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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)

Number 1
MATHEMATICS
Integrable Euler equations on six-dimensional Lie algebras
O. I. Bogoyavlenskii
11
On the integration of the cylindrical Kadomtsev–Petviashvili equation by the method of the inverse problem of scattering theory
V. S. Dryuma
15
On the existence of universal functions
S. M. Duyos Ruiz
18
Complex orientations of real algebraic curves with singularities
V. I. Zvonilov
22
Normal functions and the natural compactification of a plane domain
O. V. Ivanov
26
On typical behavior of the trajectories of a rational mapping of the sphere
M. Yu. Lyubich
29
On the completeness of the system of eigenvectors and associated vectors of nonlocal boundary value problems for quasielliptic partial differential operator equations
F. G. Maksudov, V. B. Shakhmurov
33
Degenerate elements of Lie algebra representations
V. V. Prasolov
36
On one-sided problems for nonlinear operators with convex constraints on the gradient of the solution
T. N. Rozhkovskaya
38
Cellular decompositions of manifolds of forms of simplicity
B. A. Rozenfel'd, G. S. Magasumov
42
On the boundedness of singular integral operators with complicated singularities
A. G. Sergeev
44
The principle of throwing out cycles in Morse–Novikov theory
I. A. Taimanov
46

GEOPHYSICS
Mechanical interpretation of some peculiarities of lunar seismicity
Yu. N. Avsyuk
51
Observation from the satellite of electromagnetic emission over the epicenter region of forthcoming earthquakes
M. B. Gokhberg, V. A. Pilipenko, O. A. Pokhotelov
56
On the plasticity of minerals at phase transformations
V. A. Kalinin, I. S. Tomashevskaya
59

MATHEMATICAL PHYSICS
Wave existence in the simultaneous polymerization and crystallization processes
V. A. Vol'pert, S. P. Davtyan
62

PHYSICS
Defects of the “oxygen vacancy” – type in silica glasses
A. V. Amosov, G. T. Petrovskiĭ
66
Growth of single-crystal plates of complicated oxide compounds by the Stepanov method
L. I. Ivleva, Yu. S. Kuz'minov, V. V. Osiko, N. M. Polozkov, A. M. Prokhorov
69
Electronic structure of titanium oxides with perovskite structure in the cubic phase
V. V. Nemoshkalenko, A. N. Timoshevskii, V. N. Antonov
72
Selective laser spectroscopy of coproporphyrin
L. A. Piruzyan, V. I. Alekseev, V. I. Rahovskii, M. N. Sapozhnikov
76
Effect of the volume fraction of a gas on the characteristics of shock waves in a gas – liquid medium
E. I. Timofeev, B. E. Gel'fand, S. A. Tsyganov, A. N. Polenov, A. V. Gubanov
81

Number 2

MATHEMATICS
Plancherel's theorem for an integral transformation associated with a complex of $p$-dimensional planes in $\mathrm{CP}^n$
R. G. Airapetyan, I. M. Gel'fand, M. I. Graev, G. R. Oganesyan
265
On a problem of M. M. Lavrent'ev for the biharmonic equation in a rectangle
M. A. Atakhodzhaev
268
Borsuk's problem on the metrization of a polyhedron
V. N. Berestovskii
273
New algebraic constructions of integrable Euler equations
O. I. Bogoyavlenskii
277
Mathematical models of aging of polymer insulating materials
R. P. Braginskii, B. V. Gnedenko, S. A. Molchanov, I. B. Peshkov, K. A. Rybnikov
281
Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang–Baxter equations
V. G. Drinfeld
285
Arithmetically consistent $\lambda$-theories of type-free logic
A. S. Kuzichev
288
On a sufficient condition for approximability of a function by rational fractions
P. V. Paramonov
292
On the boundary behavior of analytic sets and algebroid mappings
S. I. Pinchuk
296
Continuation with respect to a parameter of the solution of the two- dimensional inverse problem of the potential
V. G. Cherednichenko
299

CYBERNETICS AND THE REGULATION THEORY
Analysis and algorithmization of melodies using the frequency dictionaries of musical intonations
R. Kh. Zaripov
303

MECHANICS
Continuum theory of composite materials having small-scale distortions in their structure
A. N. Guz
307

FLUID MECHANICS
Steady flows of low-viscosity fluids in channels and tubes of periodic profile
S. I. Chernyshenko
314

THEORY OF ELASTICITY
An averaged description of an elastic medium with a large number of small absolutely solid inclusions
L. V. Berlyand, A. D. Okhotsimskii
317

GEOPHYSICS
Extreme distortion of the image of objects observed through a scattering layer
V. Y. Zuev, V. V. Belov, B. D. Borisov, V. N. Genin, M. V. Kabanov, G. M. Krekov
321
Hydrodynamics and structure of the two-phase astenosphere
A. V. Karakin, L. I. Lobkovsky
324
Temporal variations of the seismic wave amplitudes as determined from the results of earth crust seismic sounding in Southern Tadzhikistan
A. V. Kulagin, A. G. Gamburtsev
329
The velocity of description front and the dynamic stresses on it during the explosion in solid substances
V. I. Kulikov
332

MATHEMATICAL PHYSICS
A method of generating exact solutions of nonsoliton type for electrovacuum gravitational fields
G. A. Alekseev
337

PHYSICS
Formation mechanism of radiation paramagnetic color centers in silica glasses
A. V. Amosov, G. T. Petrovskiĭ
341
Picosecond kinetics of singlet-singlet transient absorption spectra of polyatomic molecule vapors
N. A. Borisevich, S. A. Tikhomirov, G. B. Tolstorozhev
344
Detection of oscillatory rainbow for the high-energy scattering of molecules
A. P. Kalinin, V. B. Leonas, I. D. Rodionov
347

CRYSTALLOGRAPHY
Crystal strusture of $\mathrm{Na}_2\mathrm{Sn}$-germanate, $\mathrm{Na}_6\mathrm{Sn}_4[\mathrm{GeO}_4][\mathrm{Ge}_2\mathrm{O}_7]_2\mathrm{O}_2(\mathrm{OH})_2$
A. N. Safronov, N. N. Nevsky, V. V. Ilyukhin, N. V. Belov
360

Number 3

MATHEMATICS
Regularizing stopping rules under conditions of random errors
A. Yu. Veretennikov, M. A. Krasnosel'skii
521
The $\epsilon$-maximum principle for suboptimal controls
R. Gabasov, F. M. Kirillova, B. Mordukhovich
525
Pursuit of an evading object by several objects of different type
N. L. Grigorenko
529
An index for invariant elliptic operators, $K$-theory, and representations of Lie groups
G. G. Kasparov
533
Estimates of the attainable set and construction of admissible controls for linear systems
V. A. Komarov
537
Spherical harmonics and subharmonic functions
A. A. Kondratyuk
541
On the reducibility of nonlinear evolution equations to linear normal form
N. V. Nikolenko
545
On retractions of homogeneous spaces
N. G. Okromeshko
548
On the probability of large deviations of maximum likelihood estimators
M. E. Radavicius
551
Metasymplectic geometries as geometries on absolutes of Hermitian planes
B. A. Rozenfel'd, T. A. Stepashko
556
A recursive parametrization of the group $U(n)$
F. I. Fedorov
560

AERODYNAMICS
Toward a theory of the sail
M. A. Brutyan, P. L. Krapivsky
563

FLUID MECHANICS
Relations at the interface of media in the presence of heat transfer and inhomogeneity of basic parameters along the surface
V. V. Gogosov, V. A. Naletova, Chyong Za Bin, G. A. Shaposhnikova
566

THEORY OF ELASTICITY
Discrepancies of matching of the displacements and stresses in problems concerning joining and contact of elastic bodies
L. B. Cvik
570

GEOPHYSICS
Seismic anisotropy in a mantle transition zone
L. P. Vinnik, G. L. Kosarev, L. I. Makeeva
575
Wave field near the rupture and the estimation of source parameters
V. M. Graizer, N. V. Shebalin
579
On the shape of Alfven modes in the axisymmetric adiabatic trap (magnetosphere)
A. L. Krylov, A. E. Lifshits
583

PHYSICS
Motion of a spherical particle in its own saturated vapor at arbitrary Knudsen numbers
S. A. Beresnev, V. G. Chernyak, P. E. Suetin
588
On the influence of a weak pulsed magnetic field on the real structure of solids
G. I. Distler, V. M. Kanevskii, V. V. Moskwin, S. N. Postnikov, L. A. Ryabinin, V. P. Sidorov, G. D. Shnyrev
591
Laser annealing of $\mathrm{A}^{\mathrm{III}}\mathrm{B}^{\mathrm{V}}$ semiconductors
L. N. Kurbatov, I. G. Stoyanova, P. P. Trokhimchuk, A. S. Trokhin
594

CRYSTALLOGRAPHY
On the classification and properties of the crystallographic orbits
A. L. Talis, E. V. Chuprunov, T. N. Tarkhova
622

Number 4

MATHEMATICS
On the fundamental group of a manifold of negative curvature
N. A. Gusevskii
777
Characterization of vector structures by linear mappings
V. K. Ionin, E. K. Suleimenov
781
Genetic operators and multiparameter spectral problems
G. A. Isaev
785
Multidimensional spectral asymptotics for elliptic operators
S. M. Kozlov
789
Embedding of sheaves in a Heyting-valued universe.
V. A. Lyubetskii, E. I. Gordon
794
Estimates of the resolvent for a class of quasielliptic partial differential operator equations
F. G. Maksudov, V. B. Shakhmurov
799
On infinite finitely generated periodic groups
Yu. I. Merzlyakov
803
The symbol of singular integral operators with conjugation in the case of a piecewise Lyapunov contour
V. I. Nyaga
806
Equations with two unknowns in a free group
Yu. I. Ozhigov
809
Unsolvability of the problem of functional expressibility in the modal logic $\mathrm{S}4$
M. F. Raţă
814
Existence of an optimal control for a system with variable domain of definition
S. N. Slugin
818
Division by an inner function does not change the class of smoothness
N. A. Shirokov
821
On the well-posed property of the Cauchy problem in the spaces $L_p^\alpha$ and $B_{pp}^\alpha$
P. P. Šhlekis
823

FLUID MECHANICS
The anomalous Doppler effect and radiative instability of the motion of oscillators in hydrodynamics
L. A. Ostrovsky, I. S. Dolina, A. V. Gaponov-Grekhov
827

GEOPHYSICS
Numerical modeling of zone-averaged field of stratospheric ozone
K. Ya. Kondrat'ev, Yu. B. Yanushanets
832

MATHEMATICAL PHYSICS
Processes in periodic media not describable in terms of mean characteristics
N. S. Bakhvalov, M. È. Èglit
836

PHYSICS
Electron radiation during the motion in the (001) plane of diamond
Yu. N. Adishchev, I. E. Vnukov, S. A. Vorob'ev, . N. Kalinin, A. P. Potylitsyn
841
Effect of translucent at during the nonlinear scattering on static optical inhomogeneous
G. B. Altshuler, V. S. Ermolaev
844
Effect of a magnetic field on the electrical conductivity of electrolyte solutions in heterogeneous systems
P. A. Aleksandrov, I. S. Gramberg, L. M. Marmorstein, V. E. Kazarinov, V. S. Krylov
848
Thermo-e.m.f. mechanism of the metal oxidation kinetics under the action of laser radiation
D. T. Alimov, V. A. Bobyrev, F. V. Bunkin, N. A. Kirichenko, B. S. Luk'yanchuk, Yu. N. Mitin, A. I. Omel'chenko, A. V. Simakin, P. Kh. Khabibullaev
850
On one feature of the energy transformation in the diffraction radiation generators – free-electron lasers
Yu. I. Evdokimenko, K. A. Lukin, I. D. Revin, B. K. Skrynnik, V. P. Shestopalov
853
A new channel of generation of the self-activated erbium crystal $\mathrm{KEr}(\mathrm{WO}_4)_2$
A. A. Kaminskii, A. A. Pavlyuk, A. I. Polyakov, V. V. Lyubchenko
856
Electrical properties and electronic structure of the niobium–molybdenum alloys
E. M. Savitskii, I. I. Mazin, Yu. A. Uspenskii
858
Point explosion in an exponential atmosphere with nonzero asymptote
S. A. Silich, P. I. Fomin
861

CRYSTALLOGRAPHY
Formation of the regularly oriented anisotropic structure during the recrystallization of gel membranes obtained at the front of true solution chemical reaction
V. G. Feklichev
875

Number 5

MATHEMATICS
The Gibbs phenomenon for the Walsh system
L. A. Balashov, V. A. Skvortsov
1033
Minimax solution of an equation of the first kind
Yu. A. Basistov
1035
Limit theorems for branching Markov processes
M. Yu. Belyaev, N. A. Berestova, S. A. Molchanov
1039
Some cases of complete integrability of the Euler equations, and applications
A. V. Brailov
1043
Pseudodifferential operators with complex variables and their applications
Yu. A. Dubinskii
1046
The register complexity of address machines
M. I. Kanovich
1050
Degenerate parabolic pseudodifferential operators of variable order
Nguyen Minh Chuong
1055
On an iteration method with fictitious unknowns
V. V. Rusanov, V. A. Karlin
1058
On an approach to the determination of equilibrium in elementary exchange models
V. I. Shmyrev
1062

CYBERNETICS AND THE REGULATION THEORY
Synthesis of control systems with quasicontinuous generation of controls
S. V. Emel'yanov, S. K. Korovin, B. V. Ulanov
1067
Control of objects with distributed parameters
K. S. Kolesnikov, A. P. Krishchenko, A. A. Zhevnin
1071
On the method of frozen coefficients in the synthesis of linear regulators
A. Pervozvansky
1075

FLUID MECHANICS
Filtration of a liquid with a free boundary in nonideal porous media with the nonlinear resistance law
V. P. Korobeinikov, I. S. Menshov
1078

THEORY OF ELASTICITY
General method for solving problems of the diffraction of elastic waves by deformable obstacles
M. Sh. Israilov
1082

GEOPHYSICS
Low-frequency vibratory movements of the earth crust block system after an earthquake
V. A. Belokopytov, I. P. Dobrovol'skii, N. I. Medvedev, A. K. Pevnev, V. S. Chudnovskii
1087
On the electromagnetic sounding of sedimentary cover by the artificial sources
E. P. Velikhov, Yu. A. Dreizin, I. M. Shamraev
1090

MATHEMATICAL PHYSICS
The scattering of waves described by the Klein–Gordon equation by an inclined half plane
S. A. Gabov, A. G. Sveshnikov, A. K. Shatov
1095
Filtration of a liquid with a free boundary in nonideal porous media with a nonlinear resistance law
V. N. Monakhov
1098
On the maximal invariance group and the general solution of the one- dimensional equations of gas dynamics
W. I. Fushchych, M. M. Serova
1102

PHYSICS
Influence of laser radiation on the absorption in the far wings of spectral lines
B. G. Ageev, E. P. Gordov, Yu. N. Ponomarev, S. D. Tvorogov, L. K. Chistyakova
1105
On the equality of the differential sections of secondary particles in the $\mathrm{pA}$- and $\pi^-\mathrm{A}$-interactions at high energies
S. A. Azimov, K. Olimov, A. A. Yuldashev, B. S. Yuldashev
1107
Nonstationary nature of bimolecular luminescence quenching
O. V. Braginskaya, N. A. Efremov, M. L. Isakova, V. Z. Pashchenko, L. B. Rubin
1109
On one possibility of the linear kinetic transillumination of the inhomogeneous plasma
N. S. Erokhin, S. S. Moiseev
1113

CRYSTALLOGRAPHY
On the decomposition of direct products of irreducible representations of the $C^4_{6v}$ group (lattices of the wurtzite- and $\mathrm{ZnO}$ type)
D. T. Sviridov, S. D. Sviridov, Yu. F. Smirnov
1125

Number 6

MATHEMATICS
The spectrum of the Schrödinger operator with periodic potential
O. A. Veliev
1289
Basic boundary value problems for the equation of oscillations of a stratified fluid
S. A. Gabov, P. V. Shevtsov
1293
On the solvability of a boundary value problem with an unknown parameter and an additional functional constraint of equality type
F. G. Maksudov, A. Kh. Shamilov
1297
Some properties of harmonic mappings in the case of spheres and Lie groups
A. I. Pluzhnikov
1300
Conditions for proximity of convolutions, and a nonclassical limit theorem
V. I. Rotar'
1303
Determining the branches of an analytic curve, and Newton polyhedra
A. Soleev
1305
On function systems in $k$-valued logic with closure operations of program type
V. A. Taimanov
1307
On estimates of meromorphic functions and summation of series in the root vectors of nonselfadjoint operators
A. A. Shkalikov
1310

CYBERNETICS AND THE REGULATION THEORY
Construction of automatic control algorithms by the force operation of manipulation robots
P. D. Krut'ko, N. A. Lakota, Y. P. Popov
1315
A geometric criterion for stability of discrete time-independent systems with a single nonlinearity
A. V. Lipatov
1318
A new empirical-statistical procedure for the text ordering and its applications to the problems of dating
A. T. Fomenko
1322

AERODYNAMICS
Asymptotic behavior of solutions of the Orr–Sommerfeld equation that yield unstable oscillations at large Reynolds numbers
V. I. Zhuk, O. S. Ryzhov
1328

FLUID MECHANICS
Motion of a spherical liquid film
Chyong Za Bin
1333

THEORY OF ELASTICITY
The problem of sudden coronary death in light of the mathematical theory of catastrophes
I. F. Obraztsov, G. G. Avtandilov, A. S. Vol'mir
1338

ASTRONOMY
Mean number of scatterings for radiation transfer with frequency distribution
G. A. Arutyunyan, A. G. Nikogosyan
1342

MATHEMATICAL PHYSICS
Soliton configurations of interacting massless fields
G. A. Alekseev
1347
Mathematical models of the superradiation kinetics
A. V. Andreev, O. Yu. Tikhomirov
1351
Optimization of multilayer structures during the passage of waves
G. D. Babe, E. L. Gusev
1354
The method of nonorthogonal series in problems of electromagnetic diffraction of waves by coated bodies
Yu. A. Eremin, A. G. Sveshnikov
1358
Stationary distribution of a system of interacting particles with discrete states
A. V. Kalinkin
1362

PHYSICS
Radiation spectrum at the planar channeling of electrons with dechanneling and collimation taken into account
V. N. Baier, V. M. Katkov, V. M. Strakhovenko
1365
Turbulent relaxation of counterstreaming plasma beams. Results of numerical simulation on the computer M-10
M. A. Berezovskii, I. V. Petrov, I. K. Konkashbaev, A. M. Rubenchik
1369
Electro optical effect in $\mathrm{GaP}$
Yu. N. Berozashvili, S. Z. Machavariani, A. G. Natsvlishvili
1372
On the viscosity of monoatomic and biatomic gases at intermediate temperatures
A. V. Danilov, A. M. Obukhov
1375
Chronometry cally invariant variations in the Einstein's theory of gravity
A. L. Zel'manov, Z. R. Khabibov
1378
Ionic electrical conductivity of proustite, $\mathrm{Ag}_3\mathrm{AsS}_3$, in the temperature range of $260$$760$ K
V. B. Zlokazov, L. Ya. Kobelev, S. V. Karpachev
1380

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{C}_{28}\mathrm{H}_{28}\mathrm{ClSb}$
K. N. Akatova, R. I. Bochkova, V. A. Lebedev, V. V. Sharutin, N. V. Belov
1389
Color symmetry and the time inversion in systems a half-integral resultant spin
I. I. Zheru
1392
Crystal- and molecular structure of $3{,}3$-dimethyl-$1,5,10,13,16$-pentaoxacyclodocosane-$6,9,17,20$-tetraone
S. T. Malinovskii, Yu. A. Simonov, N. G. Lukyanenko, V. A. Shapkin, A. V. Bogatskii
1395

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