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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)

Number 1
MATHEMATICS
On Markusevich bases
B. V. Godun
11
On quasiclassical spectral asymptotics for the Schrödinger operator on manifolds with boundary and for $h$-pseudodifferential operators acting in bundles
V. Ya. Ivrii
14
Asymptotic expansion of a solution of a system of equations of elasticity with periodic, rapidly oscillating coefficients
G. A. Iosif'yan, O. A. Oleinik, G. P. Panasenko
18
On the representation of first order theories in type-free combinatorially complete systems
A. S. Kuzichev
23

AERODYNAMICS
Structure of shock waves
V. V. Struminskii, V. Yu. Velikodnyi
28

FLUID MECHANICS
Hydrodynamic forces acting in an acoustic field in a viscous fluid
A. N. Guz, A. P. Zhuk
32
Effect of particle-momentum transfer on the stability of the interface of incompressible liquids
V. A. Lykov
36

THEORY OF ELASTICITY
Properties of compliance functions for a layered and a continuously nonuniform half-space
S. M. Aizikovich, V. M. Aleksandrov
40
Resonances in an elastic infinite cylinder and the transformation of complex waves into undamped waves
P. E. Krasnushkin
44

ASTRONOMY
Detection of quasi-periodic variations of the Faraday rotation angle at the polarization radioscopy of solar corona
S. I. Avdyushin, V. A. Krylov, B. A. Poperechenko
49
On the second $6$m-mirror of BTA
È. A. Vitrichenko
53
Greenhouse effect of the Martian atmosphere in the period of higher volcanic activity
K. Ya. Kondrat'ev, N. I. Moskalenko, S. N. Parzhin
55

GEOPHYSICS
Cellular structure formation in the elastoplastic medium with internal friction and dilatancy
I. A. Garagash
59
Thermal evolution of the Earth under the bulk mechanism of the differentiation of its interior part
A. S. Monin, O. G. Sorokhtin
63
On the motion of chemical and phase boundaries in the Earth interior part
L. M. Truskinovskii, O. L. Kuskov, N. I. Khitarov
68

MATHEMATICAL PHYSICS
Bifurcation of Couette flow between rotating cylinders in the case of a double eigenvalue
K. I. Babenko, A. L. Afendikov, S. P. Yur'ev
73

PHYSICS
On anomalies in atomic particle ionization probability in crystals
V. A. Bazylev, A. V. Demura
79
Fluctuation unpinning of the dislocation from a harmonically oscillating obstacle
R. A. Vardanyan, V. Ya. Kravchenko
82
$\mathrm{YAlO}_3$ crystal-based three-micron lasers with high concentration of ions $\mathrm{Ho}^{3+}$ and $\mathrm{Er}^{3+}$
A. A. Kaminskii, V. A. Fedorov, A. O. Ivanov, I. V. Mochalov, L. I. Krutova
85
Kerr effekt in the isotropic phase of liquid-crystalline $4$-$n$-hexyloxyphenyl $4'$-$n$-decyloxybenzoate
E. I. Ryumtsev, T. A. Rotinyan, M. A. Agafonov, V. N. Tsvetkov
89
Specific-heat anomaly of $\mathrm{Cu}_{0{,}96}\mathrm{Zn}_{0{,}04}\mathrm{SiF}_6\cdot6\mathrm{H}_2\mathrm{O}$ near the lability limit
B. Ya. Sukharevskii, F. A. Boiko, A. M. Bykov, I. M. Vitebskii, V. E. Ganenko
93

CRYSTALLOGRAPHY
Crystal structure of thiosemicarbazidediacetic acid
I. F. Burshtein, G. A. Kiosse, N. V. Gerbeleu, I. G. Filippova, V. I. Lozan, O. A. Bologa, T. I. Malinovskii, V. S. Fundamenskii
109
Model representations of the structure of $\mathrm{SiO}_2$ amorphous films of short-range atomic order
S. S. Olevskii, M. S. Sergeev, A. L. Tolstikhina, V. P. Repko, P. E. Kandyba
113
A new type of instability in the ferroelectric smectic $\widetilde{C}$
Z. B. Radzhabova, S. P. Chumakova, I. G. Chistyakov
117

Number 2

MATHEMATICS
On the solvability of boundary value problems for linear and quasilinear equations of $B$-elliptic type
A. N. Baidakov
265
Multipliers of Fourier series in spherical functions and properties of the symbol of a multidimensional singular operator
A. D. Gadzhiev
268
Solution of the synthesis problem in differential games with the help of the controllability function
V. I. Korobov
269
On Fourier series of functions having a logarithmic fractional derivative
D. L. Kudryavtsev
274
On a general method studying spectral asymptotics and its application to shell theory
S. Z. Levendorskii
276
On homogeneous solutions of the Dirichlet problem in the exterior of a slender cone
V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii
281
Some possibilities for the application of constructive analysis to classical analysis
N. N. Nepeivoda
284
Characterization of shapes of bicompacta by means of similar spectra
I. S. Rubanov
288
On a Riemann–Hilbert problem with a shift
A. P. Soldatov
291
The optimum result function in a control problem
A. I. Subbotin, N. N. Subbotina
294
On linear systems of ordinary differential equations
M. M. Khapaev
299

FLUID MECHANICS
Instability of an extended tangential discontinuity: first term in the expansion in the wave vector
Ya. B. Zel'dovich, P. I. Kolykhalov
302
Transport equation for the deformation-rate tensor and description of an ideal incompressible liquid by a system of equations of the dynamical type
V. E. Yanitskii
305

ASTRONOMY
Optical properties of the Titan atmosphere and the radiant heat transfer
K. Ya. Kondrat'ev, N. I. Moskalenko, S. N. Parzhin
309

GEOPHYSICS
Planetary and regional features of the mantle structure according to the observations of exchange wave $PS$
L. P. Vinnik, R. A. Avetisyan, N. G. Mikhailova
313
On global tectonics of planets
A. S. Monin
317

MATHEMATICAL PHYSICS
A microscopic model of the superconductor with normal state nuclei
A. S. Shumovskii, V. I. Yukalov
320

PHYSICS
On the interconnection between the wave field amplitude and phase
L. D. Bakhrakh, O. S. Litvinov
324
On the Biot–Savart law for equilibrium plasma
A. L. Krylov
328

CRYSTALLOGRAPHY
Synthesis and crystal structure of mixed vanadyl and lithium orthophosphate, $\mathrm{LiVOPO}_4$
A. V. Lavrov, V. P. Nikolaev, G. G. Sadikov, M. A. Porai-Koshits
343
Crystal structure of strontium osmate $(\mathrm{VIII})$, $\mathrm{Sr}[\mathrm{OsO}_5(\mathrm{H}_2\mathrm{O})]\cdot3\mathrm{H}_2\mathrm{O}$
N. N. Nevsky, B. N. Ivanov-Emin, N. A. Nevskaya, N. V. Belov
347
The clathrate crystal structure of $\alpha$-quinol with a sulfur dioxide
T. M. Polyanskaya, V. I. Andrianov, V. I. Alekseev, V. V. Bakakin, Yu. A. Dyadin, G. N. Chekhova
349
Crystal structure of acid mixed tantalum and rubidium ortho-pentaphosphate, $\mathrm{Rb}_2\mathrm{Ta}_2\mathrm{H}(\mathrm{PO}_4)_2\mathrm{P}_5\mathrm{O}_{16}$
G. G. Sadikov, V. P. Nikolaev, A. V. Lavrov, M. A. Porai-Koshits
354
Fourier-synthesis of electron density in a crystal and the digital filtration
E. A. Soldatov, V. A. Lebedev, È. A. Kuz'min, N. V. Belov
358

Number 3

MATHEMATICS
On discretization of the Laplace operator
S. D. Algazin
521
Estimates of the rate of convergence in the central limit theorem in the space $C(S)$
V. Yu. Bentkus
526
Critical points of fields of convex polytopes and the Pareto-Smale optimum with respect to a convex cone
A. M. Vershik, A. G. Chernyakov
529
On Poisson brackets compatible with algebraic geometry and Korteweg–de Vries dynamics on the set of finite-zone potentials
A. P. Veselov, S. P. Novikov
533
Regularly $r$-closed fields
Yu. L. Ershov
538
Free topological groups of absolute neighborhood retracts and infinite-dimensional manifolds
M. M. Zarichnyi
541
On optimization problems with free boundaries
A. K. Kerimov
545
On theorems of Phragmen–Lindelöf type for solutions of second-order linear and quasilinear elliptic equations with discontinuous coefficients
A. A. Novruzov
549
The coincidence of the dimensions $\dim$ of $l$-equivalent topological spaces
V. G. Pestov
553
On boundary and initial values of solutions of second order parabolic equations
I. M. Petrushko
557
The multiplicative structure of division rings over number fields, and the Hasse principle
V. P. Platonov, A. S. Rapinchuk
560
Hypoellipticity of differential operators in the class of generalized periodic functions
P. R. Popivanov
565
On an estimate of the accuracy of a simple multidimensional search
I. M. Sobol'
569

AERODYNAMICS
Stochastic modeling of uniformly expanding rarefied gases
V. I. Shematovich, G. I. Zmievskaya, A. A. Pyarnpuu
573

FLUID MECHANICS
Principles of the fluid mechanics of two-phase media
O. V. Voinov
577

THEORY OF ELASTICITY
The relation between the solutions of mixed dynamical problems for a continuous elastic medium and a lattice
L. I. Slepyan
581

MATHEMATICAL PHYSICS
Fundamental solution of the wave equation with a velocity depending linearly on one argument
V. I. Makovetskii
585
Topology and isometries of the de Sitter world
N. V. Mitskevich, Yu. E. Senin
586
Solution of an inverse problem of diffraction
T. I. Savelova
590
On the regularity of the “finite-zone” solutions of integrable matrix differential equations
I. V. Cherednik
593
Averaging of the solution of the Schrödinger equation with a randomly time-dependent potential
S. E. Cheremshantsev
597

PHYSICS
The formation of acoustic saturation waves in a medium with random non homogeneities
A. V. Alekseev, N. V. Sushilov
602
Nondipole radiation at positron planar channeling: comparison of the theory with the experiment
V. N. Baier, V. M. Katkov, V. M. Strakhovenko
605
On the wide-band mixors for the vacuum ultraviolet and soft X-ray radiation
A. V. Vinogradov, N. A. Konoplev, A. V. Popov
610
State equation and phase-equilibrium curve for the liquid-vapor systems
N. M. Kuznetsov
613
Theoretical dependence of chromium ion levels in ruby on pressure
N. A. Kulagin, D. T. Sviridov
616
On the homogeneous nucleation of a new-phase particle in supersaturated multicomponent solid solutions
V. V. Slezov, E. F. Tikhonov
619

CRYSTALLOGRAPHY
Crystal structure of nabaphite, $\mathrm{NaBa}[\mathrm{PO}]_4\cdot9\mathrm{H}_2\mathrm{O}$
S. V. Baturin, Yu. A. Malinovskii, N. V. Belov
624
Crystal structure of a new lithium hydroxoosmiate $(\mathrm{VIII})$, $\mathrm{Li}_2[\mathrm{Os}\mathrm{O}_4(\mathrm{OH})_2]$
N. N. Nevsky, B. N. Ivanov-Emin, N. A. Nevskaya, N. V. Belov
628

Number 4

MATHEMATICS
The metric projection onto the class $H(\Omega)$
V. I. Berdyshev
777
Generalized localization for multiple Fourier series and the geometry of measurable sets in $N$-dimensional space
I. L. Bloshanskii
780
Boundary value problems for functional-differential inclusions
S. A. Brykalov
784
The Wiener–Hopf equation, the Riemann–Hilbert problem, and orthogonal polynomials
V. S. Vladimirov, I. V. Volovich
788
Investigation, by large parameter methods, of a system of nonlinear differential-difference equations modeling a predator-prey problem
S. A. Kashchenko
792
Isometries in spaces of analytic functions with slowly growing derivatives
J. Mayer
795
A condition for a priori monotonicity of heat flow on the boundary
N. V. Muzylev
798
Elements of convex programming in axiomatic convexity theory
V. P. Soltan
800

CYBERNETICS AND THE REGULATION THEORY
Systematic construction of a program to solve a particular problem from a given class by the method of mixed computations: the parser example
A. P. Ershov, B. N. Ostrovsky
803
Controllability and observability of nonlinear systems and terminal- control synthesis
A. A. Zhevnin, A. P. Krishchenko, Yu. V. Glushko
807

MECHANICS
A computitional model of diffuse discharge on electrodes in weakly ionized plasma
M. S. Benilov, V. I. Kovbasyuk, G. A. Lyubimov
812
Nonlinear systems that are superpositions of gyrostats
A. B. Glukhovsky
816

FLUID MECHANICS
Exact solution of the problem of diffusion in a periodic velocity field, and turbulent diffusion
Ya. B. Zel'dovich
821

GEOPHYSICS
On the possible systematic errors of the OVM pendulum gravity apparatus
Yu. D. Bulanzhe
827
Possible thermodynamic effects during submarine earthquakes
M. R. Garber, S. L. Solov'ev
830

PHYSICS
Relaxation effects in photoelectron spectra of $d$-metals
V. I. Anisimov, A. I. Likhtenshtein, M. I. Katsnel'son, È. Z. Kurmaev, V. A. Gubanov
832
On the $P$-odd effects during the formation of muon pairs in hadron collisions
A. I. Akhiezer, M. P. Rekalo
835
On the excitation spectrum of alternating magnetic chains with odd number of atoms in elementary cell
A. A. Ovchinnikov, V. O. Cheranovskii
838
Structure of electron avalanche at high $E/P$
A. I. Pavlovskiĭ, L. P. Babich, T. V. Soboleva, B. N. Shamraev
840

CRYSTALLOGRAPHY
Structure of the adducts of thiourea and ethylenethiourea to cobalt $(\mathrm{II})$ thiosemicarbazide diacetate
T. I. Malinovskii, L. I. Petukhov, N. V. Gerbeleu
857

Number 5

MATHEMATICS
Uniqueness of the solution of the inverse problem of scattering theory for a class of ordinary differential operators of even order
M. G. Gasymov
1033
The method of transformation operators in the theory of general weighted boundary value problems for singular and degenerate elliptic equations with a parameter
V. V. Katrakhov
1037
Nontriviality of some spaces of infinitely differentiable functions in angular domains and the solvability of nonlinear elliptic equations
A. Ya. Kobilov
1040
Averaging singularly perturbed parabolic operators and stabilization of the solution of the Cauchy problem
E. V. Krivenko
1044
On fundamental solutions and hypoellipticity of some singular differential operators
A. A. Kulikov
1049
On a method for investigating the boundary behavior of $\mathrm{ACL}$-functions
B. P. Kufarev
1052
Exponential decrease of solutions of a class of partial differential equations
V. Z. Meshkov
1056
Asymptotics of the spectrum of elliptic operators and boundary conditions
V. A. Mikhailets
1059
Imbedding of nonlinear operators and a priori estimates of the solutions of nonlinear equations
S. I. Pokhozhaev
1063
The generalized Dirichlet problem
Yu. A. Rozanov
1067
On the theory of inverse problems of electrodynamics
V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva
1070
Complexity of statistical systems
A. D. Yudin
1073

CYBERNETICS AND THE REGULATION THEORY
Synthesis of control systems using coordinate-parametric and parametric feedbacks
S. V. Emel'yanov, S. K. Korovin, B. V. Ulanov
1077
Construction principles for controlled direct search methods
A. S. Rykov
1082

MECHANICS
Seld-excited vibrations in systems with inertial excitation
V. I. Babitskii, P. S. Landa
1087

AERODYNAMICS
Nonstationary three-dimensional flow of a hypersonic stream of a relaxing gas over a thin wing
M. M. Kuznetsov
1090

GEOPHYSICS
On the significance of cold film in the gas exchange between the atmosphere and the reservoirs
V. S. Savenko
1094

MATHEMATICAL PHYSICS
Averaging a boundary-value problem of elasticity theory in perforated regions
O. Yu. Kalugin
1097
On small natural oscillations of a nonlinear acoustic resonator
A. L. Štaras
1100

PHYSICS
Interaction between aluminium and gallium arsenide surface
V. G. Aleshin, V. V. Nemoshkalenko, E. M. Semashko, A. I. Senkevich, V. M. Prokopenko
1105
Emission spectra of the $\mathrm{Xe}$ beam plasma
A. Kh. Amirov, V. M. Batenin, A. V. Karlashov, O. V. Korshunov, V. F. Chinnov
1108
On the probability of transitions between levels of transverse movement at axial electron channeling
V. A. Bazylev, V. V. Goloviznin
1112
Energy transfer and generation in phosphate glasses activated by chromium, ytterbium, and erbium
N. V. Danilchuk, S. G. Lunter, Yu. P. Nikolaev, G. T. Petrovskiĭ, Yu. K. Fedorov, V. N. Shapovalov
1115
Dependence of the reflection and passage coefficients on the thickness of scattering layer of a matter during the grazing incidence of a fast-particle beam on its surface
A. I. Kuzovlev, V. S. Remizovich
1118
Resonant diffusion of banana particles in tokamak with field ripple
P. N. Yushmanov
1123

CRYSTALLOGRAPHY
On the kinetic transition during the growth of an ordering crystal
E. A. Brener, D. E. Temkin
1135
Crystal structure of sodium tetraoxodihydroxoosmate $(\mathrm{VIII})$ $\mathrm{Na}[\mathrm{Os}\mathrm{O}_4(\mathrm{OH})_2]\cdot2\mathrm{H}_2\mathrm{O}$
N. N. Nevsky, B. N. Ivanov-Emin, N. A. Nevskaya, N. V. Belov
1138

Number 6

MATHEMATICS
Periodic linear groups of odd characteristic
A. V. Borovik
1289
Subdirect and stratified products of groups
O. G. Ganyushkin
1291
On quasidifferentiability of real-valued functions
V. V. Gorokhovik
1294
Nonintegrability of Kirchhoff's equations
V. V. Kozlov, D. A. Onishchenko
1298
On the distribution density of the norm of a Gaussian vector in a Banach space
V. I. Paulauskas
1301
Covering a graph by a system of shortest simple chains
S. V. Yushmanov
1303

MECHANICS
Surface instability of a layered half-space with periodic structure
A. N. Guz, V. N. Chekhov, N. A. Shul'ga
1306
Plane flow of granular dilatation material with stagnant zones
A. S. Kuznetsov
1310
A nonlinear problem of heat and mass transfer to a particle in a gas flow at small Reynolds numbers
A. D. Polyanin
1315
On the dynamic bending of plastic plates
A. R. Skovoroda
1319

FLUID MECHANICS
The effects of nonequilibrium sorption, diffusion and heat exchange in displacement of oil by active liquids
P. G. Bedrikovetskii, R. D. Kanevskaya, M. V. Lur'e
1324
Finite-amplitude convective motions in a layer of a solution with solid boundaries
S. Ya. Gertsenshtein, E. B. Rodichev, V. M. Schmidt
1330
Resonant action of nonstationary deformation of the boundaries on the stability and secondary flow regimes of a viscous fluid
G. V. Levina, A. A. Nepomnyashchii, A. A. Pozdeev
1334
Nonstationary secondary flows in a plane channel and the stability of Poiseuille flow against finite perturbations
B. L. Rozhdestvenskii, I. N. Simakin
1337

THEORY OF ELASTICITY
A theory of plasticity and creep which takes microfracturing into account
Yu. I. Kadashevich
1341
Toroidal shells: delayed catastrophes under dynamic loading
I. F. Obraztsov, A. S. Vol'mir, C. Z. Khairnasov
1344

GEOPHYSICS
Electrical phenomena occurring during the rock sliding under conditions of high hydrostatic pressure action
Muzafar Kh. Bakiev, J. Byerlee, V. S. Kuksenko
1347
Periodic variations of the seismic wave parameters under the lithosphere prospecting by powerful explosions
N. G. Gamburtseva, E. I. Luke, V. N. Nikolaevskii, S. I. Oreshin, I. P. Pasechnik, V. E. Peregontseva, H. D. Rubinshtein
1349
On the noninvariance of observing systems in the vision theory
V. Y. Zuev, V. V. Belov, G. M. Krekov
1353

MATHEMATICAL PHYSICS
Stationary magnetic field in a periodic flow
V. I. Arnol'd, Ya. B. Zel'dovich, A. A. Ruzmaikin, D. D. Sokolov
1357
Bounds and the asymptote of the stress-strain state of a threedimensional body with a crack in elasticity theory and creep theory
N. Kh. Arutyunyan, S. A. Nazarov, B. A. Shoikhet
1361

PHYSICS
Asymmetry of conductivity along the polarization axis in ferroelectrics
I. F. Kanaev, V. K. Malinovskii
1367
Optical properties and electronic structure of intermetallic compound $\mathrm{PdSc}$
L. V. Nomerovannaya, M. M. Kirillova, E. M. Savitskii, V. P. Urvachev
1370

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Na}_4\mathrm{P}_4\mathrm{O}_8\mathrm{S}_4\cdot6\mathrm{H}_2\mathrm{O}$
V. V. Ilyukhin, V. R. Kalinin, T. B. Kuvshinova, I. V. Tananaev
1387
The crystal and molecular structure of benzotephum ($\mathrm{N}$-benzoyl-$\mathrm{N}'\mathrm{N}'\mathrm{N}"\mathrm{N}"$-diethylenetriamide phosphoric acid)
O. N. Rebrova, V. N. Biyushkin, T. I. Malinovskii, L. D. Protsenko, T. N. Dneprova
1391

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