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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)

Number 1
MATHEMATICS
Generalized solutions “in the large” of the equations of the one-dimensional motion of a viscous heat-conducting gas
A. A. Amosov, A. A. Zlotnik
11
Limit behavior of the solutions of a stochastic difference equation in Hilbert space
M. F. Gorodnii
15
Unique solvability of the Navier–Stokes equations on a two-dimensional sphere
A. A. Ilyin, A. N. Filatov
18
Conformal structures with Fuchsian holonomy
M. È. Kapovich
23
Asymptotic behavior of the solution of the matrix-singularly perturbed Riccati equation
G. A. Kurina
26
Approximation of the distribution of a sum in a scheme for the summation of independent random variables
I. Rakhimov, S. Kh. Sirazhdinov
31
Uniform convergence of spectral expansions in the root vectors of nonselfadjoint extensions of the Laplace operator
Ya. Sh. Salimov
35
The first boundary value problem for differential equations of elliptic type with degeneracy on manifolds of any dimension
Yu. D. Salmanov
38
Fibrations of spaces of probability measures and the geometry of infinite iterations of some monadic functors
V. V. Fedorchuk
41
Unbounded attractors of some parabolic systems of differential equations, and estimates for their dimension
V. V. Chepyzhov
46
Asymptotic completeness in a three-dimensional problem of scattering by a Brownian particle
S. E. Cheremshantsev
49
On the theory of special boundary value problems for abstract differential equations
A. Kh. Shamilov
54
Intertwining operators and linear operator equations
V. S. Shulman
57

GEOPHYSICS
On two types of gas-geochemical effects in the field of a vibration source of seismic oscillations
S. M. Ammosov, G. I. Voitov, G. S. Korobeinik, V. V. Kuznetsov, A. V. Nikolaev, G. S. Fedorova
62
The outgoing infrared radiation of the Earth as an indicator of seismic activity
V. I. Gornyi, A. G. Salman, A. A. Tronin, B. V. Shilin
67
Flexural rigidity of the lithosphere of Eurasia
R. Yu. Kukulieva, M. G. Kogan
69
Formation of solitary wave parcels in genuine waveguides
Ya. N. Khamidullin
75

PHYSICS
Spectroscopic and laser characteristics of the $\mathrm{Ca}$, $\mathrm{Mg}$, $\mathrm{Zr}$-substituted gadolinium-gallium garnet crystals doped with chromium and neodymium
Yu. K. Voronko, S. B. Gessen, M. A. Ivanov, V. V. Osiko, Yu. M. Papin, A. A. Sobol, E. V. Sorokin, M. I. Timoshechkin, S. N. Ushakov, L. I. Tsymbal
79
Ion exchange in phosphate glasses for the gradient optics
G. O. Karapetyan, G. T. Petrovskiĭ, N. V. Remizov, V. V. Rusan, R. G. Khorenyan
84
The electrical activity of oxygen in lead telluride
N. S. Lidorenko, A. M. Gaskov, Z. M. Dashevskii, M. P. Rulenko
89
Dependence of the dielectric gap in $\mathrm{Xe}$ on pressure
I. I. Mazin, S. Yu. Savrasov
92

CRYSTALLOGRAPHY
Crystal structure of $\gamma$-lactone $(\mathrm{3aR},\mathrm{4S},\mathrm{6aS},\mathrm{10aS})$-$3a,4,7,7$–tetramethylperhydronaphtho-[$8a$, $1$-$b$] furan-$2$-one
P. F. Vlad, S. T. Malinovskii, I. P. Dragalin, L. A. Zadorozhnaya, A. N. Sobolev, T. I. Malinovskii
99
Computer simulation of the crystal structure and thermodynamic properties of orthosilicates
V. S. Urusov, L. S. Dubrovinsky, G. O. Piloyan, N. A. Dubrovinskaya
102

Number 2

MATHEMATICS
A method of constructing approximate integral manifolds
Ya. S. Baris
265
Homogeneous spaces with an intrinsic metric
V. N. Berestovskii
268
Branching Hamiltonian billiards
D. G. Vasil'ev, Yu. G. Safarov
271
A generalization of A. N. Kolmogorov's theorem on the limit of a power sequence of square matrices
A. Zh. Zhafyarov
275
Some spectral properties of the Bessel differential operator
A. I. Zhilyaev
278
The complexity of three-dimensional manifolds and their enumeration in the order of increasing complexity increase
S. V. Matveev
280
The behavior for large time values of solutions of a one-dimensional hyperbolic equation with periodic coefficients
T. A. Surguladze
283
On estimates of $\epsilon$-entropy and widths of classes of functions with a bounded mixed derivative or difference
V. N. Temlyakov
288

CYBERNETICS AND THE REGULATION THEORY
An estimate of limit possibilities in table-algorithm methods of multiplication in digital systems
V. N. Kondrat'ev, V. F. Kravchenko, V. L. Rvachev
292

FLUID MECHANICS
The effect of weak anisotropy of the source on the Kolmogorov spectrum of acoustic turbulence
G. E. Falkovich, A. V. Shafarenko
297

THEORY OF ELASTICITY
Resonance phenomena in semibounded systems
L. I. Slepyan, O. V. Tsareva
301

GEOPHYSICS
Photographic observations of ozone vertical distribution in stratosphere from the “Salyut-7” orbital station
G. M. Grechko, A. S. Gurvich, N. F. Elansky, V. Kan, M. E. Plotkin, S. A. Sitnov
306
Modeling of the changes of atmospheric trace gase content and temperature regime resulting from possible nuclear war
Yu. A. Izrael, I. L. Karol', A. A. Kiselev, E. V. Rozanov
310
Nonlinear oscillations in the mouth of Kliuchevsky Volcano
P. P. Firstov, B. A. Trubnikov
314

MATHEMATICAL PHYSICS
The second quantization method in the theory of surface coverings
G. M. Gavrilenko
318
Dynamic chaos and a regular field
V. G. Gurzadyan, A. A. Kocharyan
323

PHYSICS
The Wyld diagram technique – a classical limit of the Keldysh technique for nonequilibrium processes
V. I. Belinicher, S. G. Tikhodeev
326
Exact solution of the problem of irreversible coagulation of elementary point defects in solids
A. G. Vaisburd, D. I. Vaisburd, M. L. Dudnik, O. M. Shumskii
328
Pairs of interacting vortices in two-dimensional active media
E. A. Ermakova, A. M. Pertsov, È. È. Shnol'
332

CRYSTALLOGRAPHY
New structure modifications of tin dioxide in the $\alpha$-$\mathrm{Fe}_2\mathrm{O}_3$$\mathrm{SnO}_2$ system
D. A. Khramov, K. I. Tobelko, N. A. Dubrovinskaya, V. S. Urusov
346
A system of hydrogen bonding in the crystal of $10$-carboxy-$3,8$-dinitro-$6\mathrm{H}$–dibenzo $[b,d]$ pyran-$6$-one, toluene, water $(1:1:1)$
L. A. Chetkina, E. G. Popova, V. K. Belsky, V. E. Zavodnik, A. M. Andrievsky, E. N. Sidorenko
350

Number 3

MATHEMATICS
Functional properties of infinite-order Sobolev spaces
A. N. Agadzhanov
521
Operators in Banach $C(K)$-modules and their spectral properties
Yu. A. Abramovich, E. L. Arenson, A. K. Kitover
525
Geometric decomposition of Kleinian groups in space
N. A. Gusevskii
529
The rate of convergence of iterative incomplete factorization methods
V. P. Il'in
533
A property of the $W^2_2$-solution of the Cauchy–Goursat problem
N. Yu. Kapustin
536
Asymptotic behavior of subfunctions of the Schrödinger operator in an $n$-dimensional cone
B. Ya. Levin, A. I. Kheifits
540
Do diagonally stable matrices without a dominating diagonal exist?
D. O. Logofet
543
On the theory of necessary conditions for optimality in a control problem for systems with distributed parameters
K. B. Mansimov
546
Nondifferentiable perturbations of spectral problems for a pair of selfadjoint operators, and global bifurcation
A. P. Makhmudov, Z. S. Aliyev
551
The structure of homothetic linearly separable sets in $n$-dimensional Euclidean space
B. V. Rublyov, Yu. I. Petunin, P. G. Litvinko
555
Characterization of Gaussian distribution on groups by the independence of linear statistics
G. M. Feldman
558

CYBERNETICS AND THE REGULATION THEORY
The choice of samples in degenerate observation problems
K. E. Starkov
561

MECHANICS
Compressive failure of composite strip materials
A. N. Guz, J. A. Musaev
565

GEOPHYSICS
Detection of the front of tectonic global wave by the Earth seismic monitoring
E. I. Luke, V. A. An, I. P. Pasechnik
569

MATHEMATICAL PHYSICS
Quantum statistical models in the theory of submonolayer coverages
G. M. Gavrilenko
574
Free convection equations with dissipation
A. M. Dzhaikbaev, A. A. Durmagambetov, Sh. Smagulov
579
Faddeev equations in the representation of a complete orbital moment
A. A. Kvitsinskiy, V. V. Kostrykin, S. P. Merkur'ev
581
The thermodynamic limit for nonequilibrium distribution functions for three-dimensional classical systems of interacting particles
P. V. Malyshev, D. Ya. Petrina
585

PHYSICS
Emission of fast charged particles in a longitudinal magnetic field in a scattering medium with temporal dispersion
S. P. Andreev, A. V. Koshelkin
590
Kinetic approach to the prediction of strength and durability of the metal–polymer adhesion compounds by the acoustic emission method
A. Ya. Bashkarev, V. S. Kuksenko, V. V. Nosov, V. A. Petrov
595
Diffraction of waves by a finite-thickness flat strip
È. I. Veliev, V. V. Veremeĭ, V. P. Shestopalov
598
On the cumulation limit under laser-induced implosion
E. G. Gamaliĭ
603
Stimulated scattering of randomly polarized light
V. V. Ragulsky
607

Number 4

MATHEMATICS
Characters and realizations of representations of the infinite-dimensional Hecke algebra, and knot invariants
A. M. Vershik, S. V. Kerov
777
The structure of limit distributions of unbounded solutions of quasilinear parabolic equations
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii
781
Polynomial integrals of a system of interacting particles
V. V. Kozlov
785
A system of equations of surface waves
P. I. Naumkin, I. A. Shishmarev
788
Approximations on a sphere in $L_2$
V. Yu. Popov
793

MECHANICS
The Andronov–Hopf bifurcation in the dynamics of a rotor system containing a fluid
N. V. Derendyaev
798
Unsteady flows of media with “hard” disintegration of the structure
O. R. Dornyak, Z. P. Shul'man, B. M. Khusid, È. A. Zaltsgendler
802
On a mathematical model of the turbulent motion of fluid
K. E. Plokhotnikov
805

FLUID MECHANICS
On the excitation of composite standing three-dimensional waves at the boundary of a two-layer fluid
V. A. Kalinichenko, S. Ya. Sekerzh-Zen'kovich, A. A. Chaikovsky
810
Charge transfer at electrohydrodynamic liquid spraying
V. N. Kirichenko, V. N. Polevov, N. N. Suprun, I. V. Petryanov-Sokolov
814
Lowering of the hydrodynamic resistance during the flow of surfactant emulsions
V. N. Pilipenko, V. N. Karashchenko
817

THEORY OF ELASTICITY
Application of elliptic photoelasticity method to optically active object
I. I. Bugakov, S. G. Golubeva, N. M. Drichko, E. G. Yurchenko
822

GEOPHYSICS
Modeling and forecasting of radiation situation in the rivers of accidental area of the Chernobyl atomic power plant
V. A. Borzilov, Yu. S. Sedunov
826
Electromagnetic tomography
M. S. Zhdanov
829
A method of computing non stationary wave fields in non elastic stratified-inhomogeneous media
A. G. Fatianov, B. G. Mikhailenko
834

MATHEMATICAL PHYSICS
On the boundaries of applicability of Kirchhoff and Fresnel approximation in the inverse problems of plane optics synthesis
A. V. Goncharsky, E. V. Zakharov, G. I. Manankova, E. V. Nikitina
840

PHYSICS
Amplitude-phase modulation of wave beam in the adaptive radio optics
I. D. Bagbaya, I. N. Sisakyan, A. B. Shvartsburg
845
Semiconductor structure investigation by the methods of acoustic and electron thermoacoustic microscopy
Yu. V. Gulyaev, M. A. Kulakov, A. I. Morosov, E. I. Rau
849
The origin of a nondissipative shock wave
A. V. Gurevich, A. L. Krylov
851
Dechanneling as diffusion in a random medium
N. V. Laskin, S. P. Fomin, N. F. Shul'ga
855

CRYSTALLOGRAPHY
The crystal- and molecular structure of $5,7$-dimethyl-$4,6$-dioxopyrimido-$2,1,3$-thiadiazole
V. Kh. Kravtsov, V. N. Biyushkin, T. I. Malinovskii, S. A. D'yachenko, M. I. Bureneva
875

Number 5

MATHEMATICS
Coercive estimates and separability for second-order elliptic differential equations
K. Kh. Boimatov
1033
A criterion for the completeness of a family of functions in involution that is constructed by the argument translation method
A. V. Bolsinov
1037
Codes that are connected with a group of linear-fractional transformations
I. B. Gashkov, V. M. Sidel'nikov
1041
The Dirichlet problem in a weighted metric for a ball in $R^n$, $n\ge3$
K. S. Kazarian
1044
The matching method in a problem of asymptotic decomposition of a plane wave packet in a dispersive medium
L. A. Kalyakin
1048
Convergence of anharmonic Fourier series in systems of exponentials, cosines and sines
A. M. Sedletskii
1053
Controllable Markov processes and optimization of random multiple access algorithms
R. Z. Khas'minskii
1057

CYBERNETICS AND THE REGULATION THEORY
Complete solution of the general Routh problem in control theory
A. T. Barabanov
1061
Automata simulation of some biological systems
N. B. Lupanova
1066

AERODYNAMICS
The investigation of boundary-layer transition using fluorescent fluid films
M. M. Ardasheva, A. V. Kogut, G. E. Permshin
1070

FLUID MECHANICS
Kinetic description of long waves in a homogeneous fluid
F. V. Bunkin, K. I. Volyak, A. V. Krasnoslobodtsev
1072
The equations of movement of the ball lightning in field of a moving spring
N. I. Gaidukov
1076

GEOPHYSICS
On the possibility of high-precision measurements with a gravitation variometer
D. G. Gridnev, I. P. Kaganovskii, I. I. Naumenko-Bondarenko, Yu. N. Smirnov
1080
Correlation of waveguides and electro conducting layers in the continental crust
E. K. Derlyatko, G. V. Krasnopevtseva, I. A. Rezanov
1083
Short-term precursors of the Gazli destroying earthquakes
A. N. Sultankhodzhaev, S. S. Khusamiddinov
1087

MATHEMATICAL PHYSICS
Numerical simulation of two-dimensional relaxation of a diffuse electron beam injected into the plasma
O. V. Batishchev, J. S. Sigov
1091
On wave propagation velocity for transport processes with relaxation
O. Yu. Dinariev
1095

PHYSICS
On the extreme resources of the X-ray standing wave method
A. M. Afanas'ev, V. N. Peregoudov
1098
Propagation of nonlinear waves in media with fluctuating parameters
E. S. Benilov, E. N. Pelinovsky
1100
Critical disturbances for systems with heat bistability
A. Vl. Gurevich, R. G. Mints, A. A. Pukhov
1104
On the dalton model of thermal fluctuation generation of crack
V. A. Petrov
1107
On the diffusiophoresis of moderately large non volatile aerosol particles
Yu. I. Yalamov, A. A. Yushkanov, S. A. Savkov
1111

Number 6

MATHEMATICS
Integral equations of the first kind with singular kernels that are generated by the Schwarz kernel
A. V. Bitsadze
1289
The structure of the multiplicative group of an integral group ring
A. A. Bovdi
1295
Centro-affine invariant conditions for the existence of a center of a differential system with cubic nonlinearities
N. I. Vulpe, K. S. Sibirskii
1297
Metric fiberings of a Lobachevskii space
E. M. Gorelik
1301
Well-posedness of the Cauchy problem in classes of entire functions of finite order
Yu. A. Dubinskii
1305
Limit distribution of processes of stochastic approximation type when the regression function has several roots
Yu. M. Kaniovskii
1308
One-step noniterative methods for solving stiff systems
E. A. Novikov, Yu. A. Shitov, Yu. I. Shokin
1310
Complete affine-minimal hypersurfaces
A. V. Pogorelov
1314
Solvability of the degenerate complex Monge–Ampère equation
P. R. Popivanov, N. D. Kutev
1317
Sobolev spaces of functions on families of discrete sets. Trace theorems
A. A. Reznik
1320
A constructive method for describing the efficient set of a dual function
S. V. Rzhevskii
1325
Reduction of the theory of homogeneous flows to the case of a discrete isotropy subgroup
A. N. Starkov
1328

AERODYNAMICS
Equations for the acoustics of a nonstationary subsonic flow
A. T. Fedorchenko
1332

THEORY OF ELASTICITY
Qualitative properties and behavior in time of the solutions of three-dimensional contact problems with friction
A. A. Spektor
1337

GEOPHYSICS
A relation between the atomization specific energy and mechanical solidity of minerals and rocks
È. Mamyrov
1341
On the attenuation of explosion seismic waves in rocks
M. A. Sadovskii, V. N. Kostyuchenko
1344

MATHEMATICAL PHYSICS
Quantum branching processes and the nonlinear dynamics of multiquantum systems
V. P. Belavkin
1348
Asymptotic solution of a boundary value problem for a nonlinear nonstationary equation of isothermic filtration of a gas in an inhomogeneous anisotropic porous medium
V. G. Danilov, O. B. Rashkowsky
1352
Noncompact magnets and the Bogolyubov condensate
V. G. Makhan'kov, O. K. Pashaev
1356
Discrete space-time and quantum electrodynamics
K. E. Plokhotnikov
1362
Integration in function spaces in quantum mechanics
N. N. Popov
1366

PHYSICS
Localization of bound waves in gomogeneous random media
M. B. Gitis, Yu. V. Gulyaev, I. A. Chaikovskii
1370
Rydberg atoms and the investigation of macromolecules
V. A. Namiot
1372
A universal wave equation with a nonlocal nonlinearity
K. V. Chukbar
1375

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