. Ya. Ryabko
548
Lattices in algebraic number fields
M. M. Skriganov
553

CYBERNETICS AND THE REGULATION THEORY
Observers and differentiators of the output of nonlinear systems
S. V. Emel'yanov, S. K. Korovin, S. V. Nikitin, M. G. Nikitina
556

AERODYNAMICS
Exact solution of the von Kármán–Fal'kovich equation that describes the separation from the corner point of a profile
V. N. Diesperov
561

FLUID MECHANICS
Intrinsic mass of a singular vortex pair
S. T. Belyaev, Yu. K. Krasnov
566
Modeling of heat transfer in turbulent flow regimes of a viscous incompressible liquid in a flat channel
S. G. Ponomarev, V. G. Priymak, B. L. Rozhdestvenskii
570

GEOPHYSICS
Reconstruction of ionospheric heterogeneities using the radio sounding
V. E. Kunitsyn, N. G. Preobrazhenskii, E. D. Tereshchenko
575

PHYSICS
Parametric free-electron laser based on the microtron
V. I. Alekseev, E. V. Alieva, K. A. Belovintsev, E. G. Bessonov, A. V. Serov, P. A. Cherenkov
580
Josephson effect in the semiconductor–superconductor-type eutectic alloy
M. I. Aliev, G. I. Isakov, F. Yu. Aliev, A. T. Eminzade
583
Boundary conditions for existence of “absolute black body”
V. I. Il'ichev, I. B. Bessonov, B. I. Bessonov, N. E. Khorosheva, L. I. Menshutkina
587
Description of the homogeneous nucleation kinetics based on the concept of quasiparticles
L. V. Malyukova, A. Ya. Babenko
590
Polariton theory of resonant Raman scattering in direct band gap cubic semiconductors (scattering by phonons
Nguyen van Hieu, Nguyen Hong Quang, Nguyen ai Viet
597
The problem of space-time parameters of quarks adronization?
S. I. Nikol'skii, A. P. Chubenko
601

CRYSTALLOGRAPHY
Crystal structure of a new $\mathrm{ZnIn}_2\mathrm{S}_4\mathrm{(VI)_a}$ polytype
A. V. Biyushkina, F. G. Donika, S. I. Radautsan
617
The $3\mathring{\mathrm{A}}$ resolution X-ray study of Micrococcus Lysodeikticus bacterium catalase
R. R. Melik-Adamyan, A. I. Grebenko, V. V. Barynin, E. F. Yusifov, A. A. Vagin, G. N. Murshudov, S. V. Rubinskii, B. K. Vaĭnshteĭn
620
Atomic structure $\mathrm{Bi}_{25}\mathrm{CaO}_{39}$ and the interpretation of selenite-type crystal structure
S. F. Radaev, L. A. Muradyan, Yu. F. Kargin, V. A. Sarin, E. È. Rider, V. I. Simonov
624

Number 4

MATHEMATICS
Asymptotic behavior of best approximations of individual functions of classes $W^rH_\omega$ in the metric $L_p$
O. V. Davydov
777
Curves of finite order and divisors with a maximal defect value
I. M. Dektyarev
781
Regularization of Volterra operator equations of the first kind with a boundedly Lipschitz-continuous kernel
S. I. Kabanikhin
785
Spectra of varieties
E. A. Palyutin
789
Optimal vector algorithms of the Monte Carlo method
A. V. Starkov
791
An analogue of the Riemann–Volterra formula for harmonic functions of several variables
Sh. Yarmukhamedov
795

CYBERNETICS AND THE REGULATION THEORY
The method of characteristic functions in stability theory
N. A. Magnitskii
799

MECHANICS
Wave mechanism for the acceleration of a liquid flowing in capillaries and porous media
R. F. Ganiev, L. E. Ukrainsky, K. V. Frolov
803
Peculiarities of long-term stability of shells, subjected to linearly increasing load
I. F. Obraztsov, S. A. Timashev, M. G. Malyukova
807
Geodesic deviation method in precise cosmic gravimetry
V. I. Khlebnikov
810

FLUID MECHANICS
On the interaction of unsteady waves with a rigid sphere in a compressible viscous fluid
A. N. Guz, A. S. Basmat
813

THEORY OF ELASTICITY
Solvability of boundary value problems of the equilibrium state of three-layer shells with a rigid core that transfers lateral shear
È. I. Grigolyuk, V. F. Vlasov, A. A. Yurkevich
817

GEOPHYSICS
Seismic data on the residual displacements at explosions and earthquakes
V. M. Graizer
822
Changes in emission signal spectra during the development of cracks and distraction of rocks
M. V. Kasyan, V. A. Robsman, G. N. Nikogosyan
826

MATHEMATICAL PHYSICS
On the calculation of an autocorrelation function of the random relief of a film surface
V. Z. Belen'kii
831
Invariant and partially invariant solutions of boundary value problems
E. M. Vorob'ev, N. V. Ignatovich, E. O. Semenova
836
On the modelling of flows in an inhomogeneous mantle with the boundary layer
V. P. Myasnikov, V. E. Fadeev
840

PHYSICS
Stabilization of optical activity of molecules embedded into low-temperature solids
Yu. A. Berlin, S. O. Gladkov, V. I. Gol'danskiĭ, V. V. Kuz'min
844
A method for the calculation of dielectric and magnetic permeability of percolation systems
A. P. Vinogradov, L. V. Panina, A. K. Sarychev
847
Diffusive passing of electromagnetic waves through a layer of highly conductive body
V. I. Il'ichev, I. B. Bessonov, B. I. Bessonov, L. I. Menshutkina, T. Yu. Kovaleva
851
Chiral fermion fields at high energies
V. G. Kadyshevskii, D. V. Fursaev
856
On the structure and dynamic features of quasi-static magnetic field at the surface of the sea
A. G. Karpenko, L. A. Lobachevskii, V. V. Lyubimov, V. V. Maĭorshin, V. V. Migulin, N. S. Ostroukhov
859
Dynamic structure of macroscopic theory of nonlinear fluctuations
V. B. Rogankov
862

Number 5

MATHEMATICS
Analysis of the stability of finite-difference schemes on a computer by means of symbolic transformations and optimization methods
E. V. Vorozhtsov, S. I. Mazurik
1033
New $M$-curves of degrees $8$ and $9$
A. B. Korchagin
1038
The method of infinite-dimensional normalization in the investigation of self-oscillatory solutions of a class of singularly perturbed boundary value problems
E. P. Kubishkin
1041
Iterative decomposition in dynamic problems with cross-constraints
I. S. Litvinchev
1046
The geometry of homogeneous Riemannian manifolds
E. D. Rodionov
1049
Homogeneous boundary value problems for a polyharmonic operator with boundary conditions on thin sets
V. I. Slobodin
1051
A minimax regularizing algorithm for solving an equation of convolution type
A. M. Fedotov, S. I. Lepshokov
1055
The Hasse principle for groups of type $E_8$
V. I. Chernousov
1059
The complexity of the construction of the ring of integers of a global field
A. L. Chistov
1063

CYBERNETICS AND THE REGULATION THEORY
A generalized method of instrumental variables in problems of the identification of linear objects
Ya. Z. Tsypkin, A. S. Poznyak
1068

FLUID MECHANICS
Instability and decay of electrified capillary jets
S. Ya. Gertsenshtein, P. M. Musabekov, A. Ya. Rudnitskii, Sh. N. Urazov
1073

GEOPHYSICS
Azimuthal anisotropy at the boundary of upper and tower mantle
L. P. Vinnik, R. Kind, G. L. Kosarev
1078
On the prediction of earthquakes
S. S. Grigoryan
1083
Energetic interpretation of the hypsographic curve of continents
S. S. Ivanov
1087
Spectral transparency of Baikal waters in the ultraviolet and visible range
G. S. Karabashev, A. F. Kuleshov, P. P. Sherstyankin
1091

MATHEMATICAL PHYSICS
Coating peeling due to the growth of a fatigue and corrosion crack
G. P. Cherepanov, A. G. Cherepanov
1095

PHYSICS
Interaction of longitudinal and transverse structures in a non-self-sustained discharge in mixtures $\mathrm{H}_2(\mathrm{D}_2)+\mathrm{Ar}$
A. V. Dem'yanov, I. V. Kochetov, A. P. Napartovich, A. F. Pal', V. D. Pis'mennyi, V. V. Pichugin
1099
Effective values of electromagnetic parameters for the layer of substance with properties of absolute black body
V. I. Il'ichev, I. B. Bessonov, B. I. Bessonov, L. I. Menshutkina
1103
Dimeric absorption of radiation behind the front and stability of shock waves in rare gases
N. M. Kuznetsov, S. D. Savrov
1106
Polariton theory of resonant Raman scattering in direct band gap cubic semiconductors (scattering by electrons in levels of neutral donors)
Nguyen van Hieu, Nguyen ai Viet
1110
The thermoelasticity of polymer crystal and the problem of fracture
V. V. Smirnov, Yu. P. Karpenko, L. I. Manevich, N. S. Enikolopyan
1114
NMR study of the real structure of nickel ferrite
V. B. Tyutyunnik, V. S. Abramov, V. P. Pashehenko, V. I. Arkharov
1118

CRYSTALLOGRAPHY
Structure and absolute configuration of dimethyl ether of $4$-(pyrimidme-$2'$-trifo)-$\mathrm{N}$-phthalyl-$\mathrm{L}$-glutamic acid
V. Kh. Kravtsov, V. N. Biyushkin, T. I. Malinovskii, I. M. Bukrina, V. P. Krasnov, L. V. Alekseeva
1126
Specific $\mathrm{C}-\mathrm{H}…\mathrm{O}$ interactions in the $1:2$ molecular complex of cis-anti-cis diastereomer dicyclohexano-$18$-crown-$6$ with maleic anhydride
M. S. Fonar, Yu. A. Simonov, A. A. Dvorkin, È. V. Ganin, S. A. Kotlyar, T. I. Malinovskii
1129

Number 6

MATHEMATICS
Single-valued solvability of an inverse problem for a parabolic equation
Yu. E. Anikonov, Yu. Ya. Belov
1289
Solution of the Dirichlet problem for the Poisson equation in a domain bounded by a polygon with a rounded corner
V. I. Vlasov, D. B. Volkov
1294
Relaxation parabolic systems
A. Yu. Kolesov
1297
A method for solving optimal control problems
E. N. Orel
1301
On the congruence subgroup problem for algebraic groups
A. S. Rapinchuk
1304
$K$-capacity and some of its applications in the theory of mappings with bounded distortion
V. A. Shlyk
1308

CYBERNETICS AND THE REGULATION THEORY
Increasing the reliability of parallel computations by the method of redundant variables
M. B. Ignat'ev, V. V. Fil'chakov, A. V. Smekalov
1311
Absolute stability in the mean square of continuous and discrete nonlinear stochastic automatic control systems. Algebraic coefficient criteria
D. G. Korenevskij
1316

MECHANICS
Shear surface wave in a semi space with piezo active layer and the control of its speed by magnetic field
V. Z. Parton, S. V. Ermakov, N. A. Senik
1320

FLUID MECHANICS
Determination of the mean parameters of sound in the Earnshaw problem at the stage of the saw-toothed wave
S. N. Makarov
1325

THEORY OF ELASTICITY
High-frequency resonance of a weighted ram
V. A. Babeshko
1328
Boundary integral equations of the interaction between thin-walled constructions and a continuous medium
L. I. Slepyan, S. V. Sorokin
1332
On the necessity of taking geometric nonlinearity into account in the problem of brittle fracture
K. F. Chernykh
1336

GEOPHYSICS
Spatial-temporal structure of earthquake migration and the seismic belts
I. V. Andronov, V. V. Zhadin, I. A. Potashnikov
1339
On the hydraulic features of filtration flow in the regions of its convergence and divergence
A. B. Kazansky, Yu. V. Belyaev
1343
A model of the composition of Kuril Islands middle part earth crust
V. A. Ermakov, T. K. Zlobin, A. I. Levykin
1347

MATHEMATICAL PHYSICS
On the existence of the $\mathrm{NO}$$\mathrm{GO}$ theorem for $N\ge1$ supersymmetry
A. A. Babich, V. I. Kuvshinov, F. I. Fedorov
1353
Effective characteristics of a medium with inclusions in a variable field
L. N. Germanovich
1356
Stability of stationary solutions of equations of a barotropic atmosphere with respect to linear approximation
A. A. Ilyin, A. N. Filatov
1362

PHYSICS
The role of noise in the development of the instability of a nonlinear system on the example of the Duffing oscillator
B. I. Barts, I. I. Lapidus, S. S. Moiseev
1366
Subtraction of images in the real time scale using liquid-crystal space-time light modulator
V. V. Belyaev, N. F. Kovtonyuk, V. S. Kupreichenko, S. B. Odinokov, A. I. Savin, V. G. Chigrinov
1372
Maxwell equation solution in layered media
V. I. Il'ichev, B. I. Bessonov, Yu. P. Zherdev, A. I. Solov'ev
1374
Modelling of microvoids in the deformed polymer crystals
V. V. Smirnov, L. I. Manevich, N. S. Enikolopyan
1377

CRYSTALLOGRAPHY
Calculation of anisotropic heat parameters of $\alpha$-quartz atoms
L. S. Dubrovinsky, Yu. Z. Nozik
1384

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