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 Author Index

 Dokl. Akad. Nauk SSSR, Volume 112 (1957)

 Dokl. Akad. Nauk SSSR, Volume 113 (1957)

 Dokl. Akad. Nauk SSSR, Volume 114 (1957)

 Dokl. Akad. Nauk SSSR, Volume 115 (1957)

 Dokl. Akad. Nauk SSSR, Volume 116 (1957)

 Dokl. Akad. Nauk SSSR, Volume 117 (1957)

 Dokl. Akad. Nauk SSSR, Volume 118 (1958)

 Dokl. Akad. Nauk SSSR, Volume 119 (1958)

 Dokl. Akad. Nauk SSSR, Volume 120 (1958)

 Dokl. Akad. Nauk SSSR, Volume 121 (1958)

 Dokl. Akad. Nauk SSSR, Volume 122 (1958)

 Dokl. Akad. Nauk SSSR, Volume 123 (1958)

 Dokl. Akad. Nauk SSSR, Volume 130 (1960)

 Dokl. Akad. Nauk SSSR, Volume 131 (1960)

 Dokl. Akad. Nauk SSSR, Volume 132 (1960)

 Dokl. Akad. Nauk SSSR, Volume 133 (1960)

 Dokl. Akad. Nauk SSSR, Volume 134 (1960)

 Dokl. Akad. Nauk SSSR, Volume 135 (1960)

 Dokl. Akad. Nauk SSSR, Volume 136 (1961)

 Dokl. Akad. Nauk SSSR, Volume 137 (1961)

 Dokl. Akad. Nauk SSSR, Volume 138 (1961)

 Dokl. Akad. Nauk SSSR, Volume 139 (1961)

 Dokl. Akad. Nauk SSSR, Volume 140 (1961)

 Dokl. Akad. Nauk SSSR, Volume 141 (1961)

 Dokl. Akad. Nauk SSSR, Volume 142 (1962)

 Dokl. Akad. Nauk SSSR, Volume 143 (1962)

 Dokl. Akad. Nauk SSSR, Volume 144 (1962)

 Dokl. Akad. Nauk SSSR, Volume 145 (1962)

 Dokl. Akad. Nauk SSSR, Volume 146 (1962)

 Dokl. Akad. Nauk SSSR, Volume 147 (1962)

 Dokl. Akad. Nauk SSSR, Volume 148 (1963)

 Dokl. Akad. Nauk SSSR, Volume 149 (1963)

 Dokl. Akad. Nauk SSSR, Volume 150 (1963)

 Dokl. Akad. Nauk SSSR, Volume 151 (1963)

 Dokl. Akad. Nauk SSSR, Volume 152 (1963)

 Dokl. Akad. Nauk SSSR, Volume 153 (1963)

 Dokl. Akad. Nauk SSSR, Volume 154 (1964)

 Dokl. Akad. Nauk SSSR, Volume 155 (1964)

 Dokl. Akad. Nauk SSSR, Volume 156 (1964)

 Dokl. Akad. Nauk SSSR, Volume 157 (1964)

 Dokl. Akad. Nauk SSSR, Volume 158 (1964)

 Dokl. Akad. Nauk SSSR, Volume 159 (1964)

 Dokl. Akad. Nauk SSSR, Volume 160 (1965)

 Dokl. Akad. Nauk SSSR, Volume 161 (1965)

 Dokl. Akad. Nauk SSSR, Volume 162 (1965)

 Dokl. Akad. Nauk SSSR, Volume 163 (1965)

 Dokl. Akad. Nauk SSSR, Volume 164 (1965)

 Dokl. Akad. Nauk SSSR, Volume 165 (1965)

 Dokl. Akad. Nauk SSSR, Volume 166 (1966)

 Dokl. Akad. Nauk SSSR, Volume 167 (1966)

 Dokl. Akad. Nauk SSSR, Volume 168 (1966)

 Dokl. Akad. Nauk SSSR, Volume 169 (1966)

 Dokl. Akad. Nauk SSSR, Volume 170 (1966)

 Dokl. Akad. Nauk SSSR, Volume 171 (1966)

 Dokl. Akad. Nauk SSSR, Volume 172 (1967)

 Dokl. Akad. Nauk SSSR, Volume 173 (1967)

 Dokl. Akad. Nauk SSSR, Volume 174 (1967)

 Dokl. Akad. Nauk SSSR, Volume 175 (1967)

 Dokl. Akad. Nauk SSSR, Volume 176 (1967)

 Dokl. Akad. Nauk SSSR, Volume 177 (1967)

 Dokl. Akad. Nauk SSSR, Volume 178 (1968)

 Dokl. Akad. Nauk SSSR, Volume 179 (1968)

 Dokl. Akad. Nauk SSSR, Volume 180 (1968)

 Dokl. Akad. Nauk SSSR, Volume 181 (1968)

 Dokl. Akad. Nauk SSSR, Volume 182 (1968)

 Dokl. Akad. Nauk SSSR, Volume 183 (1968)

 Dokl. Akad. Nauk SSSR, Volume 184 (1969)

 Dokl. Akad. Nauk SSSR, Volume 185 (1969)

 Dokl. Akad. Nauk SSSR, Volume 186 (1969)

 Dokl. Akad. Nauk SSSR, Volume 187 (1969)

 Dokl. Akad. Nauk SSSR, Volume 188 (1969)

 Dokl. Akad. Nauk SSSR, Volume 189 (1969)

 Dokl. Akad. Nauk SSSR, Volume 190 (1970)

 Dokl. Akad. Nauk SSSR, Volume 191 (1970)

 Dokl. Akad. Nauk SSSR, Volume 192 (1970)

 Dokl. Akad. Nauk SSSR, Volume 193 (1970)

 Dokl. Akad. Nauk SSSR, Volume 194 (1970)

 Dokl. Akad. Nauk SSSR, Volume 195 (1970)

 Dokl. Akad. Nauk SSSR, Volume 196 (1971)

 Dokl. Akad. Nauk SSSR, Volume 197 (1971)

 Dokl. Akad. Nauk SSSR, Volume 198 (1971)

 Dokl. Akad. Nauk SSSR, Volume 199 (1971)

 Dokl. Akad. Nauk SSSR, Volume 200 (1971)

 Dokl. Akad. Nauk SSSR, Volume 201 (1971)

 Dokl. Akad. Nauk SSSR, Volume 202 (1972)

 Dokl. Akad. Nauk SSSR, Volume 203 (1972)

 Dokl. Akad. Nauk SSSR, Volume 204 (1972)

 Dokl. Akad. Nauk SSSR, Volume 205 (1972)

 Dokl. Akad. Nauk SSSR, Volume 206 (1972)

 Dokl. Akad. Nauk SSSR, Volume 207 (1972)

 Dokl. Akad. Nauk SSSR, Volume 208 (1973)

 Dokl. Akad. Nauk SSSR, Volume 209 (1973)

 Dokl. Akad. Nauk SSSR, Volume 210 (1973)

 Dokl. Akad. Nauk SSSR, Volume 211 (1973)

 Dokl. Akad. Nauk SSSR, Volume 212 (1973)

 Dokl. Akad. Nauk SSSR, Volume 213 (1973)

 Dokl. Akad. Nauk SSSR, Volume 214 (1974)

 Dokl. Akad. Nauk SSSR, Volume 215 (1974)

 Dokl. Akad. Nauk SSSR, Volume 216 (1974)

 Dokl. Akad. Nauk SSSR, Volume 217 (1974)

 Dokl. Akad. Nauk SSSR, Volume 218 (1974)

 Dokl. Akad. Nauk SSSR, Volume 219 (1974)

 Dokl. Akad. Nauk SSSR, Volume 220 (1975)

 Dokl. Akad. Nauk SSSR, Volume 221 (1975)

 Dokl. Akad. Nauk SSSR, Volume 222 (1975)

 Dokl. Akad. Nauk SSSR, Volume 223 (1975)

 Dokl. Akad. Nauk SSSR, Volume 224 (1975)

 Dokl. Akad. Nauk SSSR, Volume 225 (1975)

 Dokl. Akad. Nauk SSSR, Volume 226 (1976)

 Dokl. Akad. Nauk SSSR, Volume 227 (1976)

 Dokl. Akad. Nauk SSSR, Volume 228 (1976)

 Dokl. Akad. Nauk SSSR, Volume 229 (1976)

 Dokl. Akad. Nauk SSSR, Volume 230 (1976)

 Dokl. Akad. Nauk SSSR, Volume 231 (1976)

 Dokl. Akad. Nauk SSSR, Volume 232 (1977)

 Dokl. Akad. Nauk SSSR, Volume 233 (1977)

 Dokl. Akad. Nauk SSSR, Volume 234 (1977)

 Dokl. Akad. Nauk SSSR, Volume 235 (1977)

 Dokl. Akad. Nauk SSSR, Volume 236 (1977)

 Dokl. Akad. Nauk SSSR, Volume 237 (1977)

 Dokl. Akad. Nauk SSSR, Volume 238 (1978)

 Dokl. Akad. Nauk SSSR, Volume 239 (1978)

 Dokl. Akad. Nauk SSSR, Volume 240 (1978)

 Dokl. Akad. Nauk SSSR, Volume 241 (1978)

 Dokl. Akad. Nauk SSSR, Volume 242 (1978)

 Dokl. Akad. Nauk SSSR, Volume 243 (1978)

 Dokl. Akad. Nauk SSSR, Volume 244 (1979)

 Dokl. Akad. Nauk SSSR, Volume 245 (1979)

 Dokl. Akad. Nauk SSSR, Volume 246 (1979)

 Dokl. Akad. Nauk SSSR, Volume 247 (1979)

 Dokl. Akad. Nauk SSSR, Volume 248 (1979)

 Dokl. Akad. Nauk SSSR, Volume 249 (1979)

 Dokl. Akad. Nauk SSSR, Volume 250 (1980)

 Dokl. Akad. Nauk SSSR, Volume 251 (1980)

 Dokl. Akad. Nauk SSSR, Volume 252 (1980)

 Dokl. Akad. Nauk SSSR, Volume 253 (1980)

 Dokl. Akad. Nauk SSSR, Volume 254 (1980)

 Dokl. Akad. Nauk SSSR, Volume 255 (1980)

 Dokl. Akad. Nauk SSSR, Volume 256 (1981)

 Dokl. Akad. Nauk SSSR, Volume 257 (1981)

 Dokl. Akad. Nauk SSSR, Volume 258 (1981)

 Dokl. Akad. Nauk SSSR, Volume 259 (1981)

 Dokl. Akad. Nauk SSSR, Volume 260 (1981)

 Dokl. Akad. Nauk SSSR, Volume 261 (1981)

 Dokl. Akad. Nauk SSSR, Volume 262 (1982)

 Dokl. Akad. Nauk SSSR, Volume 263 (1982)

 Dokl. Akad. Nauk SSSR, Volume 264 (1982)

 Dokl. Akad. Nauk SSSR, Volume 265 (1982)

 Dokl. Akad. Nauk SSSR, Volume 266 (1982)

 Dokl. Akad. Nauk SSSR, Volume 267 (1982)

 Dokl. Akad. Nauk SSSR, Volume 268 (1983)

 Dokl. Akad. Nauk SSSR, Volume 269 (1983)

 Dokl. Akad. Nauk SSSR, Volume 270 (1983)

 Dokl. Akad. Nauk SSSR, Volume 271 (1983)

 Dokl. Akad. Nauk SSSR, Volume 272 (1983)

 Dokl. Akad. Nauk SSSR, Volume 273 (1983)

 Dokl. Akad. Nauk SSSR, Volume 274 (1984)

 Dokl. Akad. Nauk SSSR, Volume 275 (1984)

 Dokl. Akad. Nauk SSSR, Volume 276 (1984)

 Dokl. Akad. Nauk SSSR, Volume 277 (1984)

 Dokl. Akad. Nauk SSSR, Volume 278 (1984)

 Dokl. Akad. Nauk SSSR, Volume 279 (1984)

 Dokl. Akad. Nauk SSSR, Volume 280 (1985)

 Dokl. Akad. Nauk SSSR, Volume 281 (1985)

 Dokl. Akad. Nauk SSSR, Volume 282 (1985)

 Dokl. Akad. Nauk SSSR, Volume 283 (1985)

 Dokl. Akad. Nauk SSSR, Volume 284 (1985)

 Dokl. Akad. Nauk SSSR, Volume 285 (1985)

 Dokl. Akad. Nauk SSSR, Volume 286 (1986)

 Dokl. Akad. Nauk SSSR, Volume 287 (1986)

 Dokl. Akad. Nauk SSSR, Volume 288 (1986)

 Dokl. Akad. Nauk SSSR, Volume 289 (1986)

 Dokl. Akad. Nauk SSSR, Volume 290 (1986)

 Dokl. Akad. Nauk SSSR, Volume 291 (1986)

 Dokl. Akad. Nauk SSSR, Volume 292 (1987)

 Dokl. Akad. Nauk SSSR, Volume 293 (1987)

 Dokl. Akad. Nauk SSSR, Volume 294 (1987)

 Dokl. Akad. Nauk SSSR, Volume 295 (1987)

 Dokl. Akad. Nauk SSSR, Volume 296 (1987)

 Dokl. Akad. Nauk SSSR, Volume 297 (1987)

 Dokl. Akad. Nauk SSSR, Volume 298 (1988)

 Dokl. Akad. Nauk SSSR, Volume 299 (1988)

 Dokl. Akad. Nauk SSSR, Volume 300 (1988)

 Dokl. Akad. Nauk SSSR, Volume 301 (1988)

 Dokl. Akad. Nauk SSSR, Volume 302 (1988)

 Dokl. Akad. Nauk SSSR, Volume 303 (1988)

 Dokl. Akad. Nauk SSSR, Volume 304 (1989)

 Dokl. Akad. Nauk SSSR, Volume 305 (1989)

 Dokl. Akad. Nauk SSSR, Volume 306 (1989)

 Dokl. Akad. Nauk SSSR, Volume 307 (1989)

 Dokl. Akad. Nauk SSSR, Volume 308 (1989)

 Dokl. Akad. Nauk SSSR, Volume 309 (1989)

 Dokl. Akad. Nauk SSSR, Volume 310 (1990)

 Dokl. Akad. Nauk SSSR, Volume 311 (1990)

 Dokl. Akad. Nauk SSSR, Volume 312 (1990)

 Dokl. Akad. Nauk SSSR, Volume 313 (1990)

 Dokl. Akad. Nauk SSSR, Volume 314 (1990)

 Dokl. Akad. Nauk SSSR, Volume 315 (1990)

Dokl. Akad. Nauk SSSR, Volume 316 (1991)

Number 1
MATHEMATICS
Transformations of edge colorings of a bipartite multigraph and their applications
A. S. Asratyan, A. N. Mirumyan
11
Multidimensional spectral asymptotics for elliptic operators in domains that satisfy the cone condition
K. Kh. Boimatov
14
Existence and nonuniqueness of solutions of some nonlinear boundary value problems
S. A. Brykalov
18
On the solvability of a class of operator equations
S. A. Vavilov
22
On the spaces $\overset\circ w^{\mathfrak{A}}_2$ and coercive properties of equations of elliptic type
A. A. Davtyan
26
Automorphisms and decomposition of affine control systems
V. I. Elkin
30
Characterization of Kochen rings of $PC_M$-fields
Yu. L. Ershov
33
Second order equations reducible to $z_{xy}=0$ by a Bäcklund transformation
M. Yu. Zvyagin
36
On the spectrum of a gasdynamic problem of Frankl' for equations of mixed type
K. B. Sabitov
40
Universal cubature formulas
V. N. Temlyakov
44
Operators of diffusion type
I. I. Shamaev
47

CYBERNETICS AND THE REGULATION THEORY
Estimates for the value of overcontrol in stable linear links with a rational transfer function
R. N. Izmailov
51
Perturbation of linear desynchronized systems
V. S. Kozyakin
54
Observation of linear systems, and principles of quantum mechanics
V. F. Krotov
57

FLUID MECHANICS
A method of determining heat fluxes and friction in three-dimensional problems of hypersonic streamline flow using two-dimensional solutions
I. G. Brykina, V. V. Rusakov, V. G. Scherback
62
Constitutive equations for a fluid with heredity and nonlocality
O. Yu. Dinariev
67
Results and possibilities of direct numerical modeling of turbulent flows of a viscous fluid in a circular pipe
V. G. Priymak
71

GEOPHYSICS
Effect of the discreteness of geophysical medium on the motion of substance under high-speed impact on the Earth's surface
V. I. Bergelson, I. V. Nemtchinov, T. I. Orlova, V. M. Hazins
77
Some indication of induced seismicity in the Ostrava-Karvina coal basin (Czechoslovakia)
K. Golub
80
Effect of Earth surface heating on high-frequency seismic noise
E. I. Gordeev, V. A. Saltykov, V. I. Sinitsyn, V. N. Chebrov
85
Tropical cyclones and the seismic activity
M. I. Yaroshevich
88

MATHEMATICAL PHYSICS
The Radon transformation with variable absorption
Yu. E. Anikonov, I. Ya. Shneiberg
93

PHYSICS
Electrical field in linear-heterogeneous dielectrics
M. Yu. Volokobinskii
96
On the statistics of photon gas
T. Z. Kalanov, P. Kh. Khabibullaev
100

CRYSTALLOGRAPHY
$\mathrm{YBa}_2\mathrm{Cu}_3\mathrm{O}_{6,6}$ crystal structure at при $T=91$ and $T=298$ K
V. F. Shamrai, G. M. Leitus, O. G. Karpinskii, Yu. V. Efimov, T. A. Bolokhova, A. I. Shul'gin, N. M. Kotov
120


A. A. Mayer
10

Number 2

MATHEMATICS
Equiconvergence of series in eigenfunctions of ordinary functional-differential operators
A. M. Gomilko, G. V. Radzievskii
265
Context-free deducibility of graphs that do not realize a planar lattice
K. Yu. Gorbunov
270
Boundedness of singular integral operators on the Heisenberg group in weighted generalized Hölder spaces and weighted $L_p$-spaces
V. S. Guliev
274
The Gaussian distribution for sums of distances
V. A. Gurvich, K. M. Khanin
279
Stabilization of solutions of parabolic equations, and the central limit theorem
V. N. Denisov
284
The theory of the solvability of singular integral equations with fractional-linear Carleman shift
V. G. Kravchenko, A. K. Shaev
288
On the spectral theory of a nonselfadjoint operator generated by an infinite Jacobi matrix
F. G. Maksudov, B. P. Allahverdiev, E. M. Bairamov
292
On a theorem of Beltrami
A. V. Pogorelov
297
The Cauchy problem for general hyperbolic systems in a complete scale of Sobolev-type spaces
Ya. A. Roitberg
300
Majorant optimization of weight algorithms in the Monte Carlo method
A. V. Starkov
305
Homeomorphy of $Q_p$-extremal mappings
Yu. F. Strugov
309
Homogeneous convolution equations
R. S. Yulmukhametov
312
A two-sided power boundary layer in nonlocal problems
M. Yu. Yunusov
315

GEOPHYSICS
Variations of aerosol particle concentration and ground layer ozone concentration caused by the terminator acoustic-gravity wave
L. S. Ivlev, O. V. Maksimenko
319
Scattering of teleseismic $P$-waves in the uppermost lithosphere
M. V. Nevsky, O. Yu. Riznichenko, O. S. Fokin
322

MATHEMATICAL PHYSICS
Asymptotic investigation of multistability phenomena in laser models with opto-electronic feedback
E. V. Grigor'eva, S. A. Kaschenko
327
Finite discrete space-time and quantum electrodynamics
K. E. Plokhotnikov
332

PHYSICS
Influence of dissipation, dispersion and nonstationary Kerr nonlinearity on soliton propagation in resonance medium
F. Kh. Abdullaev, S. A. Tadzhimuratov
337
Space-time scales of hadronization of quarks
S. I. Nikol'skii
339
Stark's plasma intermode oscillations in superlattice semiconductors
A. E. Poedinchuk, V. P. Shestopalov
342

CRYSTALLOGRAPHY
Molecular structure of di-hydroxide-hexa (thiosemicarbazidediacetic acid-$\mathrm{S}$) rhodium $(\mathrm{II})$ hexahydrate
I. F. Burshtein, N. V. Gerbeleu, O. A. Bologa, V. I. Lozan, T. I. Malinovskii
368
Crystal and molecular structure of potassium amylxanthate
N. A. Frolova, T. I. Malinovskii, V. Kh. Kravtsov, Yu. M. Chumakov, S. B. Leonov
371


T. P. Polyakova
264

Number 3

MATHEMATICS
Strictly nuclear embeddings and the interpolation of Sobolev spaces of infinite order
A. N. Agadzhanov
521
Problems of Cauchy and Goursat type on composite lines
S. S. Akhiev, S. N. Sanieva
524
Variational problems for functionals determined by the maximum of a Lagrangian
M. D. Bronshtein, A. S. Cherevatskii
528
The Poisson distribution for the number of pairs of close points
V. A. Gurvich, K. M. Khanin
533
On the distribution of values of meromorphic functions of finite order
A. È. Eremenko, M. L. Sodin
538
On a problem of Alexits with respect to the divergence of orthogonal Fourier series
K. S. Kazarian, P. L. Ul'yanov
542
A new class of relaxation systems in general position
A. Yu. Kolesov
546
Boundary values of solutions of second-order parabolic equations that are degenerate on the boundary of the domain
I. M. Petrushko
550
Uniqueness of the element of best approximation in some function spaces
N. K. Rakhmetov
553

CYBERNETICS AND THE REGULATION THEORY
The effect of rapidly oscillating feedbacks on stability
V. G. Kurbatov
558

MECHANICS
Numerical analysis of inclined penetration of elastoplastic body with star-shaped cross-section into a layer of compressible liquid
S. A. Afanas'eva, S. A. Chernyshev, N. T. Yugov
562
Deformational model of ideal granular medium
V. P. Myasnikov, A. I. Oleinikov
565

FLUID MECHANICS
Problems of the filtration of an incompressible fluid with a composite free boundary
V. N. Monakhov
569

GEOPHYSICS
Simulation of the atmospheric carbon dioxide dynamics in the $10^6$ year time scale
I. V. Altunin, E. P. Borisenkov
574

MATHEMATICAL PHYSICS
Analysis of a mathematical model in ecology
Yu. S. Kolesov
577
A new class of integral equations that lower the dimension of diffraction problems
S. I. Smagin
580
An existence theorem for the solution of a chain of Bogolyubov equations for one-dimensional lattice boson systems
Yu. M. Sukhov, A. G. Shukhov
586

PHYSICS
Phosphorescence under multiphoton oscillatory excitation of complex molecules in ground state
N. A. Borisevich, G. A. Zalesskaya
590
Maximum entropy approach in emission tomography of semi-opaque media
A. V. Bronnikov, N. G. Preobrazhenskii
594
Computer-analytical method of electric field calculation in a heterogeneous dielectric structure
M. Yu. Volokobinskii
597
Effect of non-monotone dependence of sound attenuation on the concentration of droplets
R. I. Nigmatulin, A. I. Ivandaev, D. A. Gubaidullin
601

CRYSTALLOGRAPHY
Crystallographic rule of electron crystal chemistry of metals and the nature of superconductivity
E. S. Makarov
618
Crystal structure of hsianghualite
R. K. Rastsvetaeva, O. Yu. Rekhlova, V. I. Andrianov, Yu. A. Malinovskii
624

Number 4

MATHEMATICS
A method for solving the Cauchy problem for a first-order nonlinear equation of hyperbolic type with a smooth initial condition
M. T. Abasov, M. A. Rasulov, T. M. Ibragimov, T. A. Ragimova
777
A quadratic problem of the optimal control of the vibrations of a string
S. A. Avdonin, S. A. Ivanov, A. Z. Ishmukhametov
781
Weighted estimates for singular integrals generated by the generalized shift operator
I. A. Aliev, A. D. Gadzhiev
785
Extremal mappings of dihedral wedges
V. V. Aseev
788
Some inverse problems for parabolic equations
S. S. Akhtamova, Yu. Ya. Belov
791
Asymptotic behavior as $\vert x\vert\to\infty$ of strongly perturbed Poiseuille flows
A. V. Babin
796
An inverse problem for a parabolic equation with an unknown coefficient multiplying the time derivative
Yu. Ya. Belov, E. G. Savateev
800
Estimates for the Poisson kernel for a tube domain over an acute cone
L. I. Danilov
805
Asymptotic behavior of solutions of the Cauchy problem for parabolic equations of nondivergence type
V. L. Kamynin
807
Reduced $p$-modulus and the interior $p$-harmonic radius
B. E. Levitsii
812
Optimal guaranteeing control of a dynamical system with search for the target point
A. A. Melikyan
815
Compact periodic standard Einstein manifolds
E. D. Rodionov
819
On the theory of evolution equations with impulse action
A. M. Samoilenko, M. Ilolov
822
The commutant method and the coercivity of the Cauchy problem
E. P. Sobolevskii, P. E. Sobolevskii
825
Algorithms with “different time coordinates” of Monte Carlo methods for a nonlinear “smoothed” Boltzmann equation
A. I. Khisamutdinov
829

CYBERNETICS AND THE REGULATION THEORY
The principle of recurrent stability of perturbations in the problem of robust stabilization
S. V. Emel'yanov, P. V. Zhivoglyadov, S. K. Korovin, S. V. Nikitin
834
Computational aspects of the differential-geometric approach to problems in the nonlinear theory of control
A. P. Krishchenko, A. N. Nazarenko
838
Robust stability of linear discrete systems
B. T. Polyak, Ya. Z. Tsypkin
842
An interval variant of the modal control method
N. A. Khlebalin, Yu. I. Shokin
846

MECHANICS
On the calculation of acoustic fields of moving sources
A. V. Generalov
851

FLUID MECHANICS
On the theory of hydrodynamic thermal explosion
A. L. Gonor, A. A. Chulkov
856

THEORY OF ELASTICITY
Determination of residual stresses in long prismatic samples by the method of integral photoelasticity
A. È. Puro
861

GEOPHYSICS
The Fennoscandian-Mediterranean Sea lineament of the geoid
V. I. Bogdanov, E. O. Kremenetskaya, H. H. Sil'dvee
864
Geotectonic study of submarine mountains of the Somalian Basin by method of magnetic modelling
Yu. V. Brusilovskii, A. M. Gorodnitskii, S. A. Merkuryev, N. A. Sochevanova
868
Composition and content of primary-magmatic titanium magnetite in tholeiitic basalts of mid-oceanic ridges as function of chemical composition of rocks
A. G. Gorshkov
871
Peculiarities of the propagation of nonlinear seismic waves in isotropic media
V. V. Gur'yanov
875
Spatial-time geomagnetic field variations in Eastern Fergana and seismotectonic dynamics in the region
M. Yu. Muminov, V. A. Shapiro, T. Kh. Khadzhiev, K. N. Abdullabekov, S. H. Maksudov, Yu. A. Trapeznikov
879

MATHEMATICAL PHYSICS
Non-Archimedean arithmetic and other constructive methods of mathematics based on the ideas of the special theory of relativity
V. L. Rvachev
884
The moment method for the nonlinear Boltzmann equation
A. Sakabekov
890
On the squeezed Fock state
A. S. Shumovskii
894

PHYSICS
On essential positivity of electron energies in relativistic theory. Realistic theory of positron
V. A. Dzhrbashyan
897
$\mathrm{G}/\mathrm{f}_0(1590)$, $\mathrm{f'}/\mathrm{f}_2(1525)$ and $\theta/\mathrm{f}_2(1720)$ decays through $\eta\eta$ and $\mathrm{K}\bar{\mathrm{K}}$ channels
Yu. D. Prokoshkin
900
Peculiarities of voltage-current characteristics of tallium high-$\mathrm{T}_{\mathrm{c}}$ superconductors
V. I. Trefilov, I. S. Shchetkin, N. V. Abramov, T. Sh. Osmanov
905

Number 5

MATHEMATICS
Integral geometry and the problem of determining the Riemannian metric
R. Kh. Amirov
1033
An inverse problem for a semilinear parabolic equation
Yu. Ya. Belov
1034
A criterion for the value function in a linear differential game
M. A. Zarkh
1038
Geometric approach to the problem of uniqueness for sporadic simple groups
A. A. Ivanov
1043
Singular boundary value problems for some elliptic equations in domains with corner points
V. V. Katrakhov
1047
Boundary value problems for an equation of mixed type with two inner lines of degeneracy
M. S. Salakhitdinov, B. Islomov
1051
Wreath products and general products of groups
V. I. Sushchansky
1054
Necessary conditions for optimality of even order in a time-optimality problem for a class of control systems
A. I. Tret'yak
1058
On the determination of graph strength
V. A. Trubin
1060

CYBERNETICS AND THE REGULATION THEORY
A recursively parallel algorithm for solving tridiagonal systems of equations of arbitrary dimension
M. S. Karapetyan
1065
Regularization of kernels of binary relations defined by inequalities
A. G. Perevozchikov
1068

MECHANICS
Some integral relations for acoustic waves in a nonhomogeneous moving medium
A. V. Generalov
1072

FLUID MECHANICS
Numerical solution of two-dimensional nonstationary problems of the motion of a dusty gas-fuel mixture
V. P. Korobeinikov, V. V. Markov, G. V. Sizykh
1077

GEOPHYSICS
Interdependence between kinetic parameters of ionic conductivity and the temperature of compensation in glauconites
A. A. Guseinov, A. S. Batyrmurzaev
1082
Determination of averaged parameters of heat transfer through the snow
V. V. Zvyagin, V. P. Melnikov, I. R. Shreiber
1085
On the contribution of serpentinized peridotites in oceanic magnetic anomalies
E. A. Nazarova, A. M. Gorodnitskii
1088

MATHEMATICAL PHYSICS
On obtaining equations of state by means of a variational equation
V. A. Zhelnorovich
1092
A numerical model of global processes in the magnetosphere
A. V. Korzhenevskii, V. A. Cherepenin
1096
On the possibility of describing turbulent flows of a viscous fluid by an attractor of finite dimension
G. G. Malinetskii, A. B. Potapov, V. G. Priymak
1101

PHYSICS
Superconducting state of Hubbard model
N. N. Bogolyubov, V. A. Moskalenko
1107
Sound velocity in helium-carbon dioxide mixtures at high pressures
L. L. Pitaevskaya, A. A. Popov
1112
On the distribution of spacing between energy levels of nuclei
O. I. Sumbaev
1116

Number 6

MATHEMATICS
Formalism of the exhaustion method in linear algebra
A. Ya. Belyankov
1289
Para-algebras and approximate solution of singular integro-differential equations
V. D. Didenko
1293
Interpolation and approximation of probability distributions
V. I. Zubov
1298
Orthogonal polynomials of several variables
A. S. Lyskova
1301
On a problem of Lions
E. I. Moiseev
1306
The Gibbs–Thompson correction and conditions for the existence of a classical solution of the modified Stefan problem
E. V. Radkevich
1311
On the ergodic principle for quadratic processes
T. A. Sarymsakov, N. N. Ganikhodzhaev
1315
Uniqueness of the generalized solution of an initial-boundary value problem in the nonlinear theory of oscillations of shallow shells
V. I. Sedenko
1319
Generalizations of Euler's divisibility theorem and other arithmetic properties of representations of finite permutation groups
S. P. Strunkov
1323
Regularity of solutions of some variational problems
M. A. Sychev
1326
Approach of $n$-fold convolutions of distributions to infinitely divisible distributions
G. P. Chistyakov
1330

CYBERNETICS AND THE REGULATION THEORY
High-accuracy estimation in self-organizing stochastic systems
A. I. Petrov, A. G. Zubov
1334

MECHANICS
Calculation of acoustic fields of sources moving in a gas flow
A. V. Generalov
1339

AERODYNAMICS
The Fredholm integral equation of the second kind for a vortex layer on a closed surface and its numerical solution
S. V. Kozlov, I. K. Lifanov, A. A. Mikhailov
1344

FLUID MECHANICS
Cylindrical vortices in an unstably stratified fluid
Yu. A. Stepanyants
1349

THEORY OF ELASTICITY
Effect of anisotropy in shells of rotation under a nonaxisymmetric load
È. I. Grigolyuk, P. Ya. Nosatenko
1354

GEOPHYSICS
On charge separation under the evaporation of water from Earth's surface
M. Ya. Batbachan
1358
Frequency seismic sounding of the sea bottom
D. A. Il'inskii
1362
On one possible consequence of underground nuclear tests
V. I. Il'ichev, G. P. Cherepanov
1367
On free destruction on solids. II
E. I. Shemyakin
1371

MATHEMATICAL PHYSICS
Group analysis of equations of an anisotropic ideally plastic medium
S. I. Senashov
1374

PHYSICS
On layered moving medium approximation in acoustics
O. A. Godin
1378
Mixed-valence bipolaronic crystals
S. P. Ionov
1383
On the statistics of electron gas
T. Z. Kalanov, P. Kh. Khabibullaev
1386
Atomic states at constant atom volume. Semi-empirical equation of state of solids
B. A. Nadykto
1389

CRYSTALLOGRAPHY
X-ray analysis of $2'$,$3'$-riboanhydroadenosine – conformationally restricted terminator substrate of DNA polimerase
G. V. Gurskaya, A. V. Bochkarev, A. S. Zhdanov, A. V. Papchikhin, P. P. Purygin, A. A. Kraevskii
1401

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