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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)

Number 1
MATHEMATICS
Equations of Korteweg–de Vries type, and simple Lie algebras
V. G. Drinfeld, V. V. Sokolov
11
Eliminability of quantifiers in regularly closed fields
Yu. L. Ershov
16
The collocation method for solving singular integral equations given on a Lyapunov contour of integration
V. A. Zolotarevskii, V. N. Seichuk
20
On a modification of the Bernstein–Nikol'skij inequality for trigonometric polynomials
V. E. Maiorov
23
Nonselfadjoint differential operators in the space of vector-valued functions with periodic coefficients
F. G. Maksudov, O. A. Veliev
26
Homotopy multiplication in the representing spaces of Hermitian $K$-theory
A. I. Nemytov, Yu. P. Solov'ev
30
On multidimensional variations of functions
E. A. Sevast'yanov
34

CYBERNETICS AND THE REGULATION THEORY
Production functions and profit functions
A. A. Shananin
38

AERODYNAMICS
Theory of three-dimensional hypersonic flow around a body
A. I. Golubinskii, V. N. Golubkin
42

FLUID MECHANICS
The influence of disturbances on the stream structure in a separation region
A. V. Dovgal, V. V. Kozlov, V. S. Kosorygin, M. P. Ramazanov
45
On the motion of water in soil in the region of plant roots
A. B. Kazansky, Yu. V. Belyaev
48
Properties of the solution of the Boltzmann equation for high-energy molecular translational motion and their consequences
N. K. Makashev
52

ASTRONOMY
Application of the FP filter for the Venus cloud aerosol investigation
I. V. Petryanov, B. M. Andreichikov, B. N. Korchuganov, E. I. Ovsyankin, B. I. Ogorodnikov, V. I. Skitovich, V. K. Khristianov
57

GEOPHYSICS
On a possible mechanism of elastic wave absorption in the Earth mantle
I. S. Faizullin
60

MATHEMATICAL PHYSICS
Electron-beam controlled discharge relaxation generator (computing experiment)
V. V. Aleksandrov, E. P. Glotov, V. A. Danilychev, V. N. Koterov, A. M. Soroka
63
Group properties of the generalized Landau–Ginzburg equation
V. S. Berman, Yu. A. Danilov
67

PHYSICS
Electronic structure of partially ordered alloys
S. V. Alyshev, V. E. Egorushkin, A. I. Kulmentiev, V. P. Fadin
71
Effect of the intermediate ionic states on the broadening of spectral lines
E. A. Andreev, A. Kh. Mnatsakanyan
75
On the numerical simulation of plasma parametric instability in the region $n_c/4$
S. I. Anisimov, M. A. Berezovskii, M. F. Ivanov, I. V. Petrov, A. M. Rubenchik, V. F. Shvets
78
Phase transitions in chemisorption layers: $\mathrm{InAs}(111)\mathrm{InAs}$ face – $\mathrm{In}$$\mathrm{As}$$\mathrm{Cl}$$\mathrm{H}$ gaseous system
A. A. Chernov, M. P. Ruzaikin
82

CRYSTALLOGRAPHY
X-Ray diffraction study of two phase clinopyroxene from regolith of “Luna-24”
E. L. Belokoneva, N. R. Khisina, L. V. Petushkova, N. V. Belov
99
A new series of double metaborates
A. V. Pashkova, O. A. Sorokina, N. I. Leonyuk, T. I. Timchenko, N. V. Belov
103
Crystallization of gadolinium-aluminium orthoborate in a melt-solution based on potassium molybdate
T. I. Timchenko, A. V. Pashkova, A. V. Azizov, A. Yu. Troshin
106


O. Ya. Viro
10

Number 2

MATHEMATICS
On optimal statistical estimators of a distribution density
R. Yu. Bentkus, A. R. Kazbaras
265
On spaces with bounded curvature
V. N. Berestovskii
269
A general scheme for discretization of regularizing algorithms in Banach spaces
V. V. Vasin
271
On the linear problem of pursuit by several objects
N. L. Grigorenko
275
On a boundary value problem for a parabolic equation with a small parameter
M. G. Dzhavadov, G. M. Guseinov
280
On Noether boundary value problems for overdetermined systems of partial differential equations
P. I. Dudnikov, S. N. Samborskii
283
On the anisotropic strict extremum principle for a second order elliptic-parabolic equation
L. I. Kamynin, B. N. Khimchenko
288
Invariant metrics and quasiconformal mappings
S. L. Krushkal'
293
On Floquet theory for parabolic and elliptic boundary value problems in a cylinder
P. A. Kuchment
296
Ill-posed Cauchy problems and a uniqueness theorem for partial differential equations
A. M. Lavrov
299
On the dependence of the efficiency of alphabet coding on the language of communications
Al. A. Markov
304

CYBERNETICS AND THE REGULATION THEORY
Principle of synthesis of automatic control systems with dynamic backup
V. V. Solodovnikov, V. I. Tumarkin
308

MECHANICS
“Strange” behavior of solutions of the Duffing equations
B. I. Kryukov, G. I. Seredovich
311
Numerical simulation of the formation of a multifrontal detonation-wave structure
V. V. Markov
314

FLUID MECHANICS
“Freezing-in” integrals in two-fluid hydrodynamics
S. S. Moiseev, R. Z. Sagdeev, A. V. Tour, V. V. Yanovskii
318

ASTRONOMY
On some features of the impact crater structure on the Solar system planets and satellites
A. T. Bazilevsky
323

GEOPHYSICS
Relations between the corpuscular radiation and the variations in atmospheric circulation
V. Bucha
326
POLYMODE current spectra
V. N. Drozdov, A. S. Monin, I. G. Yushina
331
Laser sounding of the upper atmosphere at the Molodezhnaya Antarctic station
M. F. Lagutin, Yu. E. Megel, N. N. Petrov, A. A. Zarudnyi, V. N. Kuznetsov, V. E. Mel'nikov, N. P. Mustesov, N. G. Baranov
334

MATHEMATICAL PHYSICS
On the kinetic equations for the electron-phonon systems
A. R. Kazaryan
336
Conformal method of calculating critical indices in the theory of phase transitions
E. S. Fradkin, M. Ya. Pal'chik, V. N. Zaikin
340

CRYSTALLOGRAPHY
Crystal structure of $2$-thio-$2$-etoxy-$4$-methyl-$1{,}3$-di-tert.-butyl-$1,3,2$-diazaphosphorinane
N. V. Belov, V. V. Ilyukhin, V. R. Kalinin, A. I. Zavalishina, A. A. Borisenko, E. I. Smirnova, E. E. Nifantyev
344

Number 3

MATHEMATICS
Operator semigroups and differential equations in Banach space
N. Yu. Bakaev
521
On an asymptotic connection between the approximation of periodic functions by splines and by trigonometric polynomials
V. L. Velikin
525
A multidimensional Tauberian theorem for holomorphic functions with nonnegative imaginary part
Yu. N. Drozhzhinov
530
Chaos in a population
B. G. Zaslavski
533
Continual analogues of orthogonal polynomials on the unit circle with respect to an indefinite weight, and the extension problems connected with them
M. G. Krein, G. K. Langer
537
Estimates of the eigenfunctions and associated functions of a Sturm–Liouville operator with discontinuous coefficients
N. Lažetić
541
On the Maslov–Morozov property in the method of regularization for nonlinear equations of the first kind
O. A. Liskovets
544
An example of the nonexistence of a classical solution to the Stefan problem
A. M. Meirmanov
547
On decay conditions and the limit behavior at infinity of solutions of the system of equations of elasticity theory
O. A. Oleinik, G. A. Iosif'yan
550
On uniform convergence and localization for arithmetic means of Fourier–Laplace series
A. K. Pulatov
554
An error estimate for the normal approximation of the probability of landing in a ball
V. V. Yurinskii
557

THEORY OF ELASTICITY
A class of nuclei for the description of creep in aging media
N. Kh. Arutyunyan, A. A. Zevin
559
Dynamics of a crack in a lattice
L. I. Slepyan
561

GEOPHYSICS
On the asymptotic method for the solution of an inverse dynamic problem in the wave propagation theory
A. S. Alekseev, V. A. Tcheverda
565
On two types of heterogeneous phase equilibria
M. A. Grinfel'd
567
Path integral method for calculation of electromagnetic sounding fields
Yu. A. Dreizin, I. M. Shamraev
570

MATHEMATICAL PHYSICS
Discrete periodic problem for a modified nonlinear Korteweg-de Vries equation
N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, V. G. Samoilenko
575
Method of correction of the solution of the G. D. Malyuzhinets diffusion approximation on a plane waveguide
V. I. Il'ichev, È. A. Polyanskii
580
Boundary-variation method in problems involving a stationary fresh-water lens
E. V. Radkevich
586
An asymptotic formula for condenser capacity
Ya. S. Soibel'man
590

PHYSICS
Band structure of zirconium nitride
P. V. Geld, L. P. Mohracheva, V. A. Tskhai
594
Fiber-optical transdusers of physical values
Yu. V. Gulyaev, V. T. Potapov
598
Modulation instobffities in a system of coupled oscillations of inhomogeneous continous medium
S. S. Moiseev, R. Z. Sagdeev, A. V. Tour, V. V. Yanovskii
601
Stimulated diffusion, differentiation and cooperation of components in distributed kinetic systems
V. I. Talanov
604

CRYSTALLOGRAPHY
Investigation of the ion bombardment influence upon the structure of $\mathrm{SiO}_2$ amorphous films
P. V. Pavlov
617
Isovector structures with two-dimensional networks
V. G. Rau, V. V. Ilyukhin, Yu. T. Struchkov, N. V. Belov
619

Number 4

MATHEMATICS
$\mathrm{K}$-spaces in Boolean-valued models of set theory
E. I. Gordon
777
On a method of solving partial differential equations
Yu. A. Dubinskii
780
On an approach to the solution of convex programming problems
A. A. Kaplan
785
A one-sided problem for a quasilinear equation of hyperbolic type
F. G. Maksudov, A. B. Aliev, D. M. Takhirov
789
On completeness criteria for a model of algorithms for computing estimates and its algebraic closures
V. L. Matrosov
792
On the Chebyshev rank for problems of uniform approximation in the space of $\mathfrak{R}$-bounded functions
G. Sh. Rubinshtein
796
On an inversion formula
V. V. Skazka
801

CYBERNETICS AND THE REGULATION THEORY
Controllability of nonlinear systems and synthesis of control algorithms
A. A. Zhevnin, A. P. Krishchenko
805

MECHANICS
A new property of Euler–Poisson equations
Yu. A. Arkhangel'skii
810

AERODYNAMICS
On the second variation of the Riabouschinsky functional
M. A. Brutyan, S. V. Lyapunov
812
Construction of a model physico-probabilistic analog of collision processes in a rarefied gas
A. A. Pyarnpuu, V. I. Shematovich, G. I. Zmievskaya
815

FLUID MECHANICS
Formulation of problems in the hydrodynamic theory of lubrication
V. M. Aleksandrov
819

THEORY OF ELASTICITY
Exact solutions of three-dimensional problems of the diffraction of plane elastic waves by a wedge
V. B. Poruchikov
823

GEOPHYSICS
The bottom relief and gravitational field of mid-oceanic ridges as indicators of phase transitions in the upper mantle
A. M. Gorodnitskii, I. P. Lukashevich, E. G. Mirlin, E. I. Pristavakin, O. G. Sorokhtin
827
Structure of the earth crust of the Shatsky submarine rise in the north-east of the Pacific Ocean according to the data of deep seismic protruding – reflected wave method
L. J. Kogan
831
Empirical connection between forerunning anomaly of short duration and earthquake parameters
S. S. Sardarov
837

MATHEMATICAL PHYSICS
Self-similar asymptotic behavior and behavior on a light cone in quantum field theory
V. S. Vladimirov, B. I. Zavialov
842
On computer assisted tomography
I. B. Rubashov, A. A. Timonov, A. V. Pestryakov
846
Faster-than-power decrease in time of solutions of the Schrödinger equation
D. R. Yafaev
850

PHYSICS
Analysis of the $\mathrm{D}_2\mathrm{O}$, $\mathrm{HDO}$ and $\mathrm{H}_2\mathrm{O}$ vapor absorption spectrum in the $1{,}06\mu$m region
A. D. Bykov, V. Y. Zuev, V. P. Lopasov, Yu. S. Makushkin, L. N. Sinitsa, O. N. Ulenikov
854
On an investigation of the nature of dimensional vacancy effect
N. S. Lidorenko, S. P. Chizhik, N. T. Gladkikh, L. K. Grigor'eva, P. N. Kuklin
858
Dynamic nucleation of dislocations
V. V. Tokii
861
Critical conditions of the initiation of explosion in solid explosives
V. G. Shchetinin
865

CRYSTALLOGRAPHY
Diagram of the structural-chemical state of iron carbonyl oxide films
S. S. Olevskii, A. L. Tolstikhina, V. P. Repko, M. S. Sergeev
871
$512$-Channel X-ray diffractometer with mosaic detector. The investigation of a series of leggemoglobtn derivatives in ferrous and ferric states
D. M. Kheiker, V. M. Shul'meister, O. I. Ageev, D. A. Goganov, A. N. Popov, È. G. Arutyunyan, I. P. Kuranova, G. V. Obmolova, A. B. Tovbis, A. V. Teplyakov, B. K. Vaĭnshteĭn
875

Number 5

MATHEMATICS
On a difference method of solving a problem of Tricomi type for equations of mixed type
M. A. Aliev
1033
Any topological group is a factor group of a zero-dimensional topological group
A. V. Arkhangel'skii
1037
Solution of the van der Waerden problem for permanents
G. P. Egorychev
1041
Asymptotics of the eigenvalues for some elliptic operators acting in bundles over a manifold with a boundary
V. Ya. Ivrii
1045
On the recognition of an automaton relative to a locally generated class
V. A. Kozlovskii
1047
On relations of trajectory lengths in combinatorial choice problems
V. K. Leont'ev
1049
On $L_1$-convergence of statistical kernel estimators of distribution densities
È. V. Khmaladze, R. M. Mnatsakanov
1052
Isomorphisms and elementary properties of nilpotent powered groups
A. G. Myasnikov, V. N. Remeslennikov
1056
On an extension of the concept of $H$-convexity
V. P. Soltan
1059
On multipliers of Fourier integrals
V. D. Stepanov
1063
Baer ordered $*$-algebras
V. I. Chilin
1065

CYBERNETICS AND THE REGULATION THEORY
Extent of the feedback topology on the basis of regulation by deviation principle
S. V. Emel'yanov, S. K. Korovin
1070

GEOPHYSICS
On the effect of convection in a saturated porous medium on the behavior of geothermal gradient in crust upper layers
A. V. Karakin, L. I. Lobkovsky, V. P. Myasnikov
1075
Evolution of geosystems and the geoatomism
S. S. Sardarov (jr.)
1079

MATHEMATICAL PHYSICS
Nonsteady dissipative structures in nonlinear two-component media with three-dimensional sources
S. P. Kurdyumov, E. S. Kurkina, G. G. Malinetskii, A. A. Samarskii
1084
Diffraction losses in open resonators. A geometric approach
V. F. Lazutkin
1089
On the representation of difference schemes of mathematical physics in operator form
A. A. Samarskii, V. F. Tishkin, A. P. Favorski, M. Yu. Shashkov
1092

PHYSICS
Application of the Gaussian beam summation method for the computation of wave fields in the high-frequency approximation
A. P. Kachalov, M. M. Popov
1097
Functional of the kinetic energy of fermion one-dimensional system
V. Yu. Kolmanovich, I. M. Reznik
1100
Diffusion of carbon in the different sorts of beryllium
N. K. Lashuk, V. G. Tkachenco, V. I. Trefilov
1103
The theory of spherical drop evaporation at arbitrary Knudsen numbers
Yu. I. Yalamov, I. N. Ivchenko, S. M. Muradyan
1106

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{K}_8\mathrm{Yb}_3[\mathrm{Si}_6\mathrm{O}_{16}]_2(\mathrm{OH})$. Polymorphism of radicals $[\mathrm{Si}_3\mathrm{O}_8]$
D. Yu. Pushcharovskii, A. M. Dago, E. A. Pobedimskaya, N. V. Belov
1111
Crystal Chemical prerequisites for improvement of homogeneity in semiconductor materials
S. A. Stroitelev
1115

Number 6

MATHEMATICS
On methods for solving the general problem of convex quadratic programming
R. Gabasov, F. M. Kirillova, V. M. Raketskii
1289
On the formulation of boundary value problems for nonclassical systems
A. Dzhuraev
1293
Optimality of M. Riesz's interpolation theorem in the upper triangle
A. A. Dmitriev, E. M. Semenov
1298
On the convergence of difference schemes for some axially symmetric problems of mathematical physics in classes of generalized solutions
R. D. Lazarov
1301
Some spectral properties of Sobolev elliptic problems
V. A. Lebedev
1304
Parabolic pseudodifferential operators of variable order
Nguyen Minh Chuong
1308
On the coefficients of Fourier series on Sidon sets
E. V. Orlov
1312
On a fiducial approach in constructing confidence limits for functions of several unknown parameters
I. V. Pavlov
1314
Stable classification of knots
M. Sh. Farber
1318

CYBERNETICS AND THE REGULATION THEORY
Synthesis of a system with a variable structure in the output variables
S. V. Emel'yanov, G. I. Lozgachev
1322
A method of the recognition of duplicates and some applications
A. T. Fomenko
1326
Optimal and robust optimization algorithms in the presence of correlated noise
Ya. Z. Tsypkin, A. S. Poznyak
1330

MECHANICS
The stability of compressed-stretched nonuniformly viscoelastic reinforced rods
N. Kh. Arutyunyan, V. B. Kolmanovskii
1334

FLUID MECHANICS
Calculation of turbulent flow between two coaxial rotating cylinders
V. V. Novozhilov
1337

GEOPHYSICS
Gravitational stability and natural oscillations of liquid bodies containing phase transition surfaces
M. A. Grinfel'd
1342
A model of the earth crust formation in mobile belts (at the orogenic stage of development)
V. V. Reverdatto, A. S. Kalinin
1347

PHYSICS
Phase transition into superconducting state in granular films. Quantum fluctuations and topological transition
S. G. Akopov, Yu. E. Lozovik
1351

CRYSTALLOGRAPHY
Crystal structure of $1{,}8$-naftylenophenylphosphite
V. R. Kalinin, L. M. Druyan-Poleshchuk, N. G. Ruchkina, E. E. Milliaresi, E. E. Nifantyev, V. V. Ilyukhin, N. V. Belov
1366

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