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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)

Number 1
MATHEMATICS
Calculation of the Euler characteristic of the intersections of real quadrics
A. A. Agrachev, R. V. Gamkrelidze
11
Examples of the nonuniqueness of the solution of a problem of integral geometry
D. S. Anikonov
15
Subspaces of the differentiability of smooth measures on infinite-dimensional spaces
V. I. Bogachev
18
Application of a computer to the investigation of the generalized solvability of two-point boundary value problems
Ya. V. Verzhbitskii, A. Ya. Lepin, L. A. Lepin
22
Constructive truth and constructive calculi
A. A. Voronkov
26
New classes of index integral transformations
Vu Kim Tuan
30
Solution of the Dirichlet problem for an equation of curvature of order $m$
N. M. Ivochkina
35
Stable algorithms for the penalty method
A. A. Kaplan
38
Lagrangian manifolds and the Maslov index in the theory of minimal surfaces
Lê Hông Vân, A. T. Fomenko
42
A stochastic matrix Lyapunov function and its application
A. A. Martynyuk
46
Some conditions for the representability of functions from $P_k$ by polynomials modulo $k$
D. G. Meshchaninov
50
Uniqueness of an everywhere convergent rearranged orthogonal series
G. M. Mushegyan
53
Solvability of contact problems with a free boundary
E. V. Radkevich
58
A nonlocal boundary value problem in a doubly connected domain for an equation of mixed type with nonsmooth lines of degeneracy
M. S. Salakhitdinov, A. K. Urinov
63

FLUID MECHANICS
Generalizations of a problem of S. A. Chaplygin on a cylindrical vortex
N. A. Slezkin
67

THEORY OF ELASTICITY
A method for the exact solution of integro-differential equations of dynamic problems of the linear theory of viscoelasticity
F. B. Badalov, N. Yu. Khuzhayarov
71

GEOPHYSICS
On a statistical approach to the problem of automated detection of linear elements in aerospace pictures
L. P. Argunov, V. N. Dement'ev, I. A. Igumenova, V. P. Pyatkin, G. I. Salov, V. B. Spector
76
Pulsing hot spot: a manifestation of convective instability of the upper mantle
S. V. Gavrilov, M. A. Karpychev
79
Change in the ELF noise level at the earth surface in the magnetically conjugated region during the “Waterhole” experiment
A. I. Danilushkin, V. V. Krasnoselskikh, V. V. Migulin, P. A. Morozov, A. E. Reznikov
84
Climatological interpretation of time series of satellite observations of the Earth radiation budget
G. I. Marchuk, K. Ya. Kondrat'ev, V. V. Kozoderov
88
A piece-constant stress and strain state of the earth crust in the Garm region
I. L. Nersesov, A. A. Lukk, S. L. Yunga
94

PHYSICS
Long-lived isomer deexcitation in plasma
R. V. Arutyunyan, L. A. Bol'shov, E. V. Tkalya
99
“Fossil rain” in the field of superhigh-frequency self-emission of sea surface
A. I. Zabyshnyi, I. V. Cherny
103
The thermodynamic parameters and distributions of microfield instantaneous values in a nonideal plasma
S. A. Mayorov, A. N. Tkachev, S. I. Yakovlenko
106

MATHEMATICAL PHYSICS
Modeling of the restoration of the envelope of supershort optical impulses from the characteristics of their nonlinear interaction with single-soliton test impulses
V. A. Vyslouh, I. V. Cherednik
110
Problems of the focusing of radiation in the Fresnel approximation
A. V. Goncharsky, V. V. Stepanov
115

CRYSTALLOGRAPHY
Crystal structure of micharaite, $\mathrm{Cu}_4\mathrm{FePbBiS}_6$
I. V. Petrova, E. A. Pobedimskaya, I. A. Bryzgalov
123

Number 2

MATHEMATICS
Semistability and duality in the theory of the Pontryagin alternating integral
A. Azamov
265
Conjugacy theorems for subgroups of extended Chevalley groups that contain split maximal tori
N. A. Vavilov
269
Hardy-type spaces of harmonic functions
V. I. Vlasov
272
A diagonal connection shift method for solving five-point network equations
V. P. Il'in, S. A. Sander
277
A theorem on the interior derivative for a second-order uniformly parabolic equation
L. I. Kamynin
280
Behavior as $t\to\infty$ of the solutions of an exterior boundary value problem with the Leontovich condition for a Maxwell system
B. V. Kapitonov
284

CYBERNETICS AND THE REGULATION THEORY
An estimate for the norm of the control vector in binary automatic systems
S. V. Emel'yanov, I. A. Burovoi, F. Yu. Levada
288
Design of control systems under interval determinacy of the parameters of their mathematical models
A. V. Zakharov, Yu. I. Shokin
292

MECHANICS
Absolute stability of imitation dynamical systems in the first approximation
V. V. Aleksandrov
296
Justification of the method of eigenforms for solving problems of the hydroelasticity of shells of finite dimensions
O. V. Epifanov, O. N. Popov, A. Ya. Tsionskii
301

FLUID MECHANICS
Influence of convection on the propagation of gravity-capillary waves
L. M. Voronin, S. N. Druzhinin, A. A. Lazarev, K. V. Pokazeev
305
On the thermoconvective instability in a vibrational field
M. P. Zavarykin, S. V. Zorin, G. F. Putin
309
Stationary power-law spectra of two-dimensional turbulence in a one-layer ocean with a free surface in the $\beta$ plane
R. S. Iroshnikov
312

THEORY OF ELASTICITY
An adapting variational method under conditions of nonuniqueness of the solution and the singular perturbation
V. V. Larchenko
318
On the problem of “lattice trapping”
N. F. Morozov, M. V. Paukshto
323
Reflection, refraction and radiation of waves in a piecewise homogeneous elastic system that interacts with a fluid
L. I. Slepyan, V. M. Fadeev
325

GEOPHYSICS
On the complex study of wave field characteristics in a well with the purpose of section dividing based on the engineering-geological properties of rocks
M. L. Vladov, A. V. Kalinin, N. A. Kuzub, A. A. Musatov, N. V. Shalaeva
330
Numerical modeling of the spectral short-wave radiation fluxes in a cloudy atmosphere
K. Ya. Kondrat'ev, N. I. Moskalenko, Yu. I. Fedorov, F. S. Yakupova
333
Conductive heat transfer in the Earth mantle
G. I. Petrunin, E. V. Orlik
336
The effect of magma reservoir shape and substance melting on the critical dimensions of magmatic crack
S. V. Sobolev, S. G. Siplivets
341

MATHEMATICAL PHYSICS
Invariant solutions of the heat equation that describe the directed propagation of combustion and spiral waves in a nonlinear medium
M. I. Bakirova, S. N. Dimova, V. A. Dorodnitsyn, S. P. Kurdyumov, A. A. Samarskii, S. R. Svirshchevskii
346

PHYSICS
Determination of the concentrations of oils, emulsified and dissolved in water, by the method of laser-induced fluorescence
A. G. Abroskin, S. E. Nol'de, V. V. Fadeev, V. V. Chubarov
351
Thermoelectromotive force of the semiconductor $p-n-p$ heterostructure
N. S. Lidorenko, I. I. Balmush, Z. M. Dashevskii, A. I. Kasiyan, N. V. Kolomoets
355
The ionization-enhanced defect production in dioped silicon
P. Kh. Khabibullaev, S. N. Abdurakhmanova, M. A. Zaikovskaya, Kh. Kh. Mannanova, B. L. Oksengendler, M. S. Yunusov
358

CRYSTALLOGRAPHY
Regeneration of missing structural factors in the X-ray analysis of macromolecules
V. Yu. Lunin
363

Number 3

MATHEMATICS
Maximally homogeneous $G$-structures and filtered Lie algebras
D. V. Alekseevskii
521
Spectrum of a fourth-order linear integro-differential operator
M. S. Almamedov
525
The arithmetical hierarchy and inductive Turing machines
M. S. Burgin
530
$n$-fold summability of series in principal functions of pencils of ordinary differential operators
A. I. Vagabov
534
Measurable images of compact spaces and selectors of analytic sets
I. V. Evstigneev
538
Discrete-group analysis of ordinary differential equations
V. F. Zaitsev
542
A local-trajectory method for the study of invertibility in $C^*$-algebras of operators with discrete groups of shifts
Yu. I. Karlovich
546
The indicator diagram of an entire function of several variables with a nonnegative indicator
L. S. Maergoiz
551
Approximation of functions by polynomials on sets with a multiply connected complement
Nguen Tu Tkhan'
555
Conditions ensuring continuity up to the contour and the power behavior in neighborhoods of nodes of the solutions of a homogeneous linear conjugation problem with a piecewise continuous matrix coefficient
B. V. Pal'tsev
558
A fixed-point method in the theory of stochastic differential equations
A. V. Ponosov
562
A boundary value problem for a parabolic equation
S. A. Tersenov
566

CYBERNETICS AND THE REGULATION THEORY
New criteria for the absolute stability of automatic control systems with one differentiable nonlinearity
N. E. Barabanov
570
Controllability of nonlinear systems and systems on a foliation
S. V. Emel'yanov, S. K. Korovin, S. V. Nikitin
573

AERODYNAMICS
The use of Schwartz's method in the numerical integration of the Navier–Stokes equations
T. Ya. Grudnitskaya, V. A. Lyul'ka, A. V. Shipilin
577

FLUID MECHANICS
Formation of a vortex soliton
G. G. Sutyrin, I. G. Yushina
580

GEOPHYSICS
On the variations of radium in underground waters of Kopetdag seismic active region
G. I. Voitov, M. R. Milkis, V. M. Belikov, T. V. Gevorkyan
585
Principles of remote monitoring of fresh water quality
K. Ya. Kondrat'ev, A. A. Gitel'son
590
Earthquakes provoked by bolide explosion in the basin of the Chulym River
V. M. Ovchinnikov, I. P. Pasechnik
595
The Urals-Tien Shan electrical conductivity anomaly
V. A. Shapiro
598

MATHEMATICAL PHYSICS
A frozen Potts model on a Cayley tree
A. V. Bakaev, A. N. Ermilov, A. M. Kurbatov
603
Excitation of a magnetic field by the steady flow of a conducting fluid for large magnetic Reynolds numbers
M. M. Vishik
606
Effective long-range potential in three-body theory
M. L. Zepalova
610
Multiple complex zeros of the derivatives of cylindrical Bessel functions
M. K. Kerimov, S. L. Skorokhodov
614
On the electromagnetic radiation arising under compression of a magnetic flux by a “thin” conducting liner
S. M. Ponomarev, V. V. Nefedov
618

PHYSICS
Numerical modeling of the processes of divergence and generation of plasma plume magnetic fields
N. S. Zakharov, V. P. Korobeinikov, I. S. Shaĭnoga
624
Superconductive properties of the crystals with the impurity centers of local electronic pairs
V. S. Lyubimov, S. P. Ionov
627
Acceleration of gravity in the Minkowski space
L. I. Sedov
630

Number 4

MATHEMATICS
Locally biholomorphic equivalence of smooth hypersurfaces in $\mathbf{C}^2$
A. V. Abrosimov
777
An inverse problem for a parabolic equation and the Cauchy problem for some classes of evolution equations in classes of functions of finite smoothness
B. A. Bubnov
782
Various mixing conditions and the asymptotic normality of random fields
A. V. Bulinski
785
Examples of radical rings not imbeddable in simple radical rings
A. I. Valitskas
790
An estimate for the rate of convergence of A. N. Tikhonov's regularization method for nonstable minimization problems
F. P. Vasil'ev
792
Estimates for the trace of an averaged tensor
V. V. Zhikov
796
A multidimensional analogue of the Beltrami equation
I. V. Zhuravlev
801
Smoothness of the solutions of differential equations with respect to a singularly entering parameter
V. I. Kachalov, S. A. Lomov
805
Necessary conditions for the property of being a basis in $L_2(G)$ for a system of eigen- and associated functions of a second-order differential operator
N. B. Kerimov
809
Necessary and sufficient conditions for the existence of entire analytic solutions of singularly perturbed equations
I. S. Lomov
811
The Fourier transform and pseudodifferential operators in superanalysis
O. G. Smolyanov, E. T. Shavgulidze
816
Complexity of optimization on independent systems
N. A. Sokolov
821
A general boundary value problem of function theory
A. P. Soldatov
825
Semigroups of transformations of fixed rank
R. B. Feizullaev
829

CYBERNETICS AND THE REGULATION THEORY
Controllability of linear dynamical systems
S. V. Emel'yanov, I. A. Burovoi, V. N. Kirilychev
832

FLUID MECHANICS
Calculation of turbulent viscosity on the basis of the renormalization group
É. V. Teodorovich
836

GEOPHYSICS
Low-frequency electric fields in the layer of atmosphere near the ground at subsurface explosions
V. V. Adushkin, S. P. Solov'ev
840
Assessment of effects of the thermal microwave radiation scattering in clouds and precipitation
L. P. Bobylev, E. V. Dorofeev, S. Yu. Matrosov, G. G. Shchukin
845
An optical-structural analysis of the Earth crust forms according to topographic maps
I. N. Stepanov, N. A. Loshakova, E. V. Orlova
847
Electrostatic fields of coal
N. V. Cherskii, V. A. Dryndin, Yu. F. Makogon, T. V. Mikhina
851

MATHEMATICAL PHYSICS
A series of phase transitions of the first kind for the Ising model in a half space
A. G. Basuev
854
On the electromagnetic radiation arising under compression of magnetic flux by cylindrical coaxial liners
S. M. Ponomarev, V. V. Nefedov
857

PHYSICS
Energy spectra of multiply charged ions in a three-component laser plasma
M. R. Bedilov, Sh. D. Sultanov, B. K. Khabibullaev, A. Kholbaev
865
Small-scale two-dimensional self-focusing
M. V. Pyatakhin, A. F. Suchkov
868
Intermittency in Kolmogorov turbulence
A. V. Tour, V. V. Yanovskii
873
PMR spectra and the glass-liquid-solid phase transitions in the vitreous water-salt solutions
V. A. Finkel'shtein, I. D. Isaev, A. G. Lundin
877

GEOCRYOLOGY
Self-similar solution of the problem of heat- and water flux during granular soil freezing
P. A. Yanitskii
880

Number 5

MATHEMATICS
Homology of the intersections of real quadrics
A. A. Agrachev
1033
Inverse problems of transport theory
Yu. E. Anikonov, B. A. Bubnov
1037
A new approach to the calculation of the entropy of the geodesic flow and of related dynamical systems
D. Yu. Burago
1041
Bockstein inequalities in homology dimension theory
A. N. Dranishnikov
1045
Quasinormal forms for parabolic equations with small diffusion
S. A. Kaschenko
1049
Equilibrium positional strategies in $n$-person differential games
A. F. Kononenko, Yu. E. Chistyakov
1053
A multi-dimensional variant of a problem of A. N. Tikhonov
Ya. S. Kushitsky, S. D. Èidel'man
1056
A representation of an oriented knot
G. S. Makanin
1060
A periodic problem for the Whitham equation
P. I. Naumkin, I. A. Shishmarev
1063
Estimates for the solution of a difference scheme for an equation of a barotropic gas with variable viscosity
Sh. Smagulov, U. B. Zhanasbaeva
1066
Multipliers of Fourier integrals generated by characteristic functions of sets
V. D. Stepanov
1068
Limit values of the solutions of ultraparabolic equations on degeneracy manifolds
S. A. Tersenov
1070

MECHANICS
Construction of models of continua in the special theory of relativity
A. G. Tsypkin
1075

THEORY OF ELASTICITY
Stress concentration near a hole, which is circular at the time of formation, in a body made of a viscoelastic material
V. A. Levin
1079
On the existence of solitons of longitudinal deformation in an infinite nonlinearly elastic rod
A. M. Samsonov
1083

GEOPHYSICS
Complex forerunners of the destruction of large rock blocks
K. Baddari, G. A. Sobolev, A. D. Frolov
1087
On the origin of magnetic susceptibility disaccommodation in rocks
V. A. Bol'shakov
1091
On the mechanism of earthquake generation and the meaning of empirical laws of seismology
S. S. Grigoryan
1094
Modeling of the effect of condensation factor on the optical properties of atmospheric aerosol
K. Ya. Kondrat'ev, N. I. Moskalenko, S. V. Gusev, S. Ya. Skvortsova, F. S. Yakupova, Yu. I. Fedorov
1102

MATHEMATICAL PHYSICS
Chronogeometric and topological structures of spaces with variable signature of the metric
V. P. Golubyatnikov, G. I. Smirnov, V. T. Filippov
1106
Regularization of an inverse coefficient problem of unsteady filtration
M. H. Khairullin
1108

PHYSICS
Stability of weakly turbulent Kolmogorov spectra
A. M. Balk, V. E. Zakharov
1112
$1/n$-expansion for the Stark effect in a strong field
V. M. Vainberg, V. D. Mur, V. S. Popov, A. V. Shcheblykin
1116
Effect of the temperature-induced local magnetic moments on elastic moduli of itinerant electron magnets
P. V. Geld, A. A. Povzner, A. A. Timofeev
1120
A method of quasi-complete operator inversion based on singular integral equations in the transmission lines theory for the three-dimensional super high-frequency integrated circuits
V. A. Neganov, E. I. Nefedov
1124

CRYSTALLOGRAPHY
Localization of canation mottle viruses in a crystal
E. Yu. Morgunova, A. M. Mikhailov, Yu. V. Nekrasov, A. S. Kaftanova, B. K. Vaĭnshteĭn
1129

Number 6

MATHEMATICS
A multiparameter system of operators that is nonlinearly dependent on the spectral parameter
Dzh. È. Allakhverdiev, R. M. Dzhabarzade
1289
Representation of knowledge in intelligent robots on the basis of fuzzy sets
R. A. Aliev, A. È. Tserkovnyi
1292
A family of difference schemes for equations of one-dimensional magnetogasdynamics: properties and error estimates “in the large”
A. A. Amosov, A. A. Zlotnik
1295
The structure of split classical groups over a commutative ring
N. A. Vavilov
1300
Generalized solutions “in the large” of equations of the one-dimensional motion of a viscous barotropic gas
A. A. Zlotnik, A. A. Amosov
1303
Completability of a search for invariant equalities in programs
A. A. Letichevskii
1307
Smoothness of the solutions of boundary value problems and eigenvalue problems for elliptic operators that are degenerate on the boundary
N. V. Miroshin
1310
The law of composition of operators for fractional integro-differentiation with various origins
A. M. Nakhushev, M. S. Salakhitdinov
1313
Uniform invertibility of regular approximations of one-dimensional singular integral operators
V. S. Pilidi
1317
The distribution of numbers represented by the sum of two squares
V. A. Plaksin
1320
Conditions for the existence of a transition zone
E. V. Radkevich
1323
A multifactor optimal planning problem with decreasing cost function
A. N. Tikhonov, A. A. Egorushkin, N. B. Zyabrev
1329
A constructive description of Hölder classes on unbounded continua in $\mathbf{C}$
N. A. Shirokov
1332
Weakly compactly embedded Banach spaces
V. O. Yandarov
1337

THEORY OF ELASTICITY
Stability of a viscoelastic isotropic medium
A. I. Miloslavskii
1341
Asymptotic behavior of the solution of a contact problem for an elastic layer for high oscillation frequencies
M. A. Sumbatyan
1344

GEOPHYSICS
Gradient method of the reconstruction of geomagnetic pulsation field meridional structure
L. N. Baranskii, S. P. Belokrys, Yu. E. Borovkov, M. B. Gokhberg, K. Green, E. N. Fedorov
1347
Investigations concerning the transformation of gravimetric and magnetometric information by the method of numerical experiments
V. N. Stadnichenko, I. I. Naumenko-Bondarenko
1353

MATHEMATICAL PHYSICS
Dynamics of an electron component of quasi-neutral plasma in the magnetic net region
A. A. Bykov, A. I. Morozov, A. G. Sveshnikov, S. A. Yakunin
1357

PHYSICS
Surface parametric radiation from relativistic particles
V. G. Baryshevskiĭ
1363
The picosecond pulse radiolysis system with time reference to Cerenkov light
V. M. Grigoryants, V. V. Lozovoi, Yu. D. Chernousov, I. V. Shebolaev, V. A. Arutyunov, O. A. Anisimov, Yu. N. Molin
1366
The sensitization of neodymium ion luminescence by chromium ions in gadolinium-scandium-aluminium garnet crystals
A. L. Denisov, E. V. Zharikov, A. I. Zagumennyi, S. P. Kalitin, M. A. Noginov, V. G. Ostroumov, A. M. Prokhorov, V. A. Smirnov, I. T. Sorokina, I. A. Shcherbakov
1371
The theory of electronic structure of the benzene molecule and the “channel three decay” mechanism
L. V. Iogansen
1374
The spatial separation of profiles of primary radiation defects produced by the charged-particle deceleration in multicomponent materials
Yu. D. Lizunov, A. I. Ryazanov
1377
Wave front reversal during the nonlinear scattering of sound by pulsating cylinder
L. M. Lyamshev, P. V. Sakov
1382
Optical transistor and switcher based on two-frequency parametric wave interaction in quadratically-nonlinear medium
A. A. Mayer, K. Yu. Sitarskiĭ
1387

CRYSTALLOGRAPHY
X-Ray diffraction study of $\gamma$-lactone $(3aR,4R,6aS,10aS)$-$3a,4,7,7$-7-tetramethylperhydronaphtho [$8a$, $1$-$b$] furan-$2$-one
P. F. Vlad, S. T. Malinovskii, I. P. Dragalin, L. A. Zadorozhnaya, V. E. Zavodnik, T. I. Malinovskii
1391

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