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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)

Number 1
MATHEMATICS
Isoperimetric relations and conditions for the extension of differentiable functions
S. K. Vodopyanov
11
On the general definition of a matroid and a greedoid
I. M. Gel'fand, V. V. Serganova
15
Summability of expansions in eigenfunctions of selfadjoint operators
V. I. Gorbachuk
20
Stability of a finite-difference analogue of a two-dimensional problem of integral geometry
S. I. Kabanikhin, G. B. Bakanov
25
Interpolation inequalities for Fourier multipliers and their applications
S. V. Kislyakov
29
Decomposition for nonseparable extremal problems
I. S. Litvinchev
33
A new approach to generalized solutions of nonlinear systems
V. P. Maslov
37
Periodic motions of a nonlinearly viscous fluid
P. E. Sobolevskii
41
Invariant difference schemes for equations of gas dynamics
A. S. Shvedov
46

FLUID MECHANICS
Connection between invariants of the Reynolds stress tensor and the scheme of calculation of the fluctuation characteristics of turbulent flow
V. A. Pavlovsky
51

GEOPHYSICS
Pattern recognition of high-seismic zones in the Pyrenees
A. D. Gvishiani, A. I. Gorshkov, V. G. Kosobokov
56

MATHEMATICAL PHYSICS
The computer diagnostics of semiconductor crystals
A. V. Goncharsky, V. V. Stepanov
60
Nonlocal analogues of the nonlinear Boussinesq equation for surface waves over an uneven bottom and their asymptotic solutions
S. Yu. Dobrokhotov
63
On the evolution and stability of soliton-like solutions of perturbed equations of Boussinesq type
K. V. Mal'kov, M. M. Khapaev
68
Gravitational field as two-dimensional geometrodynamics, and dyadic coordinates
R. F. Polishchuk
73

PHYSICS
Magnetogasdynamic effects during the interaction of magnetoplasma compressor erosive plasma flows with a gas
N. V. Ardelyan, A. S. Kamrukov, N. P. Kozlov, K. V. Kosmachevskii, Yu. P. Popov, Yu. S. Protasov, A. A. Samarskii, S. N. Chuvashev
78
“Ball lightning” in the mixture of neutral gases
B. S. Kerner, V. V. Osipov
82
Fractal dimensionality of aggregates formed during the laser-induced evaporation of metals
A. A. Lushnikov, A. V. Pakhomov, G. A. Chernyaeva
86

Number 2

MATHEMATICS
Engel Lie algebras
E. I. Zel'manov
265
Approximation of multivalued mappings and the differentiability of marginal functions
A. M. Rubinov
269
An analogue of the multidimensional discontinuous Dirichlet multiplier for nonselfadjoint extensions of the Laplace operator
Ya. Sh. Salimov
272
Transformation of one-dimensional diffusion fields in a plane
I. D. Cherkasov
276

FLUID MECHANICS
Steady flows with constant vorticity
A. A. Abrashkin, E. I. Yakubovich
280
Finite-dimensional attractors in shear flows with feedback
P. R. Gromov, A. B. Zobnin, M. I. Rabinovich, A. M. Reiman, M. M. Sushchik
284
A model of a two-dimensional polarizing continuum
N. G. Taktarov
288
Charging of dispersed-phase particles in one-dimensional weakly ionized aerosol flows
L. T. Chernyi, A. V. Filippov, N. L. Vasil'eva
291

THEORY OF ELASTICITY
Some direct schemes of the potential method
N. A. Matekhin, N. F. Morozov, M. V. Paukshto
296
Scattering of a Rayleigh wave by an elastic half-strip end-coupled with an elastic half-plane
S. P. Pelts, V. M. Shikhman
299

ASTRONOMY
On the intensities of ultraviolet emission lines of $\mathrm{CIII}$ in planetary nebulae
G. A. Gurzadyan
304

GEOPHYSICS
On the problem of detection and estimation of the background levels of the atmospheric pollution components
Yu. A. Izrael, M. Ya. Antonovskii, V. M. Buchstaber, E. A. Zelenyuk
309
Seismic fields and catastrophe theory
O. B. Khavroshkin, V. V. Tsyplakov
313

MATHEMATICAL PHYSICS
Some integrable cases of the Euler equations. II
O. I. Bogoyavlenskii
318
On the method of discrete ordinates
N. B. Engibaryan, È. A. Melkonyan
322
Steady regimes of the Hutchinson equation with diffusion
S. A. Kashchenko
327
Rigorous results in the problem of two-level atom interaction with radiation
E. A. Kochetov
331
Quasiclassical asymptotics of the scattering amplitude and cross section
D. R. Yafaev
334

PHYSICS
Influence of photon shower on the creation of a highenergy electron – positron pair in crystals
A. I. Akhiezer, V. I. Truten', N. F. Shul'ga
338
Resonant ionization of laser-excited rubidium vapor. Competition of multiphoton- and collision ionization
S. A. Bakhramov, A. M. Kokhkharov, V. V. Tikhonenko, P. Kh. Khabibullaev
341
On the equations of charged superfluid hydrodynamics
V. A. Krasnikov
345
Phase relaxation of quantum parametric oscillator
S. S. Fanchenko
351
Determination of the discrepancy and of the stresses in the multilayer heterostructures of the $\mathrm{A}^\mathrm{III}\mathrm{B}^\mathrm{V}$ type
F. N. Chukhovskii, Yu. P. Khapachev
354
Magnetic properties of trans-polyacetylene films in low-temperature range
O. I. Shevaleevskii, N. G. Trusevich, L. L. Larina
357

Number 3

MATHEMATICS
A characteristic of extremals of variational problems
N. A. Bobylev
521
Strata of the maximal torus in a compact homogeneous space
I. M. Gel'fand, V. V. Serganova
524
The complexity of algebras of invariants of finite groups
N. L. Gordeev
528
Operator bases and the solvability of operator equations of the first kind
E. N. Domanskii, V. P. Fonf
531
Regularization of multidimensional inverse problems for hyperbolic equations on the basis of a projection method
S. I. Kabanikhin
534
Extraction of polynomial roots in the order of the increase of their moduli
V. E. Kondrashov
538
Integral perturbations of the operator of multiplication by an independent variable
N. I. Nagnibida
542
Separability by a fixed system of sets
A. G. Netrebin, Yu. A. Shashkin
546
On the Fermi–Ulam model
L. D. Pustyl'nikov
549
Application of the dynamic programming method to quadratic regulator problems for linear hyperbolic equations
M. R. Rakhimov
553
Representations of the rotation groups of Euclidean spaces, and special functions of matrix indices
A. V. Rozenblyum, L. V. Rozenblyum
558
Invertibility of a Toeplitz operator does not imply its invertibility by the projection method
S. R. Treil'
563
The theorem on spectral synthesis of ideals for a class of Banach algebras
L. G. Khanin
568

GEOPHYSICS
The sources of acoustic emission and the failure focus
L. D. Livshits, B. G. Gavrilov
572

MATHEMATICAL PHYSICS
Solution of a problem of mathematical processing of electroencephalographic data
E. V. Zakharov, Yu. M. Koptelov
576
Multidimensional nonlinear equations: systems of Bourlette type and their generalizations
M. V. Saveliev
582

PHYSICS
Auto oscillatory combustion of condensed systems with fixed temperature of reaction products
A. P. Aldushin, V. P. Filipenko
586
Numerical simulation of radiating plasmodynamic discharges of magnetoplasma erosive-type compressor
N. V. Ardelyan, A. S. Kamrukov, N. P. Kozlov, K. V. Kosmachevskii, Yu. P. Popov, Yu. S. Protasov, A. A. Samarskii, S. N. Chuvashev
590
Rotation of the soft X-radiation by a spherical surface
A. V. Vinogradov, V. M. Elinson, V. I. Zhilina, N. N. Zorev, G. F. Ivanovsky, I. V. Kozhevnikov, M. E. Plotkin, S. I. Sagitov, V. A. Slemzin, V. V. Sleptsov
594
On the value of the ground state energy and energy of electron-electron interaction of atoms of chemical elements
A. V. Gorokh
597
On the possibility of obtaining the supercooled plasma in a powerful pulsed SHF discharge
A. N. Didenko, V. M. Petrov, V. N. Slinko, S. S. Sulakshin, Yu. G. Yushkov
601
Projection of images onto a large screen using MDS-LC cells and quantum amplifiers
Yu. D. Dumarevskiĭ, K. I. Zemskov, M. A. Kazaryan, N. F. Kovtonyuk, L. V. Medvedeva, G. G. Petrash, A. I. Savin
604
X-Ray study of the $(\mathrm{InP})_x(\mathrm{InAs})_{1-x}$ solid solutions in the $7$$310$ K temperature range
N. N. Sirota, A. A. Sidorov
607

Number 4

MATHEMATICS
Multidimensional singular integral equations in Hölder spaces with a weight
S. K. Abdullaev
777
Injectivity in the domain of open isolated mappings with given boundary properties
F. G. Avkhadiev
780
A spectral method for solving matrix algebraic Riccati equations
F. A. Aliev, B. A. Bordyug, V. B. Larin
783
Duality of faces of the unit sphere in Banach spaces
L. P. Vlasov, G. M. Ustinov
788
Geometric properties of domains and estimates for the norm of an extension operator
S. K. Vodopyanov
791
Continual analogues of inequalities of Bessel and Hausdorff–Young type for the one-dimensional Schrödinger operator with arbitrary spectrum
V. V. Gavrilov
796
A remark on the structure of the set of deficient divisors
I. M. Dektyarev
800
The absence of an additional first integral in a problem of the dynamics of a rigid body
S. L. Ziglin
804
Some properties of unfoldings of conformal structures on $3$-manifolds
M. È. Kapovich
807
Invariant ternary algebras on simple Lie algebras
O. V. Manturov, I. A. Degterev
810
Solution of a multidimensional inverse scattering problem on the basis of generalized dispersion relations
R. G. Novikov, G. M. Henkin
814
Application of the methods of spectral decomposition and dynamic programming to linear-quadratic programming problems
M. R. Rakhimov
818

GEOPHYSICS
Regularity of the fractionation of chemical elements in the process of their carrying out from the ocean into the atmosphere
V. D. Korzh
822

MATHEMATICAL PHYSICS
Ideal gas adiabatic motions in Lagrange coordinates
V. A. Vinokurov
828
Diffraction of a plane wave by an elongated body
M. V. Fedoryuk
833

PHYSICS
Non-linear ion density waves in the near-cathode layer of nonuniform gas discharge plasma
V. A. Bityurin, A. A. Kulikovskii, G. A. Lyubimov
836
A mechanism of molecular negative ion formation at low electron energy by molecules of metallocenes
V. I. Khvostenko, N. L. Asfandiarov, G. A. Tolstikov
840

CRYSTALLOGRAPHY
The crystal- and stereoelectronic structure of methyl(benzoyloxymethyl)difluorosilane
M. G. Voronkov, È. A. Zelbst, V. S. Fundamenskii, A. A. Kashayev, L. I. Gubanova, N. N. Chipanina, Yu. L. Frolov
859

Number 5

MATHEMATICS
Multiple expansions in a system of eigen- and associated elements of noncompact polynomial operator pencils
A. M. Akhmedov
1033
Iterative methods with saddle operators
E. G. D'yakonov
1037
Majorization of linear operators
A. G. Kusraev, V. Z. Strizhevskii
1042
Potentials of linear operators and the reduction of boundary value problems to boundary equations
M. I. Lazarev
1045
Measurable selections of multivalued mappings and the problem of mass transfer
V. L. Levin
1048
Differential calculus on measurable spaces and smoothness conditions for densities of distributions of random variables
N. V. Smorodina
1053
Singularities of differential equations on complex manifolds
B. Yu. Sternin, V. E. Shatalov
1058
On the problem of the global extremum
A. S. Strekalovskii
1062
Quantitative estimation of the local minimum point in nonlinear parametric programming
È. F. Tamm
1067
A method for constructing Stokes matrices
A. I. Tovbis
1069
Representation by random graphs and signs of the Ursell functions
S. B. Shlosman
1074

CYBERNETICS AND THE REGULATION THEORY
Forced oscillations in systems with hysteresis nonlinearities
A. M. Krasnosel'skii
1078

GEOPHYSICS
Compilation of earthquake catalogs as a task of clustering analysis with learning
P. N. Shebalin
1083

MATHEMATICAL PHYSICS
A two-dimensional generalization of the integrable Steklov equation in the problem of the movement of a rigid body in a fluid
P. I. Holod
1087
On the hydrodynamics of a charged superfluid in an external electromagnetic field
M. Yu. Kovalevsky, A. M. Kurbatov
1091

PHYSICS
On the manifestation of discrete property in solids during their failure
V. N. Bovenko, L. Zh. Gorobets
1095
Quantum mechanics as a theory of a non-Markov random process
V. P. Dmitriev
1101
Localization of increasing acoustic oscillations in inhomogeneous MHD flow
I. M. Rutkevich, P. M. Tokar'
1106
On the regularity determining the relationship between composition and structure of perovskite-type oxides and ferroelectric state
E. G. Fesenko, A. T. Shuvaev
1110

CRYSTALLOGRAPHY
The change of $\mathrm{Fe}^{3+}$ structural position under melting of acmite in the $\mathrm{NaFeSi}_2\mathrm{O}_6$$\mathrm{Na}_2\mathrm{Si}_2\mathrm{O}_5$$\mathrm{SiO}_2$ system from the Mössbouer spectroscopy data
A. M. Bychkov, A. V. Polosin, V. S. Urusov
1127

Number 6

MATHEMATICS
Integrable mappings and Lie algebras
A. P. Veselov
1289
Strict regularizability of linear inverse problems
V. A. Vinokurov
1292
A class of local translation-invariant Lie algebras
E. I. Zel'manov
1294
A new approach to variational problems of the theory of quasiconformal mappings
S. L. Krushkal'
1297
Measurable dynamics of an exponential
M. Yu. Lyubich
1301
Boundary distortion under conformal mappings and the Hausdorff dimension
N. G. Makarov
1304
A mixed problem for the vector wave equation
N. G. Marchuk
1307
Algebra of infinite-dimensional pseudodifferential operators
O. G. Smolyanov, A. Yu. Khrennikov
1310

CYBERNETICS AND THE REGULATION THEORY
Single-circuit systems with several nonlinearities, which satisfy the generalized Aĭzerman–Kalman hypothesis
M. I. Gil'
1315

MECHANICS
On the nature of “super deep” penetration of solid microparticles in hard materials
S. S. Grigoryan
1319

THEORY OF ELASTICITY
Mechanism of the anomalously low drag during the motion of bodies in solid media
G. G. Chernii
1324

GEOPHYSICS
On the structure of the Venusian atmosphere cloud layer (project “Vega”)
Yu. V. Zhulanov, L. M. Mukhin, D. F. Nenarokov, A. A. Lushnikov, I. V. Petryanov
1329
On the generation and waveguide propagation of internal gravitational wave during great fires
E. A. Ivanov, N. A. Korneev, S. B. Leble, M. V. Pedanov, G. P. Chernikov
1333

MATHEMATICAL PHYSICS
In the class of homogeneous polyhedra homeomorphic to a ball, the solution of the inverse Newtonian potential problem is unique
M. A. Brodskii, V. N. Strakhov
1337
Periodic action-induced modification of the potential function of a mechanical system
A. K. Vidybida
1341
Nonisothermic motion of a gas through a network mesh with cycles
V. V. Kafarov, I. N. Dorokhov, V. F. Shirikov, V. V. Shershkov
1346
Analytic continuation of a wave field in the problem of scattering of a plane wave by a periodic surface
A. G. Kyurkchan
1350
Soliton multiplets of the Kortweg–de Vries equation
R. A. Sharipov
1356

PHYSICS
The optical field distribution within the spherical particle
N. N. Belov
1360
Electrical phenomena in ball lightning
B. M. Smirnov
1363
The closure problem in turbulence theory and the renormalization group
A. V. Tour, V. V. Yanovskii
1368
Kinematic waves; multistreams; stochasticity
G. M. Fraiman
1372

CRYSTALLOGRAPHY
Atomic structure of $\beta$-phase of $\mathrm{Li}_3\mathrm{Sc}_2(\mathrm{PO}_4)_3$ and $\mathrm{Li}_3\mathrm{Fe}_2(\mathrm{PO}_4)_3$ crystals
I. P. Kondratyuk, B. A. Maksimov, L. A. Muradyan
1376

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