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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)

Dokl. Akad. Nauk SSSR, Volume 307 (1989)

Number 1
MATHEMATICS
Nonlinear boundary value problems and the existence of stationary states of heating control systems
S. A. Brykalov
11
The Christoffel–Schwarz formula for polyhedral surfaces
I. M. Grudskii
15
Probabilistic inference in prediction systems
E. Ya. Dantsin, V. Ya. Kreinovich
17
Eigenvalues of some classes of integral operators
R. Ya. Doktorskii
21
Spectral synthesis for the multiple differentiation operator
I. F. Krasichkov-Ternovskii, A. B. Shishkin
24
Uniform approximations and zeros in short intervals of the derivatives of the Hardy function
A. A. Lavrik
28
On the Whitehead groups and the Kneser–Tits conjecture for spinor groups
A. P. Monastyrnyi, V. I. Yanchevskii
31
Solvability of the Stefan contact problem
E. V. Radkevich
36
Irreducible representations of the algebra of functions on the quantum group $\mathrm{SU}(n)$ and Schubert cells
Ya. S. Soibel'man
41
On the structure of the domain of degeneration of a system of quasilinear parabolic equations
N. V. Khusnutdinova
45
Generalized braid groups and local $r$-matrix systems
I. V. Cherednik
49

CYBERNETICS AND THE REGULATION THEORY
Two-level method of optimal adaptive control of discrete-continuous production processes of a perishable multiproduct mix
V. V. Kafarov, L. G. Koshelev, V. P. Meshalkin
54
Absolute (with respect to nonlinearity and delay) stability in the mean square of stochastic differential-difference systems of automatic control
D. G. Korenevskij
58

MECHANICS
Penetration of a slender body with a star-shaped cross-section into an elastic half-space
N. A. Ostapenko
62

GEOPHYSICS
Method and software realization of seismic phenomena automatic detection and localization by single three-component station in real time
O. K. Kedrov, A. I. Nemytov, N. N. Kalinina, O. P. Villemson
67
A new type of creeping waves propagating around rough sphere
Yu. P. Lysanov, Yu. Yu. Popov
73
On the three stages of the Earth's tectonic evolution
O. G. Sorokhtin, S. A. Ushakov
77

MATHEMATICAL PHYSICS
Diffraction of $H$-polarized electromagnetic waves by a cylinder with a metallic covering
V. V. Panasyuk, M. P. Savruk, Z. T. Nazarchuk, A. Ya. Teterko
84
Large-scale heat transfer between ocean and atmosphere during annual cycle
A. E. Roshdestvensky, S. S. Lappo
88

PHYSICS
Control of millimeter- and submillimeter wave radiation via its interaction with semiconductor plasma
A. D. Antonyuk, A. G. Dyachenko, R. I. Ekzhanov, N. V. Karlov, I. N. Sisakyan, V. A. Skorik, A. B. Shvartsburg, A.V. Shepelev
92
Quadratic scattering of electron on monophoton states
V. B. Braginskii, S. P. Vyatchanin
96
On a possible mechanism of cold nuclear fusion
P. I. Golubnichiĭ, V. A. Kurakin, A. D. Filonenko, V. A. Tsarev, A. A. Tsarik
99
Microplasma instability in alternating electric field
A. M. Namayunas, Yu. K. Pozhela, A. V. Tamashyavichyus
102

CRYSTALLOGRAPHY
Crystal structure of a new natural sodium titanosilicate
E. V. Sokolova, R. K. Rastsvetaeva, V. I. Andrianov, Yu. K. Egorov-Tismenko, Yu. P. Menshikov
114

Number 2

MATHEMATICS
The problem of the minimum of the Green energy for three-dimensional capacitors
N. V. Zorii
265
Short-wave bifurcations in systems with small diffusion
S. A. Kaschenko
269
The projective limit of vector measures
A. G. Kusraev, S. A. Malyugin
273
Complexity and rank of homogeneous spaces and the co-isotropy representation
D. I. Panyushev
276
Uniform invertibility of regular approximations of one-dimensional singular integral operators with piecewise continuous coefficients
V. S. Pilidi
280
Algebraic independence of values of hypergeometric $E$-functions
V. Kh. Salikhov
284
Some problems for multidimensional diffusion processes
A. L. Skubachevskii
287
Factorization of piecewise constant matrix functions with $3$ points of discontinuity in the classes $L_{p,\rho}$ and some of its applications
I. M. Spitkovsky, A. M. Tashbaev
291
$C_p$-capacity and normal domains
V. A. Shlyk
297

CYBERNETICS AND THE REGULATION THEORY
Measures of unpredictability of binary sequences
A. V. Pokrovskii
300
Mathematical bases of the correction of the $LU$ decomposition of basis matrices in large-scale optimization systems
A. B. Yadykin
304

AERODYNAMICS
Structure of wave disturbances developing in a boundary layer with self-induced pressure in thin films
S. P. Popov
309
A three-dimensional boundary layer on thin wings of finite span
A. D. Khon'kin, V. I. Shalaev
312

THEORY OF ELASTICITY
Asymptotic properties of an approximate solution of a class of dual integral equations
S. M. Aizikovich, I. S. Trubchik
316
On the nonlinear theory of brittle fracture
Le Khan Chau
321

GEOPHYSICS
On the problem of dynamic fracture of cracked layered bodies
V. A. Babeshko
324
On the connection between endogenous mineralization and the identification results concerning seismically dangerous intersections of lineaments
A. D. Gvishiani, A. I. Gorshkov
328
A three-dimensional model of atmosphere and ocean in a typhoon region
I. D. Ginis, H. Zh. Dikinov, A. P. Khain
333
Investigation of rock deformation features by a nonlinear acoustic parameter
G. P. Zinov'eva, I. I. Nesterov, E. L. Zhdakhin, È. È. Artma, Yu. V. Gorbunov
337
Experimental check of linearity in seismology
V. S. Solov'ev
341
Results of physical modeling of the horizontal compression of lithosphere
A. I. Shemenda
345

MATHEMATICAL PHYSICS
The attractor of a bilocal model of the Hutchinson equation with diffusion for a large coefficient of linear growth
S. D. Glyzin, Yu. S. Kolesov
351
Energy changes accompanying first-order phase transitions with small inherent deformation in solids
M. A. Grinfel'd
354
Solution of a problem of the relief evolution of a light boundary layer floating on an inhomogeneous half space
V. P. Myasnikov, V. E. Fadeev
357
A two-dimensional inverse problem for a system of dynamical Lamé equations
V. G. Yakhno
360

PHYSICS
Auger spectra of boron and nitrogen in sphalerite and hexagonal boron nitride
V. G. Aleshin, O. P. Bugaets, N. V. Novikov, A. A. Smekhnov
363
Stochastic quantization
F. A. Tselnik
365
Emission of neutrons at plastic deformation of deuterium-containing solids under pressure
M. A. Yaroslavskii
369

Number 3

MATHEMATICS
Integral geometry and the structure of Riemannian spaces
Yu. E. Anikonov, L. N. Pestov
521
Conditions for hypo-ellipticity and estimates for the rate of mixing for stochastic differential equations
A. Yu. Veretennikov
524
Integer programming problems with a vector criterion. Parametric analysis and a study of stability
L. N. Kozeratskaya, T. T. Lebedeva, T. I. Sergeenko
527
The choice of parameters in generators of pseudorandom numbers
M. B. Levin
529
An interpolation formula of Newton type for nonlinear functionals
V. L. Makarov, V. V. Khlobystov
534
Optimal constants in some Sobolev inequalities and their applications to the nonlinear Schrödinger equation
Sh. M. Nasibov
538
Integral representations of convex bodies
G. Yu. Panina
543
The rate of convergence in a central limit theorem in the space $D[0,1]$
V. I. Paulauskas, D. B. Yuknyavichene
545
Asymptotic finite dimensionality of semilinear parabolic equations
A. V. Romanov
548
Models of the polynomial representations of the Lie superalgebra $\mathfrak{gl}(m,n)$
M. L. Sitnikov
552

CYBERNETICS AND THE REGULATION THEORY
Diagnosis of dynamic systems with nonlinear and nonstationary elements
E. K. Kornoushenko
557
On the controllability of linear systems with distributed parameters
B. Sh. Shklyar
560

FLUID MECHANICS
The onset of turbulence
V. V. Struminskii
564

GEOPHYSICS
Crystallization of supercooled water drops under the action of infrared resonance radiation of ice
N. A. Dubrovich
568
A mechanism of vibroaction on the finite oil recovery from reservoirs and the dominant frequencies
V. N. Nikolaevskii
570
Segregation of hydrocarbon fluid and water in porous medium in the presence of elastic waves
A. B. Pogosyan, È. M. Simkin, È. V. Stremovskii, M. L. Surguchev, A. I. Shnirel'man
575

MATHEMATICAL PHYSICS
Edge transmission lines with dielectric cover of edge
V. V. Kryzhanovskii, A. E. Svezhentsev, V. P. Shestopalov
578

PHYSICS
CW laser-stimulated selective extraction of copper and cobalt
T. V. Belyaeva, F. V. Bunkin, V. M. Savostina, G. A. Shafeev
583
On temperature hysteresis of phase transformations of melting–crystallization type
A. V. Gorokh, V. I. Arkharov
587
On the self-switching of orthogonally polarized coupled wave
A. A. Mayer, K. Yu. Sitarskiĭ
592
Lattice constant of cadmium sulfide single crystals grown at various vapour pressures of proper components
M. Yu. Rebrov, V. T. Bublik, V. A. Teplitskiy, E. V. Markov
597
Nuclear reactions initiated by temperature changes and phase transitions in condensed matter
M. A. Yaroslavskii
600

CRYSTALLOGRAPHY
Neutron diffraction study of the atomic structure of single crystals $\mathrm{Bi}_{12}(\mathrm{V,Bi})\mathrm{O}_{20+x}$
S. F. Radaev, L. A. Muradyan, V. A. Sarin, V. N. Kanepit, A. N. Yudin, A. A. Mar'in, V. I. Simonov
606
X-ray diffraction study of $\mathrm{P}$-tert.-butylthio-$\mathrm{N}$-[$2$, $4$, $6$-tri-(tert.-butyl) phenyl] iminophosphine
A. N. Chernega, M. Yu. Antipin, Yu. T. Struchkov, A. V. Ruban, V. D. Romanenko, L. N. Markovskii
610

Number 4

MATHEMATICS
Functional limit theorems for semimartingales in a convex domain
S. V. Anulova
777
An algorithm for the factorization of polynomial matrices
F. A. Aliev, B. A. Bordyug, V. B. Larin
781
Normal deformations of variational problems
N. A. Bobylev, M. A. Krasnosel'skii
785
Calculations in Chevalley groups over commutative rings
N. A. Vavilov, E. B. Plotkin, A. V. Stepanov
788
Algebraic and topological invariants of oriented matroids
I. M. Gel'fand, G. L. Rybnikov
791
Analytic semigroups and cosine functions
V. A. Kostin
796
A class of games possessing stable outcomes
N. S. Kukushkin
799
Asymptotics of eigenvalues under weak perturbation of normal operators
E. A. Larionov
802
Two new qualitative properties of the Riemann function
M. E. Lerner
807
Axioms of Riemannian geometry
I. G. Nikolaev
812
On the upper envelope of a family of rational functions, not exceeding one on the unit circle, having fixed poles and a fixed zero
P. M. Yuditskii
815

FLUID MECHANICS
On the asymptotic stage of Rayleigh–Taylor instability
S. Ya. Gertsenshtein, V. M. Chernyavskiy, Yu. M. Shtemler
819

THEORY OF ELASTICITY
Wave propagation in media with thin layers
L. A. Nazarov
824

ASTRONOMY
Dating the Almagest by variable star configurations
V. V. Kalashnikov, G. V. Nosovskii, A. T. Fomenko
829

GEOPHYSICS
Earth tides as a tectonic pump and vibrator
N. A. Shilo, Yu. Ya. Vashchilov
833

MATHEMATICAL PHYSICS
The Bogolyubov–Mitropol'skii reduction principle in the problem of parametric excitation of autowaves
A. Yu. Kolesov, Yu. S. Kolesov
837
Microtomography of semiconductor structure in the regime of induced current
S. K. Likharev, E. I. Rau, V. P. Trifonenkov, A. G. Yagola
840
Interaction of short waves in the barotropic atmosphere
G. A. Omel'yanov
844

PHYSICS
Some features of the tunneling into metal-oxide ceramics
V. G. Bar'yakhtar, M. A. Belogolovskii, V. M. Svistunov, A. I. Khachaturov
850
Correlation function of the stochastic motion of a two-dimensional nonlinear oscillator
P. V. Elyutin
854
Resonance properties of an ellipsometer open resonator
A. P. Koretskii, V. P. Shestopalov
857
Three-dimensional magnetic self-insulation and stochasticity
O. V. Telkovskaya, V. V. Yan'kov
861

Number 5

MATHEMATICS
A generating matrix function in problems of the control of the vibrations of connected strings
S. A. Avdonin, S. A. Ivanov
1033
Three-dimensional manifolds of nonpositive curvature containing Euclidean planes
S. V. Buyalo
1037
Inverse problems for nonlinear ordinary differential equations
A. M. Denisov
1040
Solution of a multifactor nonlinear problem of optimal planning
A. A. Egorushkin, N. B. Zyabrev
1042
Construction of approximate solutions of singular integral equations of the second kind
A. F. Matveev
1046
Minimax solutions of equations that determine the variances of weight estimates of the Monte Carlo method
G. A. Mikhailov
1050
The quasilinear generalized Cauchy–Riemann system with several independent variables
L. G. Mikhailov
1054
Elementary vectors in separable convex programming
I. F. Obraztsov, A. D. Gvishiani, V. A. Gurvich
1059
Differential representation of difference schemes with time-dependent coefficients
Yu. I. Shokin, A. I. Urusov
1065

MECHANICS
On the equilibrium of a body on a rough plane
F. L. Chernous'ko
1068

AERODYNAMICS
Propagation of small perturbations in an ideal turbulent medium
O. V. Troshkin
1072

GEOPHYSICS
“Volga” experiment on the deep probing of Earth's crust employing the dc power line
E. P. Velikhov, A. A. Zhamaletdinov, A. D. Tokarev, V. È. Asming, A. N. Shevtsov, A. E. Gurevich, V. Ya. Kovalevskii, V. A. Merzheevskii, V. P. Teterin, M. I. Baisarovich, A. I. Ingerov, V. M. Popov, L. L. Vanyan, I. I. Rokityansky, Ya. S. Sapuzhak
1077
Propagation of acceleration waves in deformable bodies with large initial strains
A. A. Movchan
1081
On the possibility of the estimation of ocean bottom seismograph coupling characteristics by means of microshock recordings
A. A. Ostrovsky
1084
Fractures and seismicity
M. A. Sadovskii
1089
Propagation of the tectonic stress global wave in 1978–1983
K. F. Sergeev, N. F. Vasilenko, S. M. Saprygin
1091

MATHEMATICAL PHYSICS
Solvability of systems of Boltzmann moment equations in the first approximation
A. Sakabekov
1096
Quasi-local dispersion of electromagnetic waves on inhomogeneous surfaces
A. A. Fomin
1100

PHYSICS
An STM-study of the asymmetry of the graphite surface lattice atomic image
S. J. Alekperov, S. I. Vasil'ev, V. B. Leonov, V. I. Panov, A. È. Semenov
1104
Primary mechanism of dissolution of proper components in cadmium sulfide
M. Yu. Rebrov, V. T. Bublik, V. A. Teplitskiy, E. V. Markov
1108

CRYSTALLOGRAPHY
Crystal structure of simferite $\mathrm{Li}(\mathrm{Mg},\mathrm{Fe}^{3+},\mathrm{Mn}^{3+})_2[\mathrm{PO}_4]_2$
O. V. Yakubovich, V. V. Bairakov, M. A. Simonov
1119

Number 6

MATHEMATICS
Estimates in the Zygmund class and their application to boundary value problems
F. G. Avkhadiev
1289
Approximation of linear functionals, and multidimensional spline interpolation
A. Yu. Bezhaev
1293
On the denseness of the compactly supported functions in weighted spaces
K. Kh. Boimatov
1296
The mixed product of dependent stochastic operator systems
G. P. Butsan
1300
A property of systems of functions that are complete in $W^1_2(\Omega)$
S. A. Gabov
1304
$A$-discriminants and Cayley–Koszul complexes
I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov
1307
Some properties of influence functions
V. A. Gurvich
1311
On the theory of boundary value problems with boundary functions in $L_2$
N. Yu. Kapustin
1318
Coincidence of the classical and the generalized solutions of a mixed problem for a parabolic equation
È. K. Safiev
1322
Integrals of rational functions over the space $\mathbf{R}^n$
A. K. Tsikh
1325
Conditions for continuity of functions of generalized bounded variation
Z. A. Chanturiya
1329
The rate of convergence of interpolation splines given on nonuniform grids
A. Yu. Shadrin
1331

CYBERNETICS AND THE REGULATION THEORY
Decomposition of vector statistical patterns in applied recognition problems
A. I. Samylovskii
1335

MATHEMATICAL PHYSICS
A boundary value problem for the radiation transport equation in spectral lines under noncoherent and anisotropic scattering in a semi-infinite layer
J. S. Aliev
1340
Planar waveguide eigenmode spectra taking into account the energy dissipation
A. I. Voronko, Yu. V. Gulyaev, A. R. Karapetyan, G. N. Shkerdin
1345
An algorithm for solving the heat transfer problem with single-phase filtration
M. T. Zakhidov
1347
Bifurcationally ill-posed problems and deterministic phenomena under conditions of singular perturbation
V. V. Larchenko
1349
Nonstationary solutions of the two-particle Vlasov–Maxwell system
G. A. Rudykh, N. A. Sidorov, A. V. Sinitsyn
1354

PHYSICS
Spectral characteristics of $\gamma$-radiation of relativistic electrons at axial channeling in silicon crystal
M. Yu. Andreyashkin, I. E. Vnukov, S. A. Vorob'ev, A. N. Didenko, V. N. Zabaev, . N. Kalinin, G. A. Naumenko, A. P. Potylitsyn
1358
On the use of macroparticle method for the simulation of quantum transport in semiconductor microstructures
N. A. Bannov, V. I. Ryzhii
1361
The influence of nonmetallic and metallic vacancies on the stability of cubic molybdenum carbide
V. V. Krainik, A. A. Lisenko, E. A. Zhurakovskiy, V. I. Ivashchenko
1365

CRYSTALLOGRAPHY
Single crystal atomic structure of the $\mathrm{Bi}_{12}(\mathrm{Fe},\mathrm{P})\mathrm{O}_{20}$ solid solution
S. F. Radaev, L. A. Muradyan, Yu. F. Kargin, V. A. Sarin, E. È. Rider, V. I. Simonov
1381

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