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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)

Number 1
MATHEMATICS
Potential theory on homogeneous groups
S. K. Vodopyanov
11
Complexity of the factorization of a linear ordinary differential operator
D. Yu. Grigor'ev
16
The equivalent equation method for solving nonlinear problems
Ya. M. Kotlyar
21
Types of degenerate elliptic operators
S. Z. Levendorskii
24
Necessary conditions for problems of optimal control that are describable by differential inclusions with distributed parameters
E. N. Makhmudov
29
The singular spectrum of selfadjoint operators
Ya. V. Mikityuk
33
An estimate of Berry–Esseen type for sums of random variables with values in Hilbert space
S. V. Nagaev
37
Equipped graphs and their corresponding modular lattices. Perfect elements in the lattices $L(A^0_n)$
V. V. Ponomarev
38
Three-dimensional Kleinian groups that are isomorphic to the fundamental group of the Haken manifold
L. D. Potyagailo
43
Limit behavior of reduced critical branching processes
S. M. Sagitov
47
Approximation by Fourier operators of functions that are defined on the real axis
A. I. Stepanets
50

THE MECHANICS OF CONTINUOUS MEDIUM
On the most simple flows of continuous medium
A. F. Revuzhenko
54

GEOPHYSICS
Day-time near-surface current
V. N. Kudryavtsev, A. V. Solov'ev
59
The tensor description of a rotating noninertial reference system
A. A. Movchan
62
Some spectral properties of representations of hypercomplex wave fields
G. L. Shpilker
65

MATHEMATICAL PHYSICS
The impossibility of the existence of nonstatic bodies with a radius less than or equal to the gravitational radius in the relativistic theory of gravitation
A. A. Vlasov, A. A. Logunov
71
Investigation of singularly perturbed equations that describe nonlinear magneto-acoustic waves
S. A. Trushin, M. M. Khapaev, G. V. Sholin
74

PHYSICS
On the effect of output during the radiation of relativistic particles
A. I. Akhiezer, N. V. Laskin, N. F. Shul'ga
78
Volume capture effect of $1.5$$5.7$ MeV electrons into quantum channeling states
S. A. Vorob'ev, V. V. Kaplin, V. I. Gridnev, V. G. Khlabutin, E. I. Rozum
82
The spectrum of developed turbulence in a dissipation interval
M. M. Dubovikov, V. I. Tatarskii
86
Free energy in the statistical theory of fluids
O. E. Kiselev, G. A. Martynov
90
New type of high temperature superconductor. Microwave absorption in low magnetic fields?
B. V. Rozentuller, S. V. Stepanov, M. M. Shabarchina, A. I. Tsapin
94

CRYSTALLOGRAPHY
Superplasticity of single crystals
G. V. Berezhkova, V. R. Regel, A. V. Salkov
102
Locally centrosymmetric space groups and some regularities in piezoelectric and electroopitic properties of crystals
E. V. Chuprunov, T. N. Tarkhova, G. I. Kozlova
105

Number 2

MATHEMATICS
Integral equations of the linear theory of contact problems
A. V. Bitsadze
265
Theoretical and statistical research on the defective set in enamel-varnish electroisolated coatings
R. P. Braginskii, B. V. Gnedenko, G. M. Zaitseva, S. A. Molchanov
270
Estimates for regularized solutions of equations of convolution type in spaces of functions with a noninteger order of differentiation
V. I. Burenkov, I. F. Dorofeev, A. S. Pankratov
274
An inverse problem of the formation of coherent radiation
A. V. Goncharsky, V. V. Stepanov
279
A Thullen-type extension theorem for line bundles with $L^2$-bounded curvature
S. M. Ivashkovich
284
On the dependence of solutions of boundary value problems on the perturbation of a domain with respect to vector fields
A. K. Kerimov
286
Uniform optimization of weighted estimates of the Monte Carlo method
G. A. Mikhailov, A. . Zhiglyavskii
290
The wave equation in an unbounded domain with a star-shaped boundary
L. A. Muravei
293

CYBERNETICS AND THE REGULATION THEORY
Choosing an optimal measurement/control module for complex technological systems
V. V. Kafarov, S. V. Mischenko, Yu. L. Muromtsev
298

MECHANICS
Optimal design of manipulation system for a construction robot
A. A. Kobrinskii, A. Ya. Yukov
302

FLUID MECHANICS
Instability of viscous fluid flow in tubes of “active” material
Yu. N. Belyaev, I. M. Skobeleva
307
Dispersion of dissolved substances in the motion of blood in bone tissue
A. D. Girgidov, Yu. V. Zaretskaya
310
Laboratory simulation of the wind-induced turbulent entrainment in an annular tank
K. D. Kreiman
315

THE MECHANICS OF CONTINUOUS MEDIUM
Application of the energy method in the localization of solutions of equations in continuum mechanics
S. N. Antontsev, Kh. I. Dias
320

THEORY OF ELASTICITY
Determination of free oscillations of an elastic plate by means of $N$-parametric eigenfunctions of a biharmonic operator
V. R. Orel
326

GEOPHYSICS
Application of Raman spectroscopy for snow humidity determination
A. Yu. Bekkiev, S. M. Glushkov, M. Ch. Zalikhanov, A. M. Klevtsov, I. M. Panchishin, V. V. Fadeev, L. A. Ushakova
330
Data interpretation method of remote sensing of land surface water in the visible spectrum
K. Ya. Kondrat'ev, A. A. Gitel'son, I. Yu. Kamov
333

MATHEMATICAL PHYSICS
The connection between fluxes of additive integrals of motion in a state of statistical equilibrium in condensed media
M. Yu. Kovalevsky, V. A. Krasnikov, S. V. Peletminskii
337

PHYSICS
Scanning tunneling microscopy of photosynthetic reaction centers
S. J. Alekperov, S. I. Vasil'ev, A. A. Kononenko, E. P. Lukashev, V. I. Panov, A. È. Semenov
341
Determination of parameters of heterophase water media by the method of laser Raman spectroscopy
S. M. Glushkov, I. M. Panchishin, V. V. Fadeev
345
Electroconductivity and dielectric properties of $\mathrm{AgAsS}_2$ in crystalline and vitreous states
S. V. Karpachev, G. M. Zlokazova, L. Ya. Kobelev, V. B. Zlokazov
349
The phase transition of the $2\frac{1}{2}$ type in $\mathrm{TiNi}$ and $\mathrm{TiPd}$
M. L. Miller, V. N. Antonov, A. V. Zhalko-Titarenko, N. A. Plotnikov, V. V. Nemoshkalenko
353
On the emission zone size in an electrohydrodynamic ion emitter
A. L. Shabalin
357

CRYSTALLOGRAPHY
Iron ion structural state in carbonate glasses from the data of Mössbauer spectroscopy
A. M. Bychkov, A. V. Polosin
368

Number 3

MATHEMATICS
Orthogonal projectors and the solution of the Riccati matrix algebraic equation
F. A. Aliev, B. A. Bordyug, V. B. Larin
521
New results on the localization of solutions of nonlinear elliptic and parabolic equations that are obtained by the energy method
S. N. Antontsev, Kh. I. Dias
524
On the use of the variational principle of invariance in numerical methods of optimal control in the presence of terminal constraints
O. V. Balabanov, V. T. Pashintsev
529
Features of the percolation model of polymer aging
R. P. Braginskii, B. V. Gnedenko, V. V. Malunov, Yu. V. Moiseev, S. A. Molchanov
535
Extremal homogeneous hypergraphs. An estimate for the Zarankiewicz function, and a criterion for the nondegeneracy of the function $\mathrm{ex}$
V. A. Gurvich
538
Hecke symmetries and quantum determinants
D. I. Gurevich
542
Singularly perturbed systems of ordinary differential equations in cases when “degenerate” systems have discontinuous solutions
M. Imanaliev, P. S. Pankov
546
Packings and coverings of the Hamming space by unit balls
G. A. Kabatiansky, V. I. Panchenko
550
Invariant decision-making functions
D. V. Kochetkov
552
A nonlinear generalized Cauchy–Riemann system with two independent complex variables
L. G. Mikhailov
556
Denseness of the functions of compact support in weighted spaces, and weighted inequalities
R. Oinarov
559
Special infinitesimal bendings of conical surfaces
A. V. Pogorelov
563

CYBERNETICS AND THE REGULATION THEORY
Locally stationary models of nonequilibrium dynamics of macrosystems with self-reproduction
Yu. S. Popkov
567

MECHANICS
Vibrations of a horizontal rotor inelastic supports with clearances
A. S. Kel'zon, A. A. Koval'
570

AERODYNAMICS
Higher approximations of an asymptotic method for solving a system of Boltzmann kinetic equations
V. V. Struminskii, V. E. Turkov
574

GEOPHYSICS
On long-time electrical anomalies arising at the rock destruction
M. Ya. Batbachan
579
A method of inverse problem in the restoration of characteristics of light scattering by dispersion media
V. D. Bushuev, I. È. Naats
583
On the rate of spreading in the Tyrrhenian Sea
E. V. Verzhbitskii, I. M. Sborshchikov
586
Periodic variations of ozone and incident solar radiation in the atmospheric near-surface layer
L. S. Ivlev, O. V. Maksimenko, V. G. Sirota
589
On the dispersive composition of atmospheric aerosols and on the calculation of their precipitation
K. Ya. Kondrat'ev, V. M. Khvat, V. M. Moskovkin, M. B. Manuylov
591
On the coherent summation of scattered and diffraction fields in the problems of light scattering by large crystals
A. A. Popov
594

PHYSICS
Interaction between laser radiation and diamond films
V. P. Ageev, L. L. Builov, V. I. Konov, A. V. Kuzmichev, S. M. Pimenov, A. M. Prokhorov, V. G. Ral'chenko, B. V. Spitsyn, N. I. Chapliev
598
Modified cylindrical functions for the numerical solution of electrodynamics problems in the cylindrical coordinate system
A. A. Vorontsov, S. D. Mirovitskaya
602
Dynamics of the pion degrees of freedom in the collisions of nuclei
D. N. Voskresenskii, A. V. Senatorov
606
On the nature of a chlorophyll luminescence intensity low-temperature band in solutions
V. F. Gachkovskii
611
Experimental evidence of the influence of a nonuniform magnetic field on the value of the coercivity field of an isolated domain wall
A. N. Grigorenko, S. A. Mishin, A. M. Prokhorov, E. G. Rudashevskiĭ
615
On self-switching of nonidentical unidirectional distributedly-coupled waves fed into a system
A. A. Mayer
618

Number 4

MATHEMATICS
A synthetic theory of affine Lorentz manifolds, and ordered Lie groups
N. R. Abdrakhimova, A. K. Guts, N. L. Shalamova
777
Linearization and formal symmetries of the Korteweg-de Vries equation
V. A. Baikov, R. K. Gazizov, N. H. Ibragimov
781
Some classes of homogeneous spaces that are close to compact spaces
V. V. Gorbatsevich
785
Equilibrium in pure strategies
V. A. Gurvich
789
Strongly and weakly invariant sets with respect to a differential inclusion
Kh. G. Guseinov, V. N. Ushakov
794
Invariant subspaces in some function spaces on symmetric spaces of rank $1$
S. S. Platonov
797
Coefficient conditions for a center in the sense of Dulac for a differential system with one zero characteristic root and cubic right-hand sides
K. S. Sibirskii, A. S. Şubă
799
Estimates for stability in multidimensional inverse problems for differential equations
A. Khaidarov
803
A mathematical information model of fluctuation of personnel
L. Ya. Cherepanova, G. P. Cherepanov
807
A measure that is quasi-invariant with respect to the action of a group of diffeomorphisms of a finite-dimensional manifold
E. T. Shavgulidze
811

MECHANICS
Two-dimensional steady flow of a strain-hardening rigid-plastic material
V. D. Klyushnikov
815
On the theory of fracture of multilayer materials with a crack. Static loading
I. F. Obraztsov, V. D. Kuliev, A. B. Kaplun
818

AERODYNAMICS
Nonsteady detachment wave in a boundary layer in supersonic streamline flow
V. I. Zhuk, S. P. Popov
822

FLUID MECHANICS
An asymptotic theory of salt fingers in the ocean at great Lewis numbers
A. A. Veliev
825

GEOPHYSICS
On the anisotropy of the anomalous mantle viscosity
A. F. Grachev, A. V. Malevskii
830
Electromagnetic radiation and acoustic emission kinetics as precursor of block contact instability
G. A. Sobolev, V. M. Demin
834
Theoretical body wave seismograms in anisotropic media
I. D. Tsvankin, E. M. Chesnokov
837

PHYSICS
On the quark theory of nuclear forces
A. I. Akhiezer, N. P. Merenkov
843
On the possibility of making one-mode film lightguides
E. D. Kim
847
Contraction of a space discharge in the quasi-stable-medium pulsed $\mathrm{CO}_2$ laser
G. A. Mesyats, V. M. Orlovskii, V. V. Osipov, A. G. Poteryaev, A. I. Suslov
850
Kinetics of overshoots at phase transitions of the first kind
N. N. Rosanov
852

Number 5

MATHEMATICS
On a demonstrative experiment in the theory of surface waves of finite amplitude
K. I. Babenko, V. J. Petrovich, A. I. Rakhmanov
1033
Codifferentiability and codifferentials of nonsmooth functions
V. F. Dem'yanov
1038
Singularities of Cesàro means of multiple trigonometric Fourier series
L. V. Zhizhiashvili
1042
A variational method for solving an inverse problem of determining the quantum mechanical potential
A. D. Iskenderov, G. Ya. Yagubov
1044
Numerical solution of an integral equation of the first kind with a weak singularity on a closed surface
S. I. Smagin
1048

CYBERNETICS AND THE REGULATION THEORY
Higher-order necessary and sufficient conditions for Pontryagin and restricted-strong minima in an optimal control problem
N. P. Osmolovskii
1052
Nonlinear adaptive training systems and stochastic automata
A. I. Pletnev
1057

MECHANICS
Modeling the process of generating shock waves
V. P. Maslov, E. V. Sosnina
1062
On the theory of fracture of polylayer materials with crack (statical loading)
I. F. Obraztsov, V. D. Kuliev, A. B. Kaplun
1065

FLUID MECHANICS
Closed equation of heat transfer in a turbulent fluid flow
V. I. Teplyakov
1069

THEORY OF ELASTICITY
Propagation of elastic waves in a layered cylinder
G. G. Bulychev, S. G. Pshenichnov
1074
A variational principle for viscoelastic bodies in problems of long-term durability
Ya. A. Èyubov
1078

ASTRONOMY
Uranus system, solar system, and wave astrodynamics – prognosis of the theory and “Voyager-2” observations
A. M. Chechelnitskii
1082

GEOPHYSICS
On the block structure of the West-Siberian plate basement
S. V. Aptonov, R. M. Demenitskaya, A. S. Monin
1089
On the possible influence of earth crust fragmentariness on features of social territory dimensional distribution
S. I. Sukhonos
1093

MATHEMATICAL PHYSICS
Problems of radiation transfer in plane layers of optically active media
M. G. Kuz'mina
1097
$1/n$-expansion and calculation of wave functions
V. D. Mur, S. G. Pozdnyakov, V. S. Popov
1102

PHYSICS
Hysteresis losses in composite superconductors with a superconducting connection between current-carrying elements
V. A. Al'tov, A. V. Ionov, V. V. Kurguzov, V. V. Sychev
1108
Dispersion relations for scattering coefficients of electromagnetic waves in the RF range
V. B. Brodskii
1112
Relation between the error of energy measurement and the perturbation of energy in QND measurements
Yu. I. Vorontsov
1116
Structure-dependent component of the metal surface energy
R. M. Digilov, È. P. Fel'dman, V. M. Yurchenko
1119
Determination of the temperature dependence of heat capacity and characteristic temperatures of $\mathrm{Si}$, $\mathrm{GaP}$, $\mathrm{InAs}$ from the Bregg reflex intensity in the $7$$310$ K temperature range
N. N. Sirota, A. A. Sidorov
1123
Application of Bogoliubov–Tiablikov method to the problem of interaction between electron-and magnetic subsystems at arbitrary temperatures
A. A. Truschenko
1126
Resonance and intermode oscillations
V. P. Shestopalov
1131

CRYSTALLOGRAPHY
Cleavage of $15$-crown-$5$ macrocyclic polyether by tetravalent tin. Crystal- and molecular structure of $\mathrm{C}_8\mathrm{H}_{16}\mathrm{O}_5\cdot\mathrm{SnCl}_2\cdot\mathrm{SnCl}_4\cdot\mathrm{CH}_3\mathrm{CN}$
V. K. Belsky, B. M. Bulychev, N. R. Streltsova, P. A. Storozhenko, L. V. Ivakina
1137

Number 6

MATHEMATICS
On the theory of optimal control in an infinite time interval
Sh. G. Amrakhov
1289
Boundary value problems for a class of integro-differential equations and related spectral problems
V. V. Vlasov
1293
Decompositions of tensor products of representations of a symmetric group and of symmetric and exterior powers of the adjoint representation of $\mathfrak{gl}(N)$
I. F. Donin
1296
A boundary value problem for a higher-order equation with changing time direction
I. E. Egorov
1301
Estimates of root vectors of multipoint spectral problems
I. S. Lomov, V. V. Tikhomirov
1304
On the theory of the characteristic function and on the spectral analysis of a dissipative Schrödinger operator
F. G. Maksudov, B. P. Allahverdiev
1307
Completeness of derivative chains of polynomial pencils of operators of odd order
G. V. Radzievskii
1310
A Fejér method for nondifferentiable optimization
M. B. Shchepakin
1315

MECHANICS
Analysis of ways of service-life increase of high-speed rotor rolling contact bearings
V. A. Omel'yanenko, A. S. Kel'zon
1318

FLUID MECHANICS
Numerical solution of the problem of the expansion of a hot gas volume
V. P. Korobeinikov, A. K. Sharipov
1323

THEORY OF ELASTICITY
Steady-state problem of the cutting of an elastic material
B. M. Nuller, I. I. Shekhtman
1327
A general approach to the formulation of linear models of media of different smoothness
A. N. Elpatievskii, I. F. Obraztsov, P. A. Belov
1331

GEOPHYSICS
“Introextension” of potential fields as a “physical” regularization of Poisson equation based on the full gradient and concentration principle
E. V. Karus, V. M. Berezkin, V. G. Filatov
1335
Nonequilibrium phase boundaries in the Earth's mantle
L. M. Truskinovskii
1337

MATHEMATICAL PHYSICS
Diffraction of internal waves by a plate that is located on the free surface of a stratified fluid
R. R. Gabdullin
1343
Features of a scattered field and their role in the method of auxiliary sources
A. G. Kyurkchan, A. I. Sukov
1347
Gaussian behavior of the critical Ising model in a dimension $d>4$
S. B. Shlosman
1350

PHYSICS
An excitation mechanism and kinetics of luminescence of the ketyl radical
N. A. Borisevich, L. M. Bolot'ko, V. V. Dorokhin, N. A. Lysak, S. V. Melnichuk, G. B. Tolstorozhev
1353
Thermodiffusion oscillations in gas mixtures in a laser radiation field
F. V. Bunkin, N. A. Kirichenko, S. P. Kurdyumov, A. B. Potapov, A. A. Samarskii
1357
The theory of equilibrium properties of a system of atoms, some of which are excited
O. V. Derzhko
1361

CRYSTALLOGRAPHY
The X-ray analysis of $3'$-amino-$2'$, $3'$-dideoxythymidine hydrochloride – a termination substrate of DNA polymerases
G. V. Gurskaya, E. N. Tsapkina, S. V. Lindemann, Yu. T. Struchkov, A. A. Kraevskii
1378
Synthesis of single crystals and crystal structure of hydronepheline $1$
O. V. Yakubovich, V. I. Tarasov
1382

Erratum: “Discrete space-time and quantum electrodynamics”
K. E. Plokhotnikov
1288

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