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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)

Number 1
MATHEMATICS
On a case of violation of the multiple completeness property of the eigenfunctions for an ordinary differential pencil
A. I. Vagabov
11
Boundary behavior of normal holomorphic functions of several complex variables
P. V. Dovbush
14
On certain properties of two-parameter stochastic integrals
P. S. Knopov
17
On completeness of linear combinations of simple fractions
Yu. I. Lyubarskii
20
On the completeness of eigenelements of some nonlinear operator equations
A. P. Makhmudov
23
On an ergodic theorem for homogeneous Markov chains
S. V. Nagaev
27
Approximate solution of convergence-evasion problems in differential games
V. V. Ostapenko
30
The principle of splitting an averaged operator for a nonlinear system of equations in periodic and random skeletal structures
G. P. Panasenko
35
On conditions for the existence of a stationary fresh water lens in the presence of infiltration
E. V. Radkevich
40
On the definability of arithmetic in its fragments
A. L. Semenov
44
Homeomorphisms of products of countable spaces
V. Trnková
47
Ultramappings of topological spaces
A. V. Chechkin
51

AERODYNAMICS
Locally nonviscous perturbations in a boundary layer with self-induced pressure
V. I. Zhuk, O. S. Ryzhov
56

MATHEMATICAL PHYSICS
Amplitude and phase characteristics of the scattering layer
T. A. Sushkevich, I. V. Mishin
60
Renormalization group, principle of invariance, and functional automodelity
D. V. Shirkov
64
The matrix operators in the external diffraction problems
V. V. Shcherbak
67

PHYSICS
Shubnikov–de Haas oscillation in $p$-$\mathrm{CdSb}$
È. K. Arushanov, A. V. Lashkul, V. I. Pruglo, S. I. Radautsan, V. V. Sologub
71
Neutron diffraction study of the structure change in liquid rubidium
A. Yu. Astapkovich, E. M. Iolin, E. N. Kozlov, V. O. Nikolaev, S. N. Skovorod'ko, V. A. Fomin, S. E. Tsyrkunova, Yu. I. Sharykin, É. É. Shpil'rain
73
A new type of ionization wave and the mechanism of polarization self-acceleration of electrons in gas discharges under high overvoltage
L. P. Babich
76
Heat exchange of a microparticle with plasma. Scattering effects in the field of image forces
A. A. Uglov, A. G. Gnedovets, Yu. N. Lokhov
80

CRYSTALLOGRAPHY
Crystal structure of strontium diorthovanadate $\mathrm{Sr}_2\mathrm{V}_2\mathrm{O}_7$
A. A. Vedernikov, Yu. A. Velikodnyi, V. V. Ilyukhin, V. K. Trunov
101
Solid solutions inthesystems $\mathrm{LaTaO}_4$$\mathrm{LnTaO}_4$ ($\mathrm{Ln}=\mathrm{Nd},\mathrm{Sm},\mathrm{Eu},\mathrm{Gd},\mathrm{Tb},\mathrm{Dy},\mathrm{Yb}$)
V. K. Trunov, L. N. Kinzhibalo
104

Number 2

MATHEMATICS
Regularization conditions for an approximating family of maximin problems with respect to associated sets
E. R. Avakov
265
An unimprovable sufficient condition for continuity with probability $1$ of trajectories of a random process
Yu. G. Balasanov, I. G. Zhurbenko
270
On the rate of convergence in the functional law of the iterated logarithm
A. V. Bulinski
274
A posteriori estimates of the solutions of ill-posed inverse problems
V. A. Vinokurov, Yu. L. Gaponenko
277
On approximation operators generated by nonnegative measures
Yu. I. Volkov
280
On the asymptotics of the spectral shift function
V. Ya. Ivrii, M. A. Shubin
283
On asymptotic solutions of the equations of classical mechanics
V. V. Kozlov, V. P. Palamodov
285
Invariance theorems for a system of random linear equations over an arbitrary finite ring
A. A. Levitskaya
289
The completeness of structural synthesis rules
G. E. Mints, È. Kh. Tyugu
291
On the distribution of linear functionals in finite-dimensional spaces of large dimension
S. V. Nagaev
295
A dual method for solving a linear ill-posed problem using a parametric modified Lagrange functional and Tihonov's variational method
S. M. Oganesyan, V. I. Starostenko
297
Ultraoperators in the theory of information systems
A. V. Chechkin
302

CYBERNETICS AND THE REGULATION THEORY
$D$-different multicommodity flows in communication networks
S. A. Aleskerov, A. F. Grigorovich
306

FLUID MECHANICS
On the isolation from blood the biopolymers decreasing the hydrodynamic resistance
V. I. Burakovski, S. S. Grigoryan, M. V. Kameneva, D. B. Saprygin, V. V. Smirnov, S. A. Shanoyan, A. A. Shakhnazarov
310

GEOPHYSICS
On the nature of temporal fluctuations of the rock electrical resistance in the zones of active breaks
A. A. Avagimov, V. I. Lykov
311
On the presence of nonlinear effects in the propagation of elastic waves in rocks
V. N. Bakulin, A. G. Protosenya
314
Origin of underwater table mountains – guyots
O. G. Sorokhtin, A. M. Gorodnitskii
317

PHYSICS
The use of the $m=0$ instability of a $z$-pinch-liner for the three-dimensional plasma compression
S. G. Alikhanov, V. P. Bakhtin
322
Bragg three-wave mixing for the optical phase conjugation
N. B. Baranova, B. Ya. Zel'dovich
325
Stochastic modes of maser oscilktions
K. V. Vladimirskii, A. A. Norvaishas
328
Chemical pumping of the vibrational levels of the $\mathrm{CO}_2$ molecule – the $\mathrm{CO}+\mathrm{O}+\mathrm{M}$ recombination reaction products under conditions of the mixing gas-dynamic laser
V. V. Kovtun, S. S. Novikov, I. B. Svetlichnyĭ
332
Vortices with topological charge $2$, $3$, and $4$ in an active chemical medium
V. I. Krinskii, K. I. Agladze
335
Irreversibility in the classical statistical mechanics
H. E. Norman, L. S. Polak
337
Strata in a high-frequency discharge
A. T. Rakhimov, N. V. Suetin
341

CRYSTALLOGRAPHY
Crystal-and molecular structure of $6$-azauracyl $\mathrm{S}_5$-thiogalactopyranoside
S. T. Malinovskii, A. S. Shalamai, I. V. Alekseeva, T. I. Malinovskii, V. P. Chernetskii
345
Change of $\mathrm{LnNbO}_4$ structures in lanthanoid series
V. K. Trunov, L. N. Kinzhibalo
348

Number 3

MATHEMATICS
On the asymptotics of the eigenvalues of the linearized Navier–Stokes equations
K. I. Babenko
521
On a system of differential equations in Banach space
Yu. Ya. Belov, N. N. Yanenko
526
On the asymptotics of the eigenvalues for a class of elliptic operators acting in bundles over a manifold with boundary
V. Ya. Ivrii
530
Duality theorems and dual categories of shapes and coshapes
Yu. T. Lisitsa
532
On functions of generalized bounded variation and functions absolutely continuous in a generalized sense
T. P. Lukashenko
537
Some properties of an $L$-pseudosolution and of an element minimizing a generalized Tihonov functional
S. M. Oganesyan, V. I. Starostenko
540
On projective resolutions of the identity operator and Markuševič bases
A. N. Plichko
543
On the length of verifying tests for logic networks
G. R. Pogosyan
546
Solvability of initial-boundary value problems for flows of an ideal incompressible inhomogeneous fluid bounded by a free surface
V. I. Sedenko
550
On the asymptotic behaviour of Feller chains
S. N. Smirnov
554
Infinite-dimensional pseudodifferential operators and Schrödinger quantization
O. G. Smolyanov
558

MECHANICS
An analogy in the mechanics of a continuous media
A. N. Guz
563

FLUID MECHANICS
Diffraction of an acoustic wave by a plate situated near a plane
E. A. Krasil'shchikova
566

GEOPHYSICS
Evolution of the Earth at the volumetric differentiation of its interior part
A. S. Monin, O. G. Sorokhtin
572

MATHEMATICAL PHYSICS
Structure of energy levels and wave functions near the spectrum edge of unidimensional unordered structures
L. N. Grenkova, S. A. Molchanov, Yu. N. Sudarev
576
On the temperature dependence of the magnon spectrum
V. P. Silin, À. Z. Solontsov
580
On exact solutions of the Born–Infeld equation
W. I. Fushchych, N. I. Serov
582
Dissipation at low energies for slowly decreasing potentials
D. R. Yafaev
586

PHYSICS
Attenuation of narrowly directed beams in snow- and sea-ice layers
V. V. Bogorodsky, E. S. Volodin
591
Enhancement of shock waves in liquids with vapor- and dissolving gas bubbles
A. A. Borisov, B. E. Gel'fand, R. I. Nigmatulin, Kh. A. Rakhmatulin, E. I. Timofeev
594
Polarization record of the dynamic holographic gratings in the MBBA liquid crystal mesophase
S. G. Odulov, Yu. A. Reznikov, M. S. Soskin, A. I. Khizhnyak
598
The determination of the radiation field in a composite medium if the solutions of transfer problems for its arbitrarily choiced macroparts are known
O. V. Pikichyan
601
Chapman–Enskog method and the nonequilibrium thermodynamics
V. I. Roldugin
606
Interrelation between the structure of inner electron lines in XPS spectra of $\mathrm{Mn}^{n+}$ ion and its spin state in natural manganese oxides
Yu. A. Teterin, A. S. Baev, Yu. P. Dikov, A. I. Gorshkov
610

Number 4

MATHEMATICS
Duality of linear differential games of pursuit
A. Azamov
777
An algebraic approach to the proof of turnpike theorems
S. A. Ashmanov
780
On optimal statistical estimators of the spectral density
R. Yu. Bentkus, Yu. V. Sushinskas
782
On some singularly perturbed problems with nonsmooth boundary functions
V. F. Butuzov, A. V. Nesterov
786
Forced vibrations of an oscillator with hysteresis taken into account
T. S. Gil'man, A. V. Pokrovskii
790
Estimates for the Pettis integral in interpolation spaces, and a generalization of some imbedding theorems
A. B. Gulisashvili
793
On general conditions for a minimum
P. P. Zabreiko, A. V. Zafievskii
798
On the finite-dimensionality of bounded invariant sets for dissipative problems
O. A. Ladyzhenskaya
802
An effective solution of the $H^\infty$ interpolation problem with nodes of bounded multiplicity
V. M. Martirosyan
805
On random sections of polyhedra
G. S. Sukiasyan
809
Completely integrable geodesic flows of left-invariant metrics on Lie groups which are connected with commutative graded algebras with Poincaré duality
V. V. Trofimov
812
On subspaces of a Banach space that coincide with the ranges of continuous linear operators
V. V. Shevchik
817
On a new method of numerical simulation of the evolution of complex discrete systems
T. M. Eneev, N. N. Kozlov
820

CYBERNETICS AND THE REGULATION THEORY
Models of construction of goal-based program packages
I. M. Makarov, V. B. Sokolov, A. V. Shcherbakov, S. S. Poroshin
825

FLUID MECHANICS
Free oscillations of a viscous incompressible fluid in a semi-infinite circular tube
E. V. Bogdanova
829

THEORY OF ELASTICITY
Nonlinear shock waves in media with memory, and the method of discontinuities
A. A. Lokshin
834

GEOPHYSICS
Generation of the electromagnetic radiation during the passage of acoustic waves through crystalline dielectrics and some rocks
N. G. Khatiashvili, M. E. Perel'man
839

MATHEMATICAL PHYSICS
Variationally majorant method in the theory of stochastic stable dynamic systems
Yu. N. Barabanenkov
843
Uncertainty relation and the interpretation of spectra of different nature
E. L. Zhukovskii
847
Exact theory of wave scattering from the echelette-type diffraction grating with absorbing facets
Yu. K. Sirenko, V. P. Shestopalov
851

PHYSICS
Form of lines of the Cerenkov spontaneous radiation in the X-ray frequency range. The theory of stimulated radiation effect
V. A. Bazylev, N. K. Zhevago, M. A. Kumakhov
855
Small-scale roughness influence on the wave propagation through the boundary between two media
V. E. Gershenzon, V. Yu. Raizer, V. S. Etkin
859
On hierarchy of small parameters in the theory of dissipative structures
Yu. D. Kalafati, I. A. Serbinov, L. A. Ryabova
862
Pumping of the translational motion vibrational energy during the collisions of polyatomic molecules in the field of resonance radiation
S. A. Myagkov, V. N. Sazonov
865
Reduction of the effective Hamiltonians for the degenerate and resonant vibrational states of highly symmetrical molecules
V. I. Perevalov, Vl. G. Tyuterev, B. I. Zhilinskii
868
On solving the problem of image reconstruction in NMR tomography
A. N. Tikhonov, V. Ya. Arsenin, I. B. Rubashov, A. A. Timonov
872

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Na}_2\mathrm{ZrGe}_2\mathrm{O}_7$
G. D. Ilyushin, A. A. Voronkov, L. N. Dem’yanets, V. V. Ilyukhin, N. V. Belov
877
Homologous series in the system of chemical elements
N. L. Smirnova, N. V. Belov
879
Applicability limits of the heavy atom method for the interpretation of centrosymmetrical structures with the translational pseudosymmetry
E. V. Chuprunov, T. N. Tarkhova, I. P. Makarova, N. V. Belov
883

Number 5

MATHEMATICS
Abelian regular ideals of a ring
A. V. Andrunakievich, V. A. Andrunakievich
1033
Imbedding theorems for some spaces of infinitely differentiable functions, and nonlinear equations with subordinate terms
G. S. Balashova
1037
On the solvability of the two-phase, time-dependent Stefan problem
M. A. Borodin
1040
On mesh-distance finiteness of the influence of boundary conditions
Yu. M. Davydov
1043
Totally real field extensions
Yu. L. Ershov
1047
On imbedding and compactness theorems for anisotropic weighted Sobolev spaces
L. K. Kusainova, K. T. Mynbaev
1050
The averaging method and optimal stabilization of the motions of nonlinear systems
A. A. Martynyuk
1054
The method of quasisolutions on noncompact sets
V. A. Morozov
1057
On the index of pseudodifferential operators with isolated singularities of symbols in $R^n$
B. A. Plamenevskii
1062
On the algebra generated by pseudodifferential operators on $\mathbf{R}^n$. Operators of multiplication by almost-periodic functions, and shift operators
V. S. Rabinovich
1066
On the index and homotopy classification of families of singular operators with a Carleman shift
Chin' Ngok Min', I. B. Simonenko
1070
An extrinsic characterization of Dugundji spaces and kappa-metrizable compact Hausdorff spaces
L.V. Shirokov
1073

CYBERNETICS AND THE REGULATION THEORY
Inverse problems of the dynamics of controlled systems and optimal processes
P. D. Krut'ko, Y. P. Popov
1078

AERODYNAMICS
Disruption of equilibrium kinetics of high-threshold reactions in flows having a gas temperature which varies in space
A. A. Abramov, N. K. Makashev
1083
On double waves of the gasdynamic equations for three-dimensional nonstationary flows of an ideal gas with varying entropy
E. N. Zubov
1087

GEOPHYSICS
On the effect of self-enhancement of gravitational anomalies in gradient media
S. S. Ivanov
1092
Latitudinal distribution of freon 11 and methylchloroform in the Pacific atmosphere
Yu. E. Kazakov, V. M. Koropalov, I. M. Nazarov
1095
Seismic noises on the ocean bottom
Yu. P. Neprochnov, V. V. Sedov, A. A. Ostrovsky
1098
Seismic holography and vertical inhomogeneity of the upper mantle
A. V. Nikolaev, P. A. Troitskii, E. S. Husebye
1102
A hydrodynamic model of nonstationary atmospheric front
G. I. Shapiro
1105
On displaying the structures of deep-sea trenches in geomagnetic field of the North-Western Pacific
Yu. V. Shevaldin
1108

PHYSICS
Oscillation of Shubnikov–de Haas in $n$-$\mathrm{CdSb}$
È. K. Arushanov, A. V. Lashkul, D. V. Mashovets, V. I. Pruglo, S. I. Radautsan, V. V. Sologub
1112
The effect of the heat conduction of the metal oxidation kinetics and heating dynamics in air under the radiation
O. G. Buzykin, A. V. Burmistrov, S. S. Klyukin, M. N. Kogan, V. M. Uskov
1115
Description of polymorphic phase transformations under the dynamic effect
B. V. Zamyshlyaev, E. A. Govorukha, V. A. Scherbatyuk
1119
On the method of electron density determination in crystals by the $\delta$-electron yield
F. F. Komarov
1123
Essentially nongeodetic motions of the spinning test body in GR
R. M. Plyatsko, A. L. Vynar
1125

CRYSTALLOGRAPHY
Mechanism of crystal growth in the field of centrifugal forces
G. E. Bogdanov, A. M. Askhabov
1129
Growth habit and the distribution of dislocations in para tellurite crystals
A. P. Kalashnikov
1132
Crystal- and molecular structure of catena-$\mu$-iodo-($1{,}2$-cyclohexanedioxime)copper$(\mathrm{I})$
Yu. A. Simonov, A. A. Dvorkin, T. I. Malinovskii, D. G. Batyr, I. I. Bulgak, L. D. Ozol
1135

Number 6

MATHEMATICS
Multiple minimality of part of the system of root vectors of a Keldys pencil
V. V. Vlasov
1289
The contracting compactum principle for solving ill-posed problems
Yu. L. Gaponenko
1293
On a class of inverse problems for parabolic equations
V. M. Isakov
1296
Radial Riesz potentials on the disk and fractional integration operators
N. K. Karapetyants, B. S. Rubin
1299
Bounds of the maximal capacity of a code with a limited scalar product modulus
V. I. Levenshtein
1303
Specker numbers and degrees of undecidability
S. M. Melikyan
1308
Commuting operators of rank $l>1$ with periodic coefficients
S. P. Novikov
1311
On the Stone–Weierstrass approximation theorem
S. G. Ovsepyan
1314
Approximation of the potential surfaces of elliptic operators by difference potentials
A. A. Reznik
1318
Spinor structures on complex manifolds
A. M. Shermenev
1321

FLUID MECHANICS
Mathematical simulation of nonsteady detached flow around lattices of solid profiles
V. N. Kotovskii, M. I. Nisht, R. M. Fedorov
1326

THEORY OF ELASTICITY
Solution of the problem of a substantial increase in the critical load of a compressed elastic rod using boundary conditions leading to a multipoint boundary-value problem
V. A. Buchin
1331

PHYSICS
On the possibility of chemical bond selective ruptures by laser field in multi atom molecules
V. M. Akulin, S. S. Alimpiev, N. V. Karlov, A. M. Prokhorov
1336
Basic regularities of the radiation of relativistic electrons during their motion along the circular arc
V. G. Bagrov, I. M. Ternov, N. I. Fedosov
1339
On the mechanism of photofield emission from silicon
P. G. Borzyak, A. A. Dadykin
1344
On the features of scattering of waves, radiated by concentrated sources, on unclosed screens with small holes
S. S. Vinogradov, Yu. A. Tuchkin, V. P. Shestopalov
1347
Line form of the excited collective state
A. A. Korneev, V. M. Osadchiev
1351
Stability of latitudinal winds on the Jovian atmosphe
N. N. Morozov, O. P. Pogutse
1354
On trali functions of the helium atom ground state
V. I. Reshetnyak, F. I. Fedorov
1356

CRYSTALLOGRAPHY
The distribution of gas submonolayer adsorbed on thin film surface
L. S. Palatnik, A. I. Fedorenko, A. A. Ryabchun
1370
On the interpretation of Fourier-syntheses in the presence of pseudosymmetry
E. A. Soldatov, È. A. Kuz'min, N. V. Belov
1374

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