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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)

Number 1
MATHEMATICS
Stability of the inverse Sturm–Liouville problem for a finite interval
A. A. Alekseev
11
$R$-factor mappings of spaces with a countable base
A. V. Arkhangel'skii
14
Single-valued dense solvability of a plane ill-posed problem for the biharmonic equation
M. A. Atakhodzhaev
18
Classical solvability of the nonstationary Stefan problem with convection
B. V. Bazalii, S. P. Degtyarev
20
The fundamental mixed problem for a higher-order equation with two perpendicular lines of degeneration
K. B. Baikuziev
25
The method of vector Lyapunov functions in time-optimality problems
S. N. Vasil'ev
29
Lie groups with lattices and their properties
V. V. Gorbatsevich
33
Uniform quasi-asymptotic behavior of the solution of the Cauchy problem for a hyperbolic equation
A. K. Gushchin, V. P. Mikhailov
37
Invariant subspaces of an additive cluster operator
H. Żołądek
41
Uniform quasistabilization of solutions of the second mixed problem for a hyperbolic equation
Yu. A. Mikhailov
45
Existence in $k$-valued logic of maximal classes not having a finite basis
E. A. Mikheeva
49
The Faber–Dirichlet operator and its properties
B. Kh. Oligov
53
Optimization of approximate methods of solution of integral equations
S. V. Pereverzev
58
Optimal estimates of linear functionals of solutions of operator equations of the first kind with random errors in the data
A. M. Fedotov, O. V. Levchuk
63
The Jackson–Bernstein theorem in strictly pseudoconvex domains in $\mathbf{C}^n$
N. A. Shirokov
66
A frequency theorem for periodic systems
V. A. Yakubovich
70

THEORY OF ELASTICITY
Limit values of the stress operator for elastic potential of a single layer of a medium with arbitrary anisotropy
A. E. Osokin
74

GEOPHYSICS
Investigation of Siberian subcrustal lithosphere by the method of seismic tomography
Yu. A. Burmakov, L. P. Vinnik, A. V. Egorkin, N. M. Chernyshev
78
The quaternary Glaciation modeling
M. Ya. Verbitskii, A. S. Monin, D. V. Chalikov
82
Nonantropogenic sources of earth's atmosphere halogenocarbons
V. A. Isidorov, B. V. Ioffe
86
Hydromagnetic oscillations of the magnetosphere-ionosphere resonator
A. E. Lifshits, E. N. Fedorov
90
Cryosphere and zoning of soil-reclamation processes
P. I. Melnikov, V. A. Kovda, A. A. Sharbatyan
94

MATHEMATICAL PHYSICS
Singularly perturbed systems containing singular manifolds
M. M. Khapaev, G. V. Sholin
99

PHYSICS
On the absence of collision damping of plasma oscillations
V. B. Bobrov, S. A. Triger
104
Stochastization of impedance self oscillations in metals in current state
I. F. Voloshin, V. S. Kravchenko, L. M. Fisher
107
On the mechanism of titanium carbidization in nonisothermal conditions
A. A. Zenin, Yu. M. Korolev, V. T. Popov, Yu. V. Tyurkin
111
On the radiative transfer in cylindrically symmetric media
A. K. Kolesov
115

CRYSTALLOGRAPHY
The crystal- and molecular structure of $\mathrm{N}$-para-methoxy-benzoyl-$\mathrm{N}'\mathrm{N}'\mathrm{N}"\mathrm{N}"$-diethylenetriamide phosphoric acid
L. I. Zhdanova, V. N. Biyushkin, T. I. Malinovskii, L. D. Protsenko
119
Molecular and crystal structure of the trans-bis(dimethylglyoximato)bis(dibutylphenylarsine) iron $(\mathrm{II})$
Yu. A. Simonov, V. E. Zubareva, I. I. Bulgak, K. I. Turte, V. K. Belsky, D. G. Batyr, T. I. Malinovskii
122
Crystal structure of synthetic $\mathrm{Fe}^{3+}$-elpasolite $\mathrm{K}_2\mathrm{NaH}^+_{1,2}\mathrm{Fe}^{3+}_{0,6}\mathrm{F}_6$
O. V. Yakubovich, M. A. Simonov, O. K. Melnikov, V. S. Urusov
126

Number 2

MATHEMATICS
On Lord's paradox on mean absolute deviation
N. N. Vakhania
265
On the theory of functional-differential equations with locally Volterra operators
S. A. Gusarenko, E. S. Zhukovskiy, V. P. Maksimov
268
Structures of finite degenerations of families of curves on affine surfaces and characterization of the affine plane
M. G. Zaidenberg
272
Imbedding in BMO and $\exp L^\alpha$ spaces
V. I. Kolyada
277
On the theory of bounded solutions of a generalized Cauchy–Riemann system
È. Muhamadiev, S. Baizaev
280
Probabilistic inequalities for sums of independent random variables with values in a Banach space
S. V. Nagaev
284
Stability of pseudoconvex domains
M. Shirinbekov
286

MECHANICS
Quasiequilibrium positions of the Chelomei pendulum
I. I. Blehman, O. Z. Malakhova
290

AERODYNAMICS
On the Ferry singularity point on the windward side of $\mathrm{V}$-shaped wings
N. A. Ostapenko
295

FLUID MECHANICS
Minimum moment acting on a body rotating in a viscous liquid
M. A. Brutyan, P. L. Krapivsky
299

THE MECHANICS OF CONTINUOUS MEDIUM
Acoustic emission in the process of coherent fracture
V. I. Ivanov
302

ASTRONOMY
Breakup of a comet as a possible cause of the impact structure group formation
V. A. Bronshten
307

MATHEMATICAL PHYSICS
On the uniqueness of solution of the inverse problem of X-ray diffraction on thin single crystals
A. V. Goncharsky, A. A. Stepanov
309
On the optimal mathematical design of electromagnet systems
S. P. Krekoten, A. S. Leonov, V. G. Sukharevsky
312
A method of freezing of nonlinear integro-differential equations
Kh. Movlyankulov, A. N. Filatov
317
Nonlinear Galilei-invariant generalization of Lamé equations
W. I. Fushchych, S. L. Slavutskii
320

PHYSICS
Investigation of the Frederiks transition in a molecular dynamics model of liquid crystal
A. D. Bagmet, I. I. Novikov, A. L. Tsykalo
324
On the theory of Landau phase transitions in elastoplastic bodies
V. G. Bar'yakhtar, V. V. Tokii, D. A. Yablonskii
328
Incandescent-breakdown many-point luminescence of ball lightning
B. V. Voitsekhovskii, M. B. Voitsekhovskii
331
The influence of magnetic field on the photoluminescence of $\mathrm{TlGaS}_2$ crystals
È. Yu. Salaev, G. I. Abutalybov, V. F. Agekyan
334
Thermophoresis of hydrodynamically interacting aerosol particles
Yu. I. Yalamov, A. P. Melekhov, M. N. Gaidukov
337

CRYSTALLOGRAPHY
New compounds of pentacoordinate silicon – $(\mathrm{Si}\leftarrow\mathrm{O})$-($2$-organylsulfinylethyl) trifluorosilanes
È. A. Zelbst, V. S. Fundamenskii, A. A. Kashayev, M. S. Sorokin, Yu. L. Frolov, M. G. Voronkov
342
Investigation of the temperature distribution during the deformation of $\mathrm{NaCl}$ single crystals using cholesteric liquid crystals
G. M. Zinenkova, N. A. Tyapunina, N. L. Sizova, M. I. Silis, V. R. Regel
345
Two structural types of $\mathrm{Hg}\mathrm{(II)}$ complexes with cis, syn, cis-dicyclohexyl-$18$-crown-$6$
N. F. Krasnova, Yu. A. Simonov, V. K. Belsky, M. B. Korshunov, V. V. Yakshin, B. N. Laskorin
348

Number 3

MATHEMATICS
Morse and Maslov indices for the extremals of controllable systems
A. A. Agrachev, R. V. Gamkrelidze
521
Hurewicz spaces, analytic sets and fan tightness of function spaces
A. V. Arkhangel'skii
525
Asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding domains
A. M. Budylin, V. S. Buslaev
529
Versal deformations of cohomology classes and complex supermanifolds
A. Yu. Vaintrob
532
Partial symmetries of systems of differential equations
E. M. Vorob'ev
536
A nonlinear equation of “rapid diffusion” in $\mathbf{R}^N$
V. A. Galaktionov, S. A. Posashkov
539
Summability of generalized Fourier series in a weighted metric and almost everywhere
K. S. Kazarian
543
On the problem of coefficients for univalent functions with a quasiconformal extension
S. L. Krushkal'
547
Maximum principles for equations of hyperbolic and mixed types in nonclassical domains
M. E. Lerner
550
Equations in a free topo-Boolean algebra and the substitution problem
V. V. Rybakov
554
Convergent difference schemes for equations of a viscous gas
B. R. Rysbaev, Sh. Smagulov
558
Mixed problems for the linearized Korteweg–de Vries equations, degenerating over time into parabolic ones
N. J. Yurchuk
560

CYBERNETICS AND THE REGULATION THEORY
A class of rules for choice of a criterion
V. I. Ivanenko, V. A. Labkovskii
564
Problems of direct classification in decision-making
O. I. Larichev, E. M. Moshkovich
567

FLUID MECHANICS
Formation of a two-soliton internal wave in stratified flow around an obstacle
K. A. Bezhanov, A. M. Ter-Krikorov
571
Steady potential waves of finite amplitude
A. S. Monin
574

THEORY OF ELASTICITY
Volterra dislocations in nonlinearly elastic bodies
L. M. Zubov
579

GEOPHYSICS
Generation of long-wave acoustic perturbations by turbulent thermal in the atmosphere
Yu. A. Gostintsev, Yu. V. Shatskikh, E. A. Ivanov
583
An application of power moment technique for the description of deep earthquake source process
A. A. Gusev, V. M. Pavlov
586
On the problem of hydrodynamics of the active zones of transition from the ocean to the continent
A. B. Efimov, S. S. Demin
590
Correlation between the features of seismicity spatial distribution and earth crust resistivity profile in the Garm region
V. I. Zhuravlev, A. Ya. Sidorin
595
Numerical modeling of the nuclear winter taking into account of aerosol spreading
G. L. Stenchikov
598

MATHEMATICAL PHYSICS
Limits of the variation of specific volume of the vapor-gas-liquid systems with separate volumes of vapor and gas
G. M. Arutyunyan
603
Rational multisoliton solutions of the nonlinear Schrödinger equation
V. M. Eleonskii, I. M. Krichever, N. E. Kulagin
606

PHYSICS
Theoretical investigation of the Auger spectrum of diamond
V. G. Aleshin, O. P. Bugaets, Yu. N. Kucherenko, V. V. Nemoshkalenko
611
On the transmission of electron beam through electronegative gases
V. P. Bashurin, S. D. Velikanov, A. Ya. Dovgii, N. V. Ivanov, A. V. Pushkin, M. V. Sinitsyn, V. V. Shurov
614
A new type of critical behavior in coupled systems at the transition to chaos
B. P. Bezruchko, Yu. V. Gulyaev, S. P. Kuznetsov, Y. P. Seleznev
619
Phase diffraction gratings with prescribed parameters: one inverse problem in optics
A. E. Bereznyi, S. V. Komarov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soifer
623

CRYSTALLOGRAPHY
Crystal- and molecular structure of $1$-(triethyleneamido)phosphazo-$1{,}1$-(diethyleneamido)-$2,2,2$-trichlorethane
L. I. Zhdanova, V. N. Biyushkin, I. E. Boldeskul, V. Ya. Semenii, T. I. Malinovskii
635

Addendum: “The maximum principle for the Euler-Tricomi equation”
K. I. Babenko
520

Number 4

MATHEMATICS
Spectral properties of a class of differential operators with almost-periodic coefficients and their perturbations
M. G. Gasymov, A. D. Orudzhev
777
Numerical solution of elliptic problems by the method of projections on sequences of grids
V. V. Kucherenko
781
Uniform asymptotic stability of a singularly perturbed system based on the Lyapunov matrix-function
A. A. Martynyuk
786
Classes of meromorphic functions characterized by a spherical derivative
Sh. A. Makhmutov
789
Local fractality
A. S. Monin, M. V. Jakobson
795

CYBERNETICS AND THE REGULATION THEORY
Entropy approach to the estimation of automatic control system performance
V. V. Petrov, V. I. Sobolev
799

FLUID MECHANICS
The problem of gas toroide expansion
V. I. Khudyakov
802

THEORY OF ELASTICITY
Method of composite equations in the theory of cylindrical shells
I. V. Andrianov, A. N. Pasechnik
806
Damage accumulation and rupture of polymethylmethacrylate under creep and fatigue loading
R. A. Arutyunyan, V. V. Drozdov, L. I. Doktorenko, V. M. Chebanov
810

ASTRONOMY
Stochasticity and regularity of disc-shaped stellar systems
V. G. Gurzadyan, A. A. Kocharyan
813

MATHEMATICAL PHYSICS
A formulation of an inverse boundary value problem for the wave equation and an iterative method for its solution
A. V. Baev
818
Asymptotic solutions in a uniaxial cylindrical magnetic domain film
V. P. Maslov, V. M. Chetverikov
821
A gradient algorithm for construction of criteria for integrability of nonlinear dynamical systems
A. K. Prikarpatskii
827

PHYSICS
Optically controlled spatial light modulation in liquid-crystal interforometer
Yu. D. Dumarevskiĭ, N. F. Kovtonyuk, I. N. Kompanets, A. V. Parfenov, A. I. Savin
833
Chromatography of the charcoal combustion process in ozone absorbed by charcoal
V. G. Plyukhin, B. M. Smirnov
836
Selective laser spectroscopy of complex molecules in inhomogeneous matrices: model calculation
M. N. Sapozhnikov
839

Number 5

MATHEMATICS
Varieties of quasiregular algebras
V. A. Andrunakievich, Yu. M. Ryabukhin
1033
An evolution equation arising in the hydroacoustics of a stratified fluid
S. A. Gabov
1037
Equiconvergence in the mean on a compactum of spectral expansions in a multiple biorthogonal series and a multiple Fourier series
G. A. Il'yushina, N. Ch. Krutitskaya
1041
A class of game theory constructions that are of interest in ecology
N. S. Kukushkin, I. S. Menshikov, O. R. Men'shikova, N. N. Moiseev
1044
Analytic description of a bundle of viable trajectories of a differential system
A. B. Kurzhanskii
1047
Behavior for large time values of nonnegative solutions of the second mixed problem for a parabolic equation
A. V. Lezhnev
1050
Spherical functions on pseudo-Riemannian symmetric spaces of rank $1$
V. F. Molchanov
1054
Uniformization of spaces of meromorphic functions
S. M. Natanzon
1058
Calculation of networks and dual problems of convex programming
I. F. Obraztsov, A. D. Gvishiani, V. A. Gurvich
1062
Quasiconformal and quasi-isometric reflections
D. A. Trotsenko
1067
A Morse theory for integrable Hamiltonian systems
A. T. Fomenko
1071
“Quantum” deformations of irreducible finite-dimensional representations of $\mathfrak{gl}_N$
I. V. Cherednik
1076
Necessary and sufficient conditions for existence of the classical solution of a mixed problem for a one-dimensional wave equation
V. A. Chernyatin
1080

CYBERNETICS AND THE REGULATION THEORY
Analysis of the functioning of Markov automata in random environments
V. S. Korolyuk, A. I. Pletnev, S. D. Èidel'man
1084
Functional imaging of biological objects
Yu. V. Gulyaev
1088
Optimal direct adaptive control for systems with lag
Ya. Z. Tsypkin
1092

GEOPHYSICS
The oscillatory regime of the evolution of the Earth–Moon system and its comparison with geological processes in the Phanerozoic
Yu. N. Avsyuk
1097
On the radiation of transverse waves from an explosion in a prestressed medium
V. I. Kulikov
1101

MATHEMATICAL PHYSICS
Some integrable cases of the Euler equations
O. I. Bogoyavlenskii
1105
Scattering by a circular resonator with a narrow slit as a problem of perturbation theory
V. Yu. Gotlib
1109

PHYSICS
New notion about the proper optical breakdown of transparent dielectrics
L. B. Glebov, O. M. Efimov, M. N. Libenson, G. T. Petrovskiĭ
1114
Domains of Theological fields
T. Ya. Gorazdovskii
1118

GEOCRYOLOGY
Investigation of the heat-and moisture transfer in frozen soils around the thermopile
I. I. Nesterov, Yu. S. Danielian, P. A. Yanitskii
1127

CRYSTALLOGRAPHY
Determination of the orientation in space of randomly located identical particles of unknown structure from their projections
B. K. Vaĭnshteĭn, A. B. Goncharov
1131

Number 6

MATHEMATICS
A spectral problem of Bitsadze–Samarskii
Sh. A. Alimov
1289
Solutions of the type of localized solitary waves for quasilinear parabolic equations of diffusion with chemical reactions
K. A. Volosov, V. G. Danilov, N. A. Kolobov, V. P. Maslov
1290
Two boundary value problems in a bounded plane domain for a general linear elliptic system of two second-order equations
A. Dzhuraev
1295
Propagation of singularities of solutions of dissipative boundary value problems for symmetric hyperbolic systems
V. Ya. Ivrii
1299
Some statistical estimates of the solution of integral equations
A. A. Kronberg
1302
Estimates of derivatives on infinite intervals
L. D. Kudryavtsev
1306
Solvability and uniqueness of the solution of a nonlinear mixed problem of thermoelasticity
F. G. Maksudov, K. Ya. Leonov
1310
An asymptotic method for constructing implectic and recursion operators of completely integrable dynamic systems
Yu. A. Mitropol'skii, A. K. Prikarpatskii, V. G. Samoilenko
1312
The problem of control of a linear system with disturbances
M. S. Nikol'skii
1317
Bloch homology. Critical points of functions and closed 1-forms
S. P. Novikov
1321
Unsteady waves over an underwater elastic ridge
A. Fraguela
1325
Transformation of a one-dimensional diffusion process into a Wiener process applying a random change of the phase space
I. D. Cherkasov
1329
Approximation of the solution of the Dirichlet problem for a nonlinear elliptic equation in an unbounded domain
L. Shimon
1334

CYBERNETICS AND THE REGULATION THEORY
Higher-order sliding regimes in binary control systems
S. V. Emel'yanov, S. K. Korovin, L. V. Levantovskii
1338
A method of organizing fault-tolerant computations
V. N. Kondrat'ev, V. F. Kravchenko, V. L. Rvachev
1342
Stochastic principle of the minimum of generalized work
A. A. Krasovskii
1345

THEORY OF ELASTICITY
Elastic constructions of minimal volume satisfying strength requirements
L. V. Petukhov
1350

GEOPHYSICS
The study failure precursors on a model of heterogeneous medium
M. A. Sadovskii, G. A. Sobolev, V. O. Andreev, O. V. Babichev, E. L. Irisova, A. V. Koltsov, V. I. Lykov, A. V. Ponomarev, V. I. Ponyatovskaya, V. Potuzhak, B. G. Salov, V. A. Terent'ev, A. A. Khromov, O. G. Shamina
1354

MATHEMATICAL PHYSICS
Solution of an inverse problem for the wave equation on an interval by the method of successive approximations
A. V. Baev
1358
A theory of the channelled surface polariton reflection from an interface line
A. I. Voronko, L. G. Klimova, G. N. Shkerdin
1362

PHYSICS
Electron-positron pair production at the deutron capture by $\alpha$-particles
A. I. Akhiezer, M. P. Rekalo
1365
Computer modeling of the nonstationary electron processes in $n-p^+$$n$ heterojunction bipolar transistors
N. A. Bannov, V. I. Ryzhii, A. A. Svyatchenko
1368
The initiation of heterocatalytic reactions by laser pulse
V. V. Barelko, A. M. Bonch-Bruevich, Yu. E. Volodin, A. A. Doman, Ya. A. Imas, M. N. Libenson, S. M. Minaev, P. I. Khalzov
1373
Structural phase transitions in gases in a laser radiation field
F. V. Bunkin, N. A. Kirichenko, V. L. Tomashevskiy
1376
Shift of the absorption edge in irradiated amorphous silicon nitride
V. A. Gritsenko, A. V. Rzhanov, S. P. Sinitsa, V. I. Fedchenko, G. N. Feofanov
1381
The internal deformation energy and the possibility of ordering in the $\mathrm{A}^3_x\mathrm{B}^3_{1-x}\mathrm{C}^5$ solid solutions
V. A. Elyukhin, L. P. Sorokina
1384
On two states of Tokamak peripheral plasma
A. V. Nedospasov, M. Z. Tokar'
1387
Influence of hydrogen on the form of the amorphous iron distribution function using the data of molecular dynamics modeling
V. A. Polukhin, N. A. Vatolin, R. M. Belyakova, È. A. Pastukhov
1391

CRYSTALLOGRAPHY
On the restoration of strain and damage distributions in thin subsurface layers from X-ray rocking curves
A. M. Afanas'ev, S. S. Fanchenko
1395

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