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 Author Index

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Number 1
CYBERNETICS AND THE REGULATION THEORY
Application of the principle of induction of internal feedbacks in problems of the optimal control of indeterminate nonlinear dynamical systems
S. V. Emel'yanov, I. A. Burovoi, V. L. Volkov
11
Dangerous entropy instability of a control system
A. A. Krasovskii
16
On the choice of regularizing functionals, and optimal time discretization
V. V. Petrov, V. M. Ageev
18
Forced periodic regimes in control systems with regularization by derivative
N. D. Pokrovskaya
21
Construction of polynomials with given Hurwitz determinants and a representation of the solution of a Lyapunov matrix equation
G. M. Khitrov
24

FLUID MECHANICS
Construction of canonical variables and the problem of “gauge” freedom in hydrodynamics
V. P. Goncharov
27
Generalization of the Darcy law for unsteady filtration regimes
O. Yu. Dinariev, O. V. Nikolaev
31
Influence of the character of aerodynamic force variations on the critical conditions of drop disintegration
V. V. Dubrovskii, A. M. Podvisotskii, A. A. Shraiber
36
Strong shock wave instability in monatomic gases
S. A. Egorushkin, M. L. Pekurovskii, V. S. Uspenskii
39
Integrability of filtration problems with a moving boundary
P. I. Etingof
42

THEORY OF ELASTICITY
Asymptotic solution of a class of dual equations for small values of the parameter
S. M. Aizikovich
48

GEOPHYSICS
Lunar-solar tides and acoustic emission in the interior of the geophysical medium
A. S. Belyakov, G. M. Vereshchagina, V. V. Kuznetsov
53
Classification and some quantitative characteristics of convection regimes for horizontal rotating layer of fluid
B. M. Bubnov, G. S. Golitsyn
55
On the mechanism of dilatancy and columnar failure of brittle rocks under uniaxial compression
L. N. Germanovich, A. V. Dyskin, M. N. Tsyrul'nikov
58
Nonlinear well-to-well sounding by the method of seismic field modulation of acoustic waves
A. L. Groshkov, R. R. Kalimulin, G. M. Shalashov, V. A. Shemagin
63
Single-ship wide-angle deep seismic profiling experiments
L. J. Kogan
66
Electrometric method for the diagnostics of the stress-strained state of rock massifs
M. V. Kurlenya, V. N. Oparin
71
Effect of mechanical vibrations on seismicity
K. M. Mirzoev, S. H. Negmatullaev
78
Possible reason for seasonal periodicity of some california earthquakes
A. A. Ostrovsky
83

CRYSTALLOGRAPHY
Structure of the pyruvoyl-$L$-methionine oxime
A. A. Dvorkin, Yu. A. Simonov, V. V. Skopenko, I. O. Fritsky, R. D. Lampeka
98

Number 2

MATHEMATICS
Statistical estimates in regression models
A. G. Gadzhiev
265
The width of the instability zone around separatrices of a standard mapping
V. F. Lazutkin
268

MECHANICS
Normal form of the phase space of a mechanical system
V. I. Zubov
273
On the analysis of spalling within the framework of structural fracture mechanics
N. F. Morozov, Yu. V. Petrov, A. A. Utkin
276

AERODYNAMICS
On the possibility of suppression of Tollmien–Schlichting waves generated by sound
S. V. Manuilovich
280
Optimal shockless compression of gas layers
A. F. Sidorov
283

THE MECHANICS OF CONTINUOUS MEDIUM
Piston initiation of detonation in hydrogen-air mixture
V. A. Levin, V. V. Markov, S. F. Osinkin
288
Self-consistent method for the calculation of the effective coefficients for a nonuniform medium with a continuous distribution of physico- mechanical properties
A. V. Chigarev, Yu. V. Chigarev
292

ASTRONOMY
Cassini's laws and the motion of the center of the Moon's mass according to Brown's theory
Yu. V. Barkin
296
On the vortex nature of hot spots in polar area of Venus' atmosphere
V. M. Gryanik
300
A new theory of the motion of Martian moons. Use of the data of the “Phobos” space mission
N. M. Ivanov, Yu. F. Kolyuka, S. M. Kudryavtsev, V. P. Tarasov, V. F. Tikhonov
305

MATHEMATICAL PHYSICS
Some relations in inverse problems for kinetic equations
Yu. E. Anikonov
309
Asymptotics, as $t\to\infty$, of the Green function for the equation of internal waves
V. A. Borovikov
313
On the energy release and stability of heterogeneous configurations under coherent phase transitions
M. A. Grinfel'd, A. A. Krayushkin
317
On the conservation of some tensor quantities during the interaction of charged particles with longitudinal electrical field
E. F. Popov
321
The Schrödinger and Bargmann–Fock representations in non-Archimedean quantum mechanics
A. Yu. Khrennikov
325

PHYSICS
Change of close order in $\mathrm{Hg}_x\mathrm{Cd}_{1-x}\mathrm{Te}$ surface layers under $\mathrm{He}^{2+}$ ion implantation
V. L. Avgustimov, D. I. Bidnyk, S. P. Kostenko, O. G. Maksimova, S. I. Radautsan, I. M. Tiginyanu, A. K. Shkol'nyi
330
Heat safety of buried accident objects of atomic power industry
R. V. Arutyunyan, L. A. Bol'shov, E. P. Velikhov, V. M. Goloviznin, V. P. Kiselev, A. G. Popkov, V. V. Chudanov
333
Interference of the second sound waves in superfluid helium
I. F. Borisenko, A. O. Fedotov, A. B. Shvartsburg
336
$\mathrm{Nd}$-or $\mathrm{Eu}$-doped $\mathrm{Sr}_2\mathrm{TiO}_4$ as a model of lantanum cuprate high-$\mathrm{T}_{\mathrm{c}}$ superconductor
S. N. Vetkina, A. A. Evdokimov, V. F. Zolin, S. A. Smirnov, N. A. Zamiatina
340
A sound field in a neighborhood of a caustic in a moving medium
O. A. Godin
346
Anomalous diamagnetism at $300$ K in $\mathrm{Bi}$$\mathrm{Pb}$$\mathrm{Sr}$$\mathrm{Ca}$$\mathrm{Cu}$$\mathrm{O}$ ceramics intercalated by benzene
L. S. Grigorian, A. R. Arutyunyan
350
Elastic oscillations of permanent magnet suspended over high-$\mathrm{T}_{\mathrm{c}}$ superconductor
V. V. Nemoshkalenko, M. A. Ivanov, B. G. Nikitin, K. I. Pavlyuk, Yu. G. Pogorelov
353

Number 3

MATHEMATICS
Dependence of the stability of a set of dynamical systems on the structure of the coupling between them
E. I. Alekseeva, V. M. Kirzhner
521
Multidimensional systems of differential equations of composite type with nonsmooth coefficients
K. Kh. Boimatov
525
Solution of the Hadwiger problem for a class of convex bodies
V. G. Boltyanskii, P. S. Soltan
528
A regularization method in the space of piecewise-continuous functions
V. P. Borovikov, I. P. Borovikov, Yu. L. Gaponenko
533
An algorithm for optimizing nonlinear dynamical systems
R. Gabasov, F. M. Kirillova, O. I. Kostyukova
537
Noethericity and the index of a class of two-dimensional singular integral operators
G. Dzhangibekov
541
A boundary value problem for second-order elliptic equations in domains on a sphere
I. A. Kipriyanov, V. V. Katrakhov
545
Differentiability of an operator of best uniform approximation of complex-valued functions
V. V. Kovtunets
548
A class of irreducible polynomials over a finite field
E. N. Kuz'min
552
The basis property of eigenfunctions of a nonlocal boundary value problem
E. I. Moiseev
556
Reconstruction of the Sturm–Liouville operator from its weighted zeta-function
V. E. Podolskii
559

CYBERNETICS AND THE REGULATION THEORY
Functional systems of Post algebra type
Dou Zhutszin
563

GEOPHYSICS
Acoustic disturbance induced by underground nuclear explosion as a source of electrostatic turbulence in the magnetosphere
M. B. Gokhberg, V. A. Pilipenko, O. A. Pokhotelov, S. Parthasarathy
568
On the correlation of space-time characteristics of hydrodynamic processes (exemplified by lakes)
G. M. Degtyarev, A. G. Ivanov-Rostovtsev, L. G. Kolotilo, O. A. Lyubchenko
574
On the dependence of the global circulation of atmosphere on processes in interplanetary medium
A. D. Sytinskii, D. A. Oborin
577
New data on the mechanism of the natural fractionation of even uranium isotopes $(^{234}\mathrm{U}$, $^{238}\mathrm{U})$
P. I. Chalov, S. G. Samotsvetov
581

MATHEMATICAL PHYSICS
An effective method for solution of the problem of diffraction on cylindrical screen
V. N. Vavilov, È. I. Veliev, V. V. Veremeĭ, V. P. Shestopalov
585

PHYSICS
Formation of the microzone structure in growing of high-melting oxide crystals
M. Kh. Ashurov, A. G. Budrevich, D. S. Gafitullina, R. A. Erzin, V. V. Osiko
590
Magnon contribution to the tunnelling from $\mathrm{EUO}$ barrier
A. S. Borukhovich
594
Microwave power generation mechanism in systems with virtual cathode
A. N. Didenko, V. I. Rashchikov
597

CRYSTALLOGRAPHY
Gas-flame crystallization of high-$\mathrm{T}_{\mathrm{c}}$ superconductors
L. N. Dem’yanets, B. P. Sobolev, K. P. Chirkina, V. M. Tsarev, A. A. Andronov, O. S. Bondareva, O. I. Lyamina
612

Number 4

MATHEMATICS
Effective computation of averaged characteristics of composites of periodic structure that consist of essentially different materials
N. S. Bakhvalov, A. V. Knyazev
777
Primitive recursion on finitely decomposable Cooper algebras
Yu. V. Gavrilenko
782
Reconstruction and one-sided approximation of periodic functions of several variables
Đinh Dung
787
Unique solvability in the class $L_2$ of the Tricomi problem for a parabolic-hyperbolic equation with lowest terms
N. Yu. Kapustin
790
The algebra of boundary value problems for a class of pseudodifferential operators of variable order
S. Z. Levendorskii
795
Central series and series of commutators of certain subgroups of Chevalley groups
V. M. Levchuk
799
The Bernstein inequality in representations of Lie groups
I. Z. Pesenson
803
Justification of a model of zero-width slits for the Neumann problem
I. Yu. Popov
806
Symmetric spaces over semifinite von Neumann algebras
F. A. Sukochev, V. I. Chilin
811
Definition of the convolution of inverse matrices defined in the class of functions of two variables
Yu. S. Tumashev
816
Estimates for the potential of masses and the solvability of an inverse problem
V. G. Cherednichenko
820
Conjugacy problems for operator-differential equations with a small parameter
M. Yu. Yunusov
824

GEOPHYSICS
A method for optimal estimation of earthquake coordinates
V. N. Beloborodov
828
Microwave thermometry of the stratosphere from aerostat
A. A. Vlasov, E. N. Kadygrov
831
Forecasting of the 1966 Chim-Tepe and the 1989 Gissar earthquakes
I. E. Gubin
834
On the self-similarity coefficients of dynamic processes in natural media
G. M. Degtyarev, A. G. Ivanov-Rostovtsev, L. G. Kolotilo, O. A. Lyubchenko
837
Diurnal variations of the vertical profile of ozone concentration in upper atmosphere, from the data of radiometric measurements
K. Ya. Kondrat'ev, N. I. Moskalenko, Yu. I. Fedorov, F. S. Yakupova
840

MATHEMATICAL PHYSICS
On the correctness of the phenomenological model of equilibrium phase transitions in a deformable elastic medium
A. M. Meirmanov, N. V. Shemetov
843

PHYSICS
Nanosecond neutron pulse generation by high overvoltage gas discharges in deuterium
L. P. Babich, T. V. Loiko
846
Observation of the effect of bistability under conditions of magnetic resonance in the millimeter wave range
A. A. Vertii, S. P. Gavrilov, S. I. Tarapov, V. P. Shestopalov
849
Deformation fluctuations and structural phase transitions in metals
À. Z. Solontsov
853

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{K}(\mathrm{K}_{0,58}\mathrm{Na}_{0,42})_2\mathrm{Zn}_3\mathrm{Mn}_{1,5} [\mathrm{Si}_{12}\mathrm{O}_{30}]$ – a new natural representative of milarite structural type
T. N. Nadezhina, E. V. Sokolova, D. I. Belakovskii
865

Number 5

MATHEMATICS
Periodic solutions of a logistic difference equation
P. N. Antonyuk, K. P. Stanyukovich
1033
Spectral asymptotics of polynomial pencils of differential operators
K. Kh. Boimatov, A. G. Kostyuchenko
1036
On uniformly quasiconformal discontinuous groups not isomorphic to Möbius groups
N. A. Isachenko
1040
H. Busemann's $G$-spaces with a Riemannian metric
A. V. Pogorelov
1044
Multiplication operators and spectral synthesis
V. S. Shulman
1047

CYBERNETICS AND THE REGULATION THEORY
Asymptotic observers for a class of nonlinear dynamical objects
S. V. Emel'yanov, S. K. Korovin, A. L. Nersisyan, Yu. E. Nisenzon
1052
A mathematical model for collective representation
A. S. Tanguiane
1057

AERODYNAMICS
On a new method for solution of equations of turbulent gaseous exchange in the vegetative cover
Yu. A. Pykh
1063
Three-dimensional, low angle of attack boundary layer on objects with slightly asymmetric transverse cross sections
A. D. Khon'kin, V. I. Shalaev
1067

FLUID MECHANICS
The energy of vortex formation during oscillations of a solid with sharp edges in a liquid
V. A. Buzhinskii
1072
Interaction of moderate intensity solitary pressure waves in fluid with gas bubbles
V. E. Nakoryakov, V. E. Dontsov, P. G. Markov
1074

THE MECHANICS OF CONTINUOUS MEDIUM
A study of the propagation of sound in the framework of generalized Navier–Stokes equations
B. V. Alekseev
1078

GEOPHYSICS
Indication of the ecological-geochemical transformation of soils under action of technogenous hydrocarbon gases and their remote identification
G. I. Belchanskii, A. N. Vasil'ev, N. E. Zhuravel, A. P. Pichugin
1082
On the variations of chemical composition of hydrocarbon gases in exhausted seam systems of oil-fields Sel-Rokho (West Fergana) and Abuzy (Krasnodar region)
G. I. Voitov, A. K. Abduvaliev, S. M. Ammosov, A. O. Grinevskii, R. N. Murogova, T. G. Orlova
1085
Energy constraints on the effective moduli of elasticity of anisotropic micrononhomogeneous media
V. A. Kalinin, I. O. Bayuk
1090
Seismogravity pulsations of the Earth and disturbances of the atmosphere as possible precursors of strong earthquakes
E. M. Lin'kov, L. N. Petrova, K. S. Osipov
1095

MATHEMATICAL PHYSICS
The Burman–Lagrange series method in the problem of analytic representation of Newtonian potential of perturbed ellipsoidal configurations
V. V. Masyukov, V. P. Tsvetkov
1099

PHYSICS
Properties of the distribution of harmonics in plane magnetic undulator
V. G. Bagrov, G. F. Kopytov, V. Epp
1103
Temperature-induced local magnetic moments and the peculiarities of electrical conduction of $\mathrm{Fe}_{1-x}\mathrm{Co}_x\mathrm{Si}$
P. V. Geld, A. A. Povzner, Sh. Sh. Abelskii, L. F. Romasheva
1107
A macroscopic model of the relaxation of oscillatory-excited molecules in boundary layer
V. M. Doroshenko, N. N. Kudryavtsev, V. V. Smetanin
1110

Number 6

MATHEMATICS
The logistic difference equation. Period doublings and Fermat numbers
P. N. Antonyuk, K. P. Stanyukovich
1289
Properties of symmetry elements of $n$-dimensional lattices of Minkowski and Euclidean spaces
I. A. Baltag
1292
Description of the structure of a set of polynomial convergence in the complex plane
V. A. Belyaev
1296
Modified Laplace transforms and a multidimensional $H$-transform
Vu Kim Tuan
1299
Uniqueness of trigonometric series that are summable by the Riemann method
G. G. Gevorkyan
1302
Estimates for the rate of convergence of approximate methods for calculating the flows of a viscous incompressible fluid with a free surface in domains with corner points
I. B. Erunova, V. Ya. Rivkind
1306
An operational calculus that is connected with periodic splines
V. A. Zheludev
1309
Statistical analysis of the star catalog Almagest
V. V. Kalashnikov, G. V. Nosovskii, A. T. Fomenko
1315
An algebraic coefficient criterion for convergence “with reserve” (exponential stability) of solutions of linear stationary difference equations
D. G. Korenevskij
1320
Some applications of nontrivial expansions of zero in the theory of convolution operators
Yu. F. Korobeinik
1324
Range of the Radon exponential transform
P. A. Kuchment, S. Ya. L'vin
1329
Localization of eigenvalues and root vectors under weak perturbation
E. A. Larionov
1331
Boundary value problems for Hermitian operators with gaps
M. M. Malamud
1335
On $L_p$-theory for the Stokes problem in unbounded domains with a compact boundary
V. N. Maslennikova, M. A. Timoshin
1341
Varieties of solvable Lie algebras
S. P. Mishchenko
1345
Approximation of conservation laws by difference schemes of double sweep calculation
V. V. Ostapenko
1348
A stable method for solving an operator equation in the presence of a constraint
M. M. Potapov
1352
Solvability of an elliptic problem in $\mathbf{R}^n$ with a supercritical index of nonlinearity
S. I. Pokhozhaev
1356
L. V. Kantorovich–G. Sh. Rubinshtein duality for Lipschitz spaces that can be defined by differences of arbitrary order
L. G. Khanin
1360
Constructive abelian $p$-groups
N. G. Khisamiev
1365
Reconstruction of differential operators from the Weyl matrix
V. A. Yurko
1368

CYBERNETICS AND THE REGULATION THEORY
Attraction of trajectories of finite-difference inclusions and stability of numerical methods of stochastic nonsmooth optimization
S. K. Zavriev, A. G. Perevozchikov
1373
A class of discrete quasistationary linear dynamical systems
A. M. Krot
1376

MECHANICS
Stability of a layered half-plane under the action of surface distributed loads
A. N. Guz, V. P. Korzh, V. N. Chekhov
1381
Study of an elastic layer in a liquid half-space (two-dimensional problem)
Yu. D. Kaplunov, D. G. Markushevich
1384
Transformation of the vibration modes of a string that interacts with two straight stretched obstacles
V. L. Krupenin
1390
Temperature dependence of the surface energy and the thermal fracture instability
I. L. Maksimov
1395

AERODYNAMICS
Velocity calculation in the method of discrete vortices
I. K. Lifanov
1399

FLUID MECHANICS
A class of exact solutions of the Navier–Stokes equations for a compressible viscous gas
S. N. Aristov
1403
A study of self-oscillating regimes that are close to the Poiseuille flow in a two-dimensional channel
A. L. Afendikov, V. P. Varin
1407
Generation of regulated monodispersed droplet fluxes by the method of forced capillary jet disintegration
V. V. Blazhenkov, A. F. Ginevsky, V. A. Grigor'ev, A. S. Dmitriev
1412
A strong explosion in a mixture of a gas and several types of particles
A. N. Gavrilov
1417
Poisson brackets for hydrodynamic models with intrinsic degrees of freedom
V. P. Goncharov
1420
On the theory of axisymmetric generalized analytic functions in dynamical processes
V. F. Piven'
1424
Electrostatic deposition of aerosol particles onto the grounded disc
A. V. Filippov
1427

GEOPHYSICS
Asymptotics of the norm square of a solution of a problem on natural torsional oscillations of a sphere that is filled with a radially inhomogeneous elastic medium
Yu. A. Adamchik
1431
On the relation between spreading and propagation rates of rift structures
S. V. Aptonov
1433
Mechanical-gravitational model of the interaction of continental plates in the Tien-Shan region
E. B. Burov, M. G. Kogan
1439
On the density of $\mathrm{CH}_4$ flow into the troposphere over gas and oil fields (exemplified by the Amu-Darya Depression)
G. I. Voitov, I. S. Starobinets, R. I. Usmanov
1444
Unitarity and a recurrent method for calculating scattering matrices for plane waves on an elastic layered medium
A. A. Gorkovets, A. N. Kremlev
1448
Nonstationary thermal models of oceanic lithosphere
S. S. Sardarov (jr.), K. S. Kaziev
1452

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