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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)

Number 1
MATHEMATICS
Completeness of systems of exponentials in convex domains
V. S. Azarin, V. B. Giner
11
Proper products of multiparametric Sturm–Liouville matrix equations
M. S. Almamedov
14
Theory of the stability of additive difference schemes in Banach spaces
N. Yu. Bakaev
18
Algorithmic dimension of models
Yu. G. Ventsov
21
The problem of the accumulation of oscillations in mechanical systems with a finite number of degrees of freedom
V. I. Zubov
24
Decomposable statistics and a class of stopping times for multinomial experiments
G. I. Ivchenko
26
A problem for a parabolic-hyperbolic equation with a nonlocal gluing condition for the normal derivatives on the line of change of type
N. Yu. Kapustin
31
Fractional integrals on curves
V. M. Kokilashvili
33
Extensions of Hermitian sectorial operators and dual pairs of contractions
M. M. Malamud
35
The Lyapunov hierarchical matrix function and stability under structural perturbations
A. A. Martynyuk
41
Factorization of matrix functions of special form
N. G. Moiseev
44
Solvability of infinite-order nonlinear differential equations in unbounded domains
Tran Duc Van, Ha Huy Bang
48

GEOPHYSICS
On the investigation of convection mechanism in the Earth upper mantle
Yu. P. Bulashevich, Yu. V. Khachai
52
Short-period shear wave attenuation in the lithosphère and asthenosphere of the platform regions
Yu. F. Kopnichev
56

MATHEMATICAL PHYSICS
Dissipativity conditions in Hamiltonian mechanics
O. Yu. Dinariev
60
Nonequilibrium thermodynamics of evolution equations
O. B. Moskalev
63

PHYSICS
Plane electromagnetic wave diffraction on a semi-infinite arbitrarily shaped, perfectly conductive cylinder
E. N. Vasil'ev, V. V. Nasochevsky
68
Kinetics of the accumulation and recombination of excitations in fractal systems
I. M. Sokolov
71

CRYSTALLOGRAPHY
Crystal structure of zirconium molybdate, $\mathrm{Zr}(\mathrm{MoO}_4)_2$
R. F. Klevtsova, L. A. Glinskaya, E. S. Zolotova, P. V. Klevtsov
91
Crystal structure of a new $\mathrm{Be}(\mathrm{OH})_2$ natural modification
T. N. Nadezhina, D. Yu. Pushcharovskii, R. K. Rastsvetaeva, A. V. Voloshin, I. F. Burshtein
95

Number 2

MATHEMATICS
The spectral structure of selfadjoint multiparameter problems
M. S. Almamedov
265
Solvability of a class of boundary value problems
S. A. Vavilov
268
Solution of systems of algebraic equations with a random error in the matrix of a system
V. A. Vinokurov, N. F. Repnikov
271
Elementary properties of groups of recursive permutations
A. S. Morozov
274
Algebras that can be represented by triangular matrices
N. G. Nesterenko
276
Asymptotics of the number of monotone functions on partially ordered sets
A. A. Sapozhenko
279
Difference schemes that are absolutely time-stable “in the large” for equations of magnetogasdynamics with viscosity
I. D. Turetaev
284
Classes of infinitely differentiable functions
P. L. Ul'yanov
287

CYBERNETICS AND THE REGULATION THEORY
The method of comparison systems, based on input-output models, in the design of decentralized adaptive control algorithms
I. G. Solovyev
291

FLUID MECHANICS
Reconstruction of a plane flow of a heavy ideal fluid from the form of its free surface
A. V. Konovalov, E. S. Levchenko, A. S. Savin
294
An experimental tornado model
V. F. Tarasov, V. G. Makarenko
297
Theory of the frontal dynamics of mixture adsorption in a nondeformable porous medium
L. K. Filippov
301

THEORY OF ELASTICITY
Some features of the oscillation of semibounded domains
I. F. Obraztsov, V. A. Babeshko
306

GEOPHYSICS
On the influence of convection on the differentiation of Earth mantle matter
Yu. P. Bulashevich, Yu. V. Khachai, G. B. Fershtater
310
On the measurement of Earth surface inclination near the explosion epicenter
V. M. Graizer, O. P. Kuznetsov, N. I. Nedoshivin, J. D. Sultanov
314

MATHEMATICAL PHYSICS
A linear system of equations of a transport theory that does not contain cross sections or a scattering indicatrix
Yu. E. Anikonov
319
On a connection between the Boltzmann equation and the Landau–Fokker–Planck equations
A. A. Arsen'ev
322
A variational method for constructing inhomogeneous difference schemes in gas dynamics with different time steps in neighboring cells
Yu. A. Bondarenko
325
Forced oscillations of a thin elastic shell that is filled with a viscous compressible fluid
D. G. Vasil'ev, M. R. Levitin, V. B. Lidskii
329
Calculation of the point scattering function of optical systems by Maslov's method
V. V. Kucherenko, V. A. Popov, M. V. Romashkin
333

PHYSICS
Generation of subnanosecond pulses on $\mathrm{Al}_2\mathrm{O}_3:\mathrm{Ti}^{3+}$ crystals
S. A. Batishche, A. A. Demidovich, V. G. Koptev, V. P. Mikhailov, V. A. Mostovnikov, V. P. Orekhova, B. K. Sevast'yanov, G. A. Skripko, L. S. Starostina, G. A. Tatura, A. P. Shkadarevich, K. P. Chirkina, A. P. Chirkin
337
Splitting of linear voltage-current characteristics of gyrotropic semiconductors in the presence of hot electron latent instability
A. S. Bugaev, A. I. Vakser
340
Quasisimple waves in dispersive hydrodynamics
A. V. Gurevich, A. L. Krylov, N. G. Mazur
343
Influence of the tetragonal compression of lattice on the luminescent properties of the $\mathrm{A}^\mathrm{II}\mathrm{B}_2^\mathrm{III}\mathrm{C}_4^\mathrm{VI}$ compounds
S. I. Radautsan, I. M. Tiginyanu, Yu. O. Derid
347

Number 3

MATHEMATICS
An algorithm for the numerical solution of the Dirichlet problem
N. N. Abramov, V. V. Kucherenko
521
Application of projection methods to the construction of best quadrature formulas on the solution sets of boundary value problems
R. M. Aliev
525
Invariants of adjoint and co-adjoint representations of semidirect Lie algebras
O. V. Manturov
529
On the existence of $n$-dimensional compact Riemannian spaces that admit nontrivial projective transformations “in the large”
J. Mikeš
534
A source method for solving a problem in the theory of elasticity in stresses
B. E. Pobedrya, N. A. Radzhabov
536
Asymptotic behavior of families of particles in branching random processes
I. Rakhimov
540
On the analysis of the stability of two-layer difference schemes by the differential approximation method
Yu. I. Shokin, A. I. Urusov, V. N. Yanshin
543
A class of integro-differential equations
A. I. Yanushauskas
545

CYBERNETICS AND THE REGULATION THEORY
Solution of a problem of the design of an asymptotically stable control system for a class of nonlinear dynamical systems
V. V. Martynenko
548
Filtering of finite-dimensional and infinite-dimensional diffusion processes on the basis of discrete-continuous observations
Yu. V. Orlov
553

MECHANICS
Onsager's reciprocity relations in problems of the kinetic theory of gases
F. M. Sharipov, V. D. Akinshin, V. D. Seleznev
558

AERODYNAMICS
On boundary layer flow receptivity with respect to the vibration of the localized region of a streamlined surface
S. V. Manuilovich
563

FLUID MECHANICS
Properties of solvability of nonstationary Euler equations in terms of $H,\psi$
V. M. Solopenko
567

GEOPHYSICS
Schumann resonances in deep-sea electric field
B. A. Burov, A. N. Droga
571

MATHEMATICAL PHYSICS
Quasiclassical path-coherent states of the Dirac operator with Pauli's anomalous interaction
V. V. Belov, V. P. Maslov
574

PHYSICS
Irradiation stability of rare-earth scandium-aluminium garnets
M. Kh. Ashurov, E. V. Zharikov, A. M. Kurbanov, I. N. Nasyrov, V. V. Osiko, P. Kh. Khabibullaev, I. A. Shcherbakov
581
The iron doping as a new sensitizer of rare-earth ion luminescence
Kh. S. Bagdasarov, A. M. Kevorkov, T. A. Melkonyan, V. G. Baryshevskiĭ, M. V. Korzhik, V. V. Kuz'min, M. G. Livshits, M. L. Meil'man
583
Excitation of high-frequency self-oscillations in streamer semiconductor lasers
V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, N. I. Kuskova
586
Acoustic and thermophysical characteristics of high-temperature superconductor
A. I. Golovashkin, V. A. Danilov, O. I. Ivanenko, K. V. Mitsen, I. I. Perepechko
589
Solutions of the sine-Gordon equation by the method of modulated waves (an application to a model of a two-level medium)
A. V. Gurevich, N. I. Gershenzon, A. L. Krylov, N. G. Mazur
593
Through simulation of one-dimensional Langmuir turbulence
V. E. Zakharov, A. N. Pushkarev, R. Z. Sagdeev, G. I. Solov'ev, V. D. Shapiro, V. F. Shvets, V. I. Shevchenko
598
Features of a wave field, excited by an oblique shock wave in a thin plate, and the formulation of corresponding strength problems
Yu. K. Konenkov, I. F. Obraztsov, A. G. Rafailov
603
Three-branche excitonic polaritons in direct band gap cubic semiconductors and their Raman scattering
Nguyen van Hieu, Nguyen ai Viet
608

Number 4

MATHEMATICS
Vibrational effects in linear and nonlinear systems
V. I. Zubov
777
Semantics and logic of computational problems
M. I. Kanovich
778
The maximum principle for systems of second-order equations of mixed type
K. B. Sabitov
783
Applications of multipliers in S. L. Sobolev spaces to $L_p$-coercivity of the Neumann problem
T. O. Shaposhnikova
786

CYBERNETICS AND THE REGULATION THEORY
Problems of optimal management of a fishery with competing fish populations in the Azov Sea
I. I. Vorovich, Yu. A. Dombrovskii, N. I. Obushchenko, F. A. Surkov
790
On the theory of optimal processes in nonlinear control systems
V. V. Martynenko
794

MECHANICS
Some peculiarities of the flow around bodies moving in two-phase (gas-solid particles) media and in presence of the effect of particle breaking
I. A. Dukhovskii, P. I. Kovalev
799
Nonlinear resonance interactions of longitudinal and flexural waves in an annulus
D. A. Kovrigin, A. I. Potapov
803

FLUID MECHANICS
On the motion of a singular vortex and its mass
S. T. Belyaev, Yu. K. Krasnov
808
On the motion of two spheroidal particles in a nonuniformly heated gas
M. N. Gaidukov, Yu. I. Yalamov, M. M. Li
811
On Cauchy–Poisson waves in the presence of singularities of sink type at the beach edge
B. N. Rumyantsev
816

ASTRONOMY
Perfect cosmological principle and the Hubble effect
P. N. Kropotkin
820

GEOPHYSICS
On the effect of galactic cosmic rays on the formation of spring maximum of the ozone total content in polar and subpolar regions
V. V. Osetchkin, E. V. Gnilovskoy, K. V. Kondratovich
825
On the nature of the geophysical medium discontinuity
Ya. N. Khamidullin
828

MATHEMATICAL PHYSICS
Modelling of $3$-dimensional periodic structures in ferromagnetic films
S. G. Osipov, V. V. Ternovskii, M. M. Khapaev
831
The index theorem in the algebra of quantum observables
B. V. Fedosov
835

PHYSICS
On the stimulation mechanisms of intranuclear transitions in hot plasma
R. V. Arutyunyan, L. A. Bol'shov
839
Formation of nonlinear structures in exactly solvable dissipative systems
A. E. Borovik, V. Yu. Popkov, V. N. Robuk
841
Effect of radiation defects, induced by ion implantation, on electronic properties of $\mathrm{PbTe}$
N. S. Lidorenko, Z. M. Dashevskii, S. A. Kaz'min, V. I. Kaidanov, M. P. Rulenko
844
Relativistic theory of gravity as a theory with broken gauge group
A. A. Logunov, Yu. M. Loskutov
848

CRYSTALLOGRAPHY
Three-dimensional structure of human somatotropin at $3\mathring{\mathrm{A}}$ resolution
A. G. Pavlovskii, S. N. Borisova, B. V. Strokopytov, A. A. Vagin, B. K. Vaĭnshteĭn, G. A. Alkimavichius, V. I. Naktinis, E.-A. A. Yanulaitis, P. M. Rubtsov, K. G. Skryabin, A. A. Baev
861
Volume properties of silicon in solid, solid-liquid, and liquid states
Yu. N. Taran-Zhovnir, N. M. Kochegura, S. P. Kazachkov, V. R. Pilipchuk, E. A. Markovskii, V. Z. Kutsova, K. V. Uzlov
865
A new type of silicate radical in the structure of grumantite, $\mathrm{Na}[\mathrm{Si}_2\mathrm{O}_4(\mathrm{OH})]\cdot\mathrm{H}_2\mathrm{O}$
N. Ya. Yamnova, D. Yu. Pushcharovskii, V. I. Andrianov, R. K. Rastsvetaeva, A. P. Khomyakov, M. G. Mikheeva
868

Number 5

MATHEMATICS
Precision approximation of kinematic trajectories
V. I. Zubov
1033
Quasigeodesic mapping and the Riemannian gauge structure
V. A. Igoshin, Ya. L. Shapiro
1035
The structure of the Monge manifold when its shortest geodesics are indeterminate
R. I. Kalanchuk
1039
A curve in $R^n$ that is homeomorphic to a straight line and that intersects every unbounded curve of bounded curvature
A. V. Kuz'minykh
1042
A semigroup approach to a problem of determining the inhomogeneous term in evolution equations
A. I. Prilepko, D. G. Orlovsky
1045
Decomposition of ruled and parabolic surfaces
V. Yu. Rovenskiĭ
1049
Analytic methods in the theory of quadratic stochastic operators
T. A. Sarymsakov, N. N. Ganikhodzhaev
1052
Volterra functional-operator equations in the theory of the optimal control of distributed systems
V. I. Sumin
1056

CYBERNETICS AND THE REGULATION THEORY
A heuristic decomposition method for optimizing the transportation of perishable product mixes
V. V. Kafarov, L. G. Koshelev, V. P. Meshalkin
1060
A class of hysteresis nonlinearities
M. A. Krasnosel'skii, V. V. Chernorutskii
1065
Accelerated determination of codes and hash-functions
R. E. Krichevskii
1069

MECHANICS
Continual approximation in the theory of stability of layered composite materials
A. N. Guz, I. A. Guz
1073
On structural-dilatancy strength of rocks
A. F. Revuzhenko, S. B. Stazhevsii, E. I. Shemyakin
1077

GEOPHYSICS
A method for solving non-steady-state problems in continuum mechanics
N. V. Gerasimov, Yu. V. Gerasimov, V. S. Lovlya, V. D. Khazov, Yu. V. Khaidin
1081
Earth crust seismicity of the Aegean Sea south part (from the results of bottom seismological observations)
S. L. Solov'ev, S. A. Kovachev, I. P. Kuzin, S. Tassos
1085

MATHEMATICAL PHYSICS
Non-self-dual instantons and quasiconformal mappings
V. A. Yatsun
1090

PHYSICS
Spectral properties of parametric X-ray radiation
Yu. N. Adishchev, A. N. Didenko, S. A. Vorob'ev, G. A. Pleshkov, A. P. Potylitsyn, S. R. Uglov
1094
Violation of the Bunsen–Roscoe law and the “memory” effect in photoactivation of surface-enhanced Raman scattering and surface-enhanced second harmonic generation
O. A. Aktsipetrov, E. D. Mishina, T. V. Murzina, A. V. Petukhov, A. L. Petukhova
1096
Self-similar flows after instant energy release in gas with low-density channels
V. I. Bergelson, I. V. Nemtchinov, T. I. Orlova, V. M. Hazins
1100
Discrete spectrum of nonequilibrium dislocation structure in germanium
A. N. Izotov, A. I. Kolyubakin, S. A. Shevchenko, E. A. Steinman
1104
Current carriers in magnetically ordered semiconductors
A. A. Truschenko
1107

CRYSTALLOGRAPHY
Synthesis, crystal and molecular structure of ($\mathrm{N}$-methylbenzoylamino) methyltrifluorosilane
M. G. Voronkov, È. A. Zelbst, V. S. Fundamenskii, A. A. Kashayev, L. I. Gubanova
1124
Crystallization of proteins and ribosome particles under conditions of microgravity
S. D. Trakhanov, A. I. Grebenko, V. A. Shirokov, A. V. Gudkov, A. V. Egorov, I. V. Barmin, B. K. Vaĭnshteĭn, A. S. Spirin
1128

Number 6

MATHEMATICS
Extremal problems in approximation theory, and nonlinear oscillations
A. P. Buslaev
1289
Projective-dual varieties and hyperdeterminants
I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov
1294
Maps of surfaces and their schemes
V. A. Gurvich, G. B. Shabat
1298
Asymptotically normal families of experiments, and efficient estimates
I. A. Ibragimov, R. Z. Khas'minskii
1303
Approximation of a problem of stochastic programming with complete recursion
R. Lepp
1307
The structure of open manifolds of nonnegative curvature
V. B. Marenich
1311
Isotropic metric spaces
I. G. Nikolaev
1314
On the denseness of solutions to elliptic problems with localized right-hand sides in function spaces on a manifold
Ya. A. Roitberg, Z. G. Sheftel
1317

CYBERNETICS AND THE REGULATION THEORY
On a structure of parallel tomographic computer systems
A. A. Timonov, A. V. Pestryakov
1321

FLUID MECHANICS
Generalized potential in the theory of uniform helical flows of an incompressible fluid
N. V. Saltanov
1325

THEORY OF ELASTICITY
Influence of defects on the normal frequencies of structurally inhomogeneous bodies
È. I. Grigolyuk, B. L. Pelekh, O. S. Machuga
1328
On the theory of failure of layered composites with a shear crack
V. È. Sadykhov
1331

GEOPHYSICS
The effect of sudden decreases of ionosphere sporadic $E_s$ layer as a forerunner of earthquakes
O. A. Alimov, M. B. Gokhberg, E. V. Liperovskaya, I. L. Gufel'd, V. A. Liperovskii, L. N. Rubtsov
1335
Seismicity of the earth crust of the Tyrrhenian Sea south-east part (from the results of joint sea bottom and land seismological observations)
S. L. Solov'ev, M. Ferri, I. P. Kuzin, S. A. Kovachev
1339
A procedure for determining the components of the deformation tensor of the heterogeneous earth crust from data of repeated geodesic measurements
È. È. Fotiadi, V. K. Kuchai, S. I. Kesel'man
1344

MATHEMATICAL PHYSICS
Superradiation dynamics of media with cylindrical symmetry
A. V. Andreev, O. Yu. Tikhomirov, M. V. Fedotov
1347
Asymptotic behavior of the solution with a transition layer of a singularly perturbed hyperbolic system of equations
A. V. Nesterov
1350

PHYSICS
Vibration-induced polarization borrowing in case of free complex molecule fluorescence
N. A. Borisevich, V. V. Gavrilyuk, V. A. Povedailo, V. A. Tolkachev
1354
Detection of hole recombination in silicate glass
L. B. Glebov, V. G. Dokuchaev, M. A. Petrov, G. T. Petrovskiĭ
1358
Determination of the magnetic moment of deuterium atom nucleus within $1{,}3\cdot10^{-9}$
M. V. Gorshkov, Yu. I. Neronov, E. N. Nikolaev, V. L. Tal'roze, Yu. V. Tarbeev
1362
The contribution of the translational motion of nuclei to the energy of ion-atom exchange interaction
E. L. Duman, N. P. Ticshenko, I. P. Shmatov
1365

CRYSTALLOGRAPHY
Crystal- and molecular structure of $3$-phenyl-$5$-methyl-$1\mathrm{H}$-indazole
A. A. Dvorkin, A. S. Yavorskii, Yu. A. Simonov, G. E. Kolodeev, S. A. Andronati, T. I. Malinovskii
1378

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