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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)

Number 1
MATHEMATICS
Asymptotic properties of multiplicative estimates in accumulating data
Yu. K. Belyaev
11
On some problems of the convergence of multiple Fourier series and Fourier integrals of functions in $L_1$ when the summation is by squares
I. L. Bloshanskii
15
On the Sasaki metric of the tangent and normal bundle
A. A. Borisenko, A. L. Yampol'skii
19
Best approximation in a Banach space by a convergent sequence of subspaces of fixed dimension
V. L. Velikin
23
The Cartesian characteristic in Morse theory
R. V. Galiulin, V. A. Efremovich
26
On the genetic behavior of Bernstein algebras
A. N. Grishkov
27
On the torsion subgroup of Milnor $K$-groups
O. T. Izhboldin
30
Minimal global $B$-attractors of semigroups and of initial-boundary value problems for nonlinear partial differential equations
O. A. Ladyzhenskaya
33
Almost invariant structures and constructions of unitary representations of the group of diffeomorphisms of the circle
Yu. A. Neretin
37
On estimates for and the existence of solutions of a class of inverse problems for elliptic equations
A. Khaidarov
41

MECHANICS
Stability of inelastic, geometrically nonlinear discrete systems
A. M. Lin'kov
44

FLUID MECHANICS
One-dimensional flows of unipolarly charged aerosols with diffusional charging of particles of the disperse phase
G. L. Sedova, L. T. Chernyi
48

GEOPHYSICS
Nonlinear propagation of a modulated seismic vibro-signal
I. A. Beresnev, A. V. Nikolaev, V. S. Solov'ev, G. M. Shalashov
51
Nonstationary wave fields of point sources and reflection-refraction problems in nonlinear-elastic media
A. L. Litvin, I. D. Tsvankin
54
Numerical modeling of mantle convection
A. S. Monin, J. H. Seidov, O. G. Sorokhtin, Yu. O. Sorokhtin
58
A thermophysical mechanism of gravitational differentiation in a medium splitting under heating
L. M. Neumark
63
Temperature dependence of the absorption coefficient beyond the $4.3\mu$m band head of $\mathrm{CO}_2$
L. I. Nesmelova, O. B. Rodimova, S. D. Tvorogov
68

MATHEMATICAL PHYSICS
A generalized projection method
I. L. Verbitskii
72
Mathematical model unifying discrete concepts and Lagrangian method in the continuous medium description
K. E. Plokhotnikov
75

PHYSICS
On the mechanism of the X-radiation when the adhesion bonds are ruptured in vacuum
V. I. Berkov, A. G. Lipson, V. A. Klyuev, Yu. P. Toporov, B. V. Deryagin
80
The theory of contrast dissipative structures
Yu. D. Kalafati
83
Resonances of Tamm plasmons with bulk and surface optical phonons
N. S. Lidorenko, È. L. Nagaev, L. T. Kreshchishina
87

Number 2

MATHEMATICS
On extremal properties of compact surfaces on nonpositive extrinsic curvature
A. A. Borisenko
265
On extremal problems in the class $B_\sigma$
F. G. Nasibov
268
Two classes of proofs of lower bounds on complexity
R. G. Nigmatullin
272
Two-sided estimates for the Fourier–Haar multipliers
V. B. Osipov, O. B. Sadovskaya, E. M. Semenov
276
Linear independence of the root vectors for operator-valued functions that are analytic outside a disk
G. V. Radzievskii
278
On the topology of three-dimensional manifolds arising in Hamiltonian mechanics
A. T. Fomenko, H. Zieschang
283
On a property of the conjugate integral and the nonlinear Hilbert problem
M. A. Èfendiev
288

CYBERNETICS AND THE REGULATION THEORY
Optimization of an assembly process under conditions of automatized production
V. N. Burkov, G. S. Khulap
293
$L_2$-stability of stationary systems with several nonlinearities
F. R. Sadykov
297

MECHANICS
Generation of non ideal plasma by shock compression of highly porous metals
Yu. B. Khvostov
302

THEORY OF ELASTICITY
On the plastic hardening laws of aging materials
R. A. Arutyunyan, N. S. Adigamov, V. M. Chebanov
307

ASTRONOMY
Dating the “Almagest” from the proper motions of stars
Yu. N. Efremov, E. D. Pavlovskaya
310

GEOPHYSICS
The dynamics of the source “Chibiny” from physical modeling results
E. P. Velikhov, A. A. Zhamaletdinov, A. V. Veshev, M. A. Golubev, A. V. Yakovlev
314
On the influence of cloudiness breakdown degree on the radiation balance of emission in the atmosphere
B. V. Goryachev, V. V. Larionov, S. B. Mogilnitskii, B. A. Savel'ev
318
Medium-range weather forecast model
G. P. Kurbatkin, E. D. Astakhova, V. N. Krupchatnikov, V. È. Ryabinin, V. A. Sal'nik, V. D. Smirnov, A. V. Frolov
321

MATHEMATICAL PHYSICS
Evolution of the Whitham zone in KdV theory
V. V. Avilov, S. P. Novikov
325
A slit of zero width and the Dirichlet condition
I. Yu. Popov
330

PHYSICS
The polariton-like character of the nonlinear electromagnetic wave propagation under interband electron transitions in the direct-band semiconductors
A. L. Ivanov
335
Experimental investigation of X-ray radiation spectra under fast electron channeling in silicon
A. S. Kamyshan, F. F. Komarov, F. P. Korshunov, A. P. Lazar
339
The generalized Potts model for the description of polymer statistics
S. I. Kuchanov
342
Solar cell with the efficiency of $1$%, based on the $p$-$\mathrm{Si}$/polymeric material/$\mathrm{SnO}_2$ structure
L. B. Rubin, G. G. Untila, A. L. Kharitonov, A. S. Osipov
346

CRYSTALLOGRAPHY
The crystal structure of $\mathrm{Na}_{17}\mathrm{Ca}_3\mathrm{Mg}(\mathrm{Ti},\mathrm{Mn})_4[\mathrm{Si}_2\mathrm{O}_7]_2[\mathrm{PO}_4]_6\mathrm{O}_2\mathrm{F}_6$ – a new representative of the layered titanosilicate family
E. V. Sokolova, Yu. K. Egorov-Tismenko, A. P. Khomyakov
357

Number 3

MATHEMATICS
On polyharmonic functions
A. V. Bitsadze
521
Universal finite automata
A. M. Bogomolov, A. A. Sytnik
525
On orthogonal random vectors in a Hilbert space
N. N. Vakhania, N. P. Kandelaki
528
$cr$-envelopes of a ring of continuous functions
V. K. Zakharov
531
Transformations of equivalence and the hidden symmetry of evolution equations
V. V. Pukhnachov
535
Weighted classes of functions with degeneracy on manifolds of arbitrary dimension
Yu. D. Salmanov
539
Difference schemes for equations of magnetogasdynamics and their well-posedness “in the large”
Sh. Smagulov, I. D. Turetaev
542
On removable sets of solutions of second-order parabolic equations
V. S. Umanskii
545

CYBERNETICS AND THE REGULATION THEORY
On the adequacy of a mathematical model for the real object. Vector identification
M. D. Genkin, R. B. Statnikov, I. B. Matusov, M. D. Perminov
549
A condition for integrability in a problem of the aggregation of finite products
A. A. Shananin
553

AERODYNAMICS
Kinetic gas theory methods and foundations of a theory of dispersive media
V. V. Struminskii
556

FLUID MECHANICS
The phenomenon of the anomalous course of heat- and mass transfer processes in multiphase media
R. F. Ganiev, A. A. Dolinskii, N. I. Kobasko, K. V. Frolov
560

GEOPHYSICS
Numerical modeling of nuclear winter: the cooling of ocean upper layer and relaxation of climate
A. V. Ganopol'skii, G. L. Stenchikov
564
On the fracture criteria and Drucker's postulate
L. N. Germanovich, G. P. Cherepanov
568

MATHEMATICAL PHYSICS
On a method for generalized signal imaging
Yu. P. Zubkov, V. F. Kravchenko, V. L. Rvachev
573
Stability of relaxation auto-oscillations in systems with diffusion
A. Yu. Kolesov
575

PHYSICS
Nonlinear optical response of the surface in centrosymmetric semiconductors
O. A. Aktsipetrov, I. M. Baranova, D. A. Esikov, L. L. Kulyuk, E. D. Mishina, È. E. Strumban, V. I. Tsytsanu, S. A. Ratseev
579
Interaction between solvent- and impurity atoms near the structural phase transformation temperature of the host crystal
V. N. Bugaev, V. A. Tatarenko
583
The effect of reabsorbed line $\mathrm{H}_\alpha$ afterglow delay in expanding laser plasma
V. I. Derzhiev, A. G. Zhidkov, S. A. Mayorov, S. I. Yakovlenko
588
Dispersion and breakdown of gravity waves in a fluid
N. I. Krasilnikov
592
A two-barrier nucleation onto the active site of an energetically inhomogeneous surface
V. E. Smorodin
595
Detection of the metallic conductivity in the polymeric dielectric material containing the complexes of the metals with varied valencies
G. G. Untila, A. S. Osipov, E. V. Proleiko, L. B. Rubin, A. L. Kharitonov
599
Limit sensitivity at the continuous monitoring of the quantum probe system position
F. Ya. Khalili
602

Number 4

MATHEMATICS
Local and global estimates for the derivatives of the solutions of inhomogeneous hypoelliptic equations
V. I. Burenkov, K. R. Maman
777
An inequality for singular integrals in L. D. Kudryavtsev spaces
E. G. Guseinov
781
Lower bounds for the lengths of deductions in arithmetic in terms of the complexity of the terms involved in the deductions
V. P. Orevkov
784
On direct and inverse theorems for the best $L_p$-approximation on a sphere
Kh. P. Rustamov
788
On upper semicontinuous multivalued mappings
D. B. Silin
792
On the uniqueness of multiple trigonometric series and harmonic functions
A. A. Talalyan
796
Boundary uniqueness theorems for analytic functions of several complex variables
O. M. Eminyan
799

CYBERNETICS AND THE REGULATION THEORY
On the exact solution of problems of unification by correcting algorithms
B. I. Gol'dengorin
803
Algorithms for the trajectory control of the movement of manipulation robots
P. D. Krut'ko, N. A. Lakota
808
Games of probabilistic and deterministic algorithms of bounded complexity
M. A. Semenov, D. A. Terkel
811

THE MECHANICS OF CONTINUOUS MEDIUM
Development of extended closed tension cracks in brittle rock
L. V. Nikitin, V. N. Odintsev
814

THEORY OF ELASTICITY
Energy flux for the zero group velocity of a carrier wave
L. I. Slepyan, O. V. Tsareva
818

GEOPHYSICS
On the regularity in the distribution of geophysical medium fragments
E. Ya. Ostrovski, Y. S. Gorelik, V. V. Ratushnyi
823

MATHEMATICAL PHYSICS
Semi coherent transformations in elastic materials
M. A. Grinfel'd
828
Ill-posed problems of image processing
A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, I. V. Kochikov
832

PHYSICS
A model of globule – coil transition in heteropolymer with random primary structure
A. Y. Grosberg, E. M. Kaganova
838
Picosecond spectroscopy of the intermolecular proton phototransfer process in a solid polymer matrix
G. M. Esayan, O. V. Kalaĭdzidis, V. S. Pshezhetskiĭ, N. V. Zybina, A. A. Rakhnyanskaya, L. B. Rubin
842
Plasma instability in tokamak boundary layer
V. K. Kolesnikov, A. V. Nedospasov
845
Waveguide angled bend – a waveguide-type open resonator
L. A. Rud, V. P. Shestopalov
848
Kerr effect in solutions of aromatic polyester with para- and metaphenylene cycles in the chain
V. N. Tsvetkov, I. P. Kolomiets, A. V. Lezov, L. N. Andreeva, A. Yu. Bilibin, S. S. Skorokhodov
850

CRYSTALLOGRAPHY
Structural impurities as indicators of the mechanism of natural diamond growth
G. K. Blinova
868
The crystal and molecular structure of bicyclic crown ether-$1,1'$-bis[$3,6,9,12$-tetraoxacyclotridecane]
Yu. A. Simonov, S. T. Malinovskii, N. G. Lukyanenko, O. T. Mel'nik, T. I. Malinovskii
871


G. G. Chernii
776

Number 5

MATHEMATICS
Some remarks on the theory of surface waves of finite amplitude
K. I. Babenko
1033
Improved two-term asymptotics of the distribution function of the eigenvalues of an elliptic operator on a compact manifold
A. V. Volovoi
1037
On a fractional-linear pencil of differential operators of Sturm–Liouville type
M. G. Gasymov, R. T. Pashaev
1041
The Dirichlet problem for the biharmonic equation in a half strip
A. M. Gomilko, V. V. Meleshko
1045
On the asymptotic properties of functions that are holomorphic in tubular cones
B. I. Zavialov
1048
On the moduli of smoothness of functions given on a sphere
G. A. Kalyabin
1051
On the analytic representation of majorized operators
A. G. Kusraev
1055
On goodness-of-fit tests for parametric hypotheses in $R^m$
A. M. Nikabadze, È. V. Khmaladze
1058
Averaging of a three-dimensional problem of elasticity theory in an inhomogeneous plate
G. P. Panasenko, M. V. Reztsov
1061
On the structure of an algebra of symmetries for a one-field evolution equation
V. V. Sokolov
1065
On the widths of function classes
V. N. Temlyakov
1069
The action of an embedding operator on minimal sequences in a Banach space
V. V. Shevchik
1072

GEOPHYSICS
The influence of volcanic eruptions on the stratospheric ozone layer
N. F. Elansky, S. G. Zvenigorodskii, S. P. Smyshlyaev
1077

MATHEMATICAL PHYSICS
On phase transition in the Dicke model with two-photon interaction
A. A. Bakasov
1082

PHYSICS
Specificities of the heat exchange between a solid body and superfluid helium
V. P. Belyakov, N. M. Volkova, A. M. Makarov, V. A. Shaposhnikov
1087
Perturbation theory and the quasi-classical approximation in an energetic representation
P. V. Elyutin
1089
Phenomenon of photogeneration efficiency rising in amorphous polymer semiconductors over the range of absorption of the complex with charge transfer
N. G. Kuvshinskii, I. I. Lyashko, N. G. Nakhodkin, V. I. Strikha, V. M. Komko
1093
The law of magnetostatic oscillation dispersion and the magnetddynamic resonance in a plate of weak $\mathrm{FeBO}_3$ ferromagnetic
A. I. Pankrats, G. A. Petrakovskii, A. F. Smyk
1097
X-Ray spectroscopy investigation of the energy band structure of $\mathrm{CdCr}_2\mathrm{S}_4$
S. I. Radautsan, Yu. V. Sukhetskii, A. N. Gusatinskii, K. G. Nikiforov, A. V. Soldatov
1102
Formation and universal properties of the size distributions in the fragmentation theory
R. Z. Sagdeev, A. V. Tour, V. V. Yanovskii
1105

Number 6

MATHEMATICS
A local existence theorem in the theory of surface waves of finite amplitude
K. I. Babenko
1289
On exact constants in Sobolev embedding theorems
V. I. Burenkov, V. A. Gusakov
1293
On a criterion for randomness
V. G. Vovk
1298
A multidimensional model of rare random scatterers
A. G. Golitsyna, S. A. Molchanov
1302
Regularity of harmonic mappings as a consequence of an instability property
A. V. Tyrin
1306

CYBERNETICS AND THE REGULATION THEORY
Criteria for controllability of two-dimensional nonlinear systems in a domain with constraints on the control
S. V. Emel'yanov, S. K. Korovin, S. V. Nikitin
1310
Directed corrections in the method of harmonic balance
A. M. Krasnosel'skii
1314
Tabular principle in the information system engineering
I. F. Obraztsov, G. V. Krivoruchko, V. I. Rabinovich, M. P. Tsapenko
1319

FLUID MECHANICS
Resonance excitation and screening of waves in a rotating liquid
S. V. Bazdenkov, N. N. Morozov, O. P. Pogutse
1323
Turbulent diffusion in media subjected to rapid uniform deformation
V. L. Zimont, V. A. Sabel'nikov
1327
Dependence of turbulent viscosity on molecular viscosity
V. V. Novozhilov
1331

GEOPHYSICS
Annual variability of longitude-mean values of the components of Earth – atmosphere radiation budget derived from satellite data
F. I. Rudyaev, V. K. Trofimov
1336

MATHEMATICAL PHYSICS
The Sturm–Liouville operator with a nonlocal boundary condition of the second kind
V. A. Il'in, E. I. Moiseev
1340
The semi-inversion method in problems of wave diffraction on bifurcations of irregular plane waveguides
A. S. Il'inskii, A. A. Kuraev, G. Ya. Slepyan, A. Ya. Slepyan
1345
A class of selfadjoint operators connected with the $P(\varphi)_n$ model
E. T. Shavgulidze
1349
Estimates for the Ursell functions for fields with attraction
S. B. Shlosman
1354

PHYSICS
Application of metal resinate films in electron- and photolithography
V. P. Ageev, I. V. Baranenkov, K. A. Valiev, L. V. Velikov, V. I. Konov, A. I. Maslakov, V. M. Melnikov, A. M. Prokhorov
1358
Fractal properties of wave-overturning zones on sea surface
G. M. Zaslavsky, E. A. Sharkov
1362
Behavior of lead magnesium niobate crystal in the region of phase coexistence
G. A. Smolenskii, N. K. Yushin, S. I. Smirnov, S. N. Dorogovtsev
1366

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{NaBa}_6\mathrm{Nd}[\mathrm{SiO}_4]$
R. A. Tamazyan, Yu. A. Malinovskii
1377

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