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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)

Number 1
MATHEMATICS
On the existence and stability of solutions of an equation with retarded argument in Hilbert space
R. G. Aliev
11
An asymptotic expansion for the distribution of a statistic admitting a stochastic decomposition depending on a linear combination of order statistics, for close alternatives
V. E. Bening
14
On the exact solution of some extremal problems on classes of functions determined by integral moduli of continuity
V. G. Doronin, A. A. Ligun
16
On an exact sequence of modules and Bogoljubovís “Edge of the wedge” theorem
V. V. Zharinov
19
The first boundary value problem for a general nonregular equation with constant coefficients
G. G. Kazaryan
22
Multiplicativity conditions for function spaces of Besov and Lizorkin–Triebel type
G. A. Kalyabin
25
On classes of groups of Schmidt type
Sh. S. Kemkhadze
26
Regular extensions of Hermitian operators
A. V. Kuzhel'
30
Two-sided estimates of the approximation of functions by Riesz and Marcinkiewicz means
O. I. Kuznetsova, R. M. Trigub
34
On the imbedding of recursively presented Lie algebras and groups
G. P. Kukin
37
Finite-dimensional distributions of processes defined by stochastic differential equations, and the extrapolation of such processes
V. S. Pugachev
40
The operator $(dd^cu)^n$ and the capacity of condensers
A. Sadullaev
44
Determination in real time of all the periodicities in a word
A. O. Slisenko
48
Guaranteed estimates of undetermined quantities by means of ellipsoids
F. L. Chernous'ko
51
Diophantine approximations in $L_2$ extremal problems
V. A. Yudin
54

MECHANICS
Extremal properties of resonant motions
V. V. Beletskii, G. V. Kasatkin
58

THEORY OF ELASTICITY
Application of large elastic deformations in the space of final states
V. A. Levin, G. S. Taras'ev
63

PHYSICS
Investigation of the steam absorption spectrum in the region of $590$ nm
A. B. Antipov, A. D. Bykov, O. K. Voitsekhovskaya, V. Y. Zuev, V. A. Kapitanov, V. P. Lopasov, Yu. S. Makushkin, V. I. Tolmachev, O. N. Ulenikov, V. N. Cherepanov
67
Four-wave interaction as a controlled frequency filter
V. N. Blashchuk, N. F. Pilipetskiĭ, V. V. Shkunov
70
On the molecule drift under the effect of resonance infrared radiation
A. M. Dykhne, A. N. Starostin
74
On the nonuniformity of physical characteristics of ultradisperse particles
I. D. Morokhov, L. I. Trusov, V. N. Lapovok, V. F. Petrunin, A. S. Ivanov, A. I. Dubrovina, V. Ya. Ganelin
79
Coulomb excitation of atom by fast multicharged ion
G. L. Yudin
82

CRYSTALLOGRAPHY
Crystal structure of aktashite, $\mathrm{Cu}_6\mathrm{Hg}_3\mathrm{As}_4\mathrm{S}_{12}$
L. N. Kaplunnik, E. A. Pobedimskaya, N. V. Belov
96
Crystal structure of $\mathrm{Na}_4\mathrm{Sc}_2\mathrm{Si}_4\mathrm{O}_{13}$
B. A. Maksimov, O. K. Melnikov, T. A. Zhdanova, V. V. Ilyukhin, N. V. Belov
98

Number 2

MATHEMATICS
On an approach to the solution of optimal control problems
V. V. Anisovich, B. I. Kryukov, V. M. Madorskii
265
Optimization of weakly controllable stochastic systems
V. G. Gaitsgory, A. A. Pervozvanskii
268
The problem of the number of nonautoequivalent constructivizations
S. S. Goncharov
271
The Dirichlet problem for some degenerate elliptic equations with boundary functions in $L_p^*$
G. A. Kalyabin
274
On approximation properties of closed sets in Banach spaces and the characterization of strongly convex spaces
S. V. Konyagin
276
Rockafellar convolution and a characterization of optimal trajectories
A. G. Kusraev, S. S. Kutateladze
280
On bases consisting of derivative chains corresponding to boundary value problems
G. V. Radzievskii
283
The Neumann method in boundary value problems for the Helmholtz equation
A. V. Romanov
288
On a variant of the differential sweep method
S. I. Fadeev
292
A universal lower bound on the rate of growth of globally minimal solutions
A. T. Fomenko
295

CYBERNETICS AND THE REGULATION THEORY
Logical forms of binary relations in a criterial space
“. Ő. Vinogradskaůa, A. A. Rubchinskiĭ
300

MECHANICS
On the hydroelasticity problems for a viscous liquid and elastic bodies with initial stresses
A. N. Guz
305

AERODYNAMICS
Self-focusing and quasiwaveguide propagation of a Gaussian beam in a supersonic current of gas
A. N. Kucherov
309

FLUID MECHANICS
The theory of an ideal raft
A. S. Ginevskii, A. V. Kolesnikov
312
New effects in the flow of two-phase media in an electric field
V. V. Gogosov, V. A. Naletova, G. A. Shaposhnikova
315

GEOPHYSICS
Distinguishing the forerunners of medium-strength earthquakes by the method of magnetometry and geodesy
T. V. Guseva, I. L. Nersesov, Yu. P. Skovorodkin
320
Rock equation of state under explosive loading
B. V. Zamyshlyaev, L. S. Evterev, S. G. Krivosheev
322
Investigation of large-scale breakdown in the IHPP Big Press
A. A. Semerchan, V. N. Badanov, V. V. Garnov, K. E. Gubkin, P. V. Kevlishvili, V. P. Koryavov, V. M. Kuznetsov, L. D. Livshits, Yu. A. Sadkov, A. G. Fomichev
326

PHYSICS
Electrical breakdown caused by a shock wave in optical glasses with space charge
A. I. Akishin, S. V. Akimenko, N. V. Berbash, L. I. Ivanov, N. F. Orlov, Yu. I. Tyutrin, V. A. Yanushkevich
330

CRYSTALLOGRAPHY
On the crystal structure and twinning of seligmannite and bournonite
V. V. Bakakin, A. A. Godovikov
345
Explosion synthesis and crystal structure of $[\mathrm{ClF}_6][\mathrm{CuF}_4]$
A. S. Batsanov, Yu. T. Struchkov, S. S. Batsanov
347
An algebraic method of superposition function construction
V. A. Lebedev, E. A. Soldatov, Yu. N. Drozdov, È. A. Kuz'min, V. V. Ilyukhin, N. V. Belov
350
On the time behavior of crystal growth rates
V. A. Petrovsky, T. M. Turkina
352
Crystal structure of erbium germanogermanate $\mathrm{Er}_4\mathrm{Ge}_3\mathrm{O}_9(\mathrm{OH},\mathrm{F})_6$. On the crystallochemical features of the $\mathrm{TR}_4[\mathrm{Ge}^{\mathrm{VI}}\mathrm{Ge}_2^{\mathrm{IV}}\mathrm{O}_9] (\mathrm{OH},\mathrm{F})_6$ ($\mathrm{TR}=\mathrm{Er}-\mathrm{Lu}$) structural type
D. Yu. Pushcharovskii, A. M. Dago, E. A. Pobedimskaya, N. V. Belov
354

Number 3

MATHEMATICS
Imbedding theorems for generalized Besov and Hölder spaces
M. Z. Berkolaiko
521
Additive problems of analytic number theory and the asymptotics of distributions of rank statistics
Yu. V. Borovskikh, V. S. Korolyuk
525
Application of singular perturbation theory to the study of mathematical problems of mass transfer in multicomponent systems
A. B. Vasil'eva, A. A. Khasanov
529
New forms of realizability and Markov's rule
A. G. Dragalin
534
Limits of monotone sequences of Banach spaces. Applications
Yu. A. Dubinskii
537
On S. P. Novikov's conjecture in the theory of $\theta$-functions and nonlinear equations of Korteweg–de Vries and Kadomtsev–Petviashvili type
B. A. Dubrovin
541
A method of fictitious unknowns for solving difference equations of elliptic type in domains of complicated form
I. E. Kaporin, E. S. Nikolaev
544
On the convergence of spectral decompositions corresponding to nonnegative selfadjoint extensions of the Sturm–Liouville operator
N. Lažetić
548
Quasiregular differential operators of fourth order
G. A. Mirzoev
550
On a higher precision implicit method of integrating differential equations
G. E. Pukhov, N. I. Ronto
554
Symmetries of Sturm–Liouville equations and the Korteweg–de Vries equation
A. V. Samokhin
557
Open existence properties for some extensions of the intuitionistic type theory
G. F. Schwartz
562
Estimates for powerlike quasipolynomials of the type of A. A. Markov's and S. M. Nikolískii's inequalities
S. L. Edelstein
566

MECHANICS
Mechanism of generation of Korotkov sounds
S. S. Grigoryan, Yu. Z. Saakyan, A. K. Tsaturyan
570

AERODYNAMICS
Gas-dynamic regimes of the thermal self-influence effect
M. N. Kogan, A. N. Kucherov
575
Method of calculation of two-dimensional nonstationary flows of a viscous gas in nozzles
A. T. Fedorchenko
578

THE MECHANICS OF CONTINUOUS MEDIUM
Features of convective heat emission of bodies slowly moving in the atmosphere
Yu. A. Glagolev
583

MATHEMATICAL PHYSICS
Dissipative structures in an inhomogeneous nonlinear burning medium
S. P. Kurdyumov, E. S. Kurkina, G. G. Malinetskii, A. A. Samarskii
587
Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid
P. I. Plotnikov
591

PHYSICS
On the quantum-mechanical consideration of the magnetic resonance problem
V. A. Dzhrbashyan
595
Electrostatic mechanism of the charging of bodies with angle points in exterior electrostatic fields. Electrostatic analog of Zhukovskii–Chaplygin hypothesis
V. V. Tolmachev, E. I. Nikiforovich
599

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{CsSbS}_2$
Yu. N. Mikhailov, A. S. Kanishcheva, V. G. Kuznetsov, V. N. Batog
603
On the crystal structure of sidorenkite, $\mathrm{Na}_3\mathrm{Mn}(\mathrm{PO}_4)(\mathrm{CO}_3)$
T. A. Kurova, N. G. Shumyatskaya, A. A. Voronkov, Yu. A. Pyatenko
605
Taking account of the symmetry when determining atom- and interatom vector coordinates by an algebraic method
V. V. Khalmanov, V. V. Ilyukhin, E. A. Soldatov, È. A. Kuz'min, N. V. Belov
608


V. Ya. Glizer, M. G. Dmitriev
520

Number 4

MATHEMATICS
The Cauchy problem for the Korteweg-de Vries equation
B. A. Bubnov
777
Two theorems on the cardinality of topological spaces
A. A. Gryzlov
780
Regularly closed fields
Yu. L. Ershov
783
Branching of solutions and the nonexistence of an additional first integral in the problem of motion of an asymmetric heavy rigid body relative to a fixed point
S. L. Ziglin
786
Estimates of diameters of the unit sphere of the function space $\mathring{L}^l_p(\Omega,v)$ in $L_q(\Omega)$
L. K. Kusainova
791
On the singularities of solutions of differential equations
V. V. Lychagin
794
Asymptotic as $t\to\infty$ of the solution of the Cauchy problem for the nonlinear Schrödinger equation
V. Yu. Novokshenov
799
A martingale analogue of the strong law of large numbers
T. A. Sarymsakov, Kh. Abdurasulov
803
Turán $l$-graphs and Ramsey numbers
A. F. Sidorenko
805
On the arithmetic properties of values of $E$-functions connected by algebraic equations in the rational function field
A. B. Shidlovskii
808
Asymptotic completeness for the multidimensional time-dependent Schrödinger equation
D. R. Yafaev
812

MECHANICS
Integration of nonlinear nonstationary convective heat- and masstransfer equations
A. D. Polyanin
817

GEOPHYSICS
Transverse wave velocity and Debye temperature in potassium halogenides during the polymorphous transformation
P. S. Akulova, E. I. Bayuk, M. P. Volarovich
821
On the conditions of thermodynamic equilibrium of nonlinearly elastic material phases
M. A. Grinfel'd
824
Mechanism of the formation of the earthquake hydrodynamic forerunner
F. I. Monakhov
828

MATHEMATICAL PHYSICS
Two methods of comparing solutions of parabolic equations
V. A. Galaktionov
832
Interaction of dissipative heat structures in nonlinear media
S. P. Kurdyumov, G. G. Malinetskii, Yu. A. Poveschenko, Yu. P. Popov, A. A. Samarskii
836

PHYSICS
Rheological state equation and dispersion of sound in gel-like media
È. I. Andriankin, I. D. Protasov
840
On the plasma chemical methods of obtaining energy earners with the separation of products on electrolytic membranes
V. A. Legasov, V. P. Bochin, V. K. Ezhov, V. D. Rusanov, B. V. Potapkin, A. A. Fridman, G. V. Sholin
845
Backscattering of a plane beam of fast charged particles from the surface of a substance at grazing incidence
V. S. Remizovich, M. I. Ryazanov, I. S. Tilinin
848

Number 5

MATHEMATICS
The star method, new classes of spaces and countable compactness
A. V. Arkhangel'skii
1033
Representations of the solutions of some linear operator equations
S. S. Akhiev
1037
A stable numerical method of solving boundary-value problems for systems of linear ordinary differential equations
A. A. Bykov
1040
A one-dimensional nonisothermic problem of contact hydrodynamics
M. A. Galakhov, P. B. Gusyatnikov
1044
Isometric transmutation operators and the spectral function for a class of one-dimensional singular pseudodifferential operators
V. V. Katrakhov
1048
On the boundary behavior of planar $\mathcal{L}_p^1$-mappings
B. P. Kufarev
1052
Requirements on the boundary in the $L_p$-theory of elliptic boundary value problems
V. G. Maz'ya, T. O. Shaposhnikova
1055
On the duality in categories of topological groups
E. N. Mikhailov
1059
On the continuity of a metric projection in the space $C(Q)$
E. V. Oshman
1063
On boundary values in $\mathcal{L}_p$ , $p>1$ of solutions of parabolic equations
I. M. Petrushko
1067
On an eigenvalue problem for an equation of mixed type
S. M. Ponomarev
1070
On Riccati equations integrable in quadratures
A. K. Prikarpatskii
1072
Search for a maximal upper zero for a class of monotone discrete functions
N. A. Sokolov
1077

CYBERNETICS AND THE REGULATION THEORY
Insensitivity-optimal nonstationary stochastic control systems
B. N. Petrov, A. I. Petrov
1081

FLUID MECHANICS
Critical phenomena in the motion of low-temperature plasma
G. A. Pavlov, V. E. Fortov, A. A. Ovchinnikov
1085

GEOPHYSICS
Chemical magnetization of magnetite and its role in the paleomagnetism
V. V. Gernik
1088
Tectonics of lithosphere platforms and the origin of tsunamigenic earthquakes
L. I. Lobkovsky, O. G. Sorokhtin
1092
Horizontal torsion balance as a seismic field sensor
V. M. Popov
1096

MATHEMATICAL PHYSICS
On the restoration of wave front of an object from its diffraction pattern
V. K. Ablekov, V. S. Avduevskii, Yu. N. Babaev, S. A. Kolyadin, A. V. Frolov, V. A. Frolov
1098

PHYSICS
On the phenomenological theory of spin combustion
A. P. Aldushin, Ya. B. Zel'dovich, B. A. Malomed
1102
Experimental investigation of the undulator radiation spatial monochromatism
D. F. Alferov, Yu. A. Bashmakov, P. A. Cherenkov
1106
Relation of the energy – measurement time uncertainty
Yu. I. Vorontsov
1110

CRYSTALLOGRAPHY
Crystalline and molecular structure of 1,4,9,12-tetraazacyclohexadecane-3,10,13,16-tetraone
A. A. Dvorkin, T. A. Shibanova, N. G. Lukyanenko, Yu. A. Simonov, V. I. Andrianov, Yu. A. Popkov, A. V. Bogatskii, T. I. Malinovskii
1119
On the crystal structures of calciborite, $\mathrm{Ca}_2[\mathrm{BO}_3\mathrm{BO}]_2$, and synthetic calcium boroaluminate, $2\mathrm{CaAl}[\mathrm{BO}_3]\mathrm{O}=\mathrm{Ca}_2[\mathrm{AlO}_3\mathrm{BO}]_2$
Yu. K. Egorov-Tismenko, M. A. Simonov, N. V. Belov
1122
Visualization of the rotation period of polarization plane on the impurities of an optically active crystal
M. G. Serbulenko
1124
Crystal structure of natural monocline kurchatovite, $\mathrm{Ca}_2(\mathrm{Mg}_{0,86}\mathrm{Fe}_{0,14}) (\mathrm{Mg}_{0,92}\mathrm{Fe}_{0,08})[\mathrm{B}_2\mathrm{O}_5]_2$
M. A. Simonov, Yu. K. Egorov-Tismenko, N. A. Yamnova, E. L. Belokoneva, N. V. Belov
1125

Number 6

MATHEMATICS
Deformations of the general Lie algebras of Cartan type
A. S. Dzhumadil'daev
1289
Combinatorial numbers, geometric constants and probabilistic inequalities
D. Katona, B. S. Stechkin
1293
General boundary-value problems for a class of singular and degenerate equations
V. V. Katrakhov
1296
Randomized estimation of the Fourier coefficients of the expansion of a function in $L_2$
A. I. Koryakin
1301
Hamiltonian cohomology of canonical algebras
I. S. Krasil'shchik
1306
Current algebras and nonlinear partial differential equations
A. G. Reiman, M. A. Semenov-Tian-Shansky
1310
On some properties of spectral decompositions corresponding to a selfadjoint elliptic operator of the second order with discontinuous coefficients
M. V. Suchkov
1314
On an optimal problem of Stefan type
A. D. Yurii
1317

MECHANICS
Plane adiabatic burst of a heated polymer layer
V. A. Kopotev
1322

FLUID MECHANICS
Shape of the surface of a capillary liquid in a vertical cylinder of arbitrary cross section
K. I. Babenko, S. P. Yur'ev
1326
Strong explosion and reorganization of the equilibrium configuration during relativistic gravitational collapse
A. N. Golubyatnikov
1330
A problem of the theory of free convection
N. D. Kopachevskii, Ngo Zui Kan
1334

THEORY OF ELASTICITY
Solution of a mixed static problem of elasticity theory for a half-space on an elastic base
M. V. Kavlakan, A. M. Mikhailov
1338

ASTRONOMY
Solar neutrinos and nonradial solar oscillations
G. T. Zatsepin, E. A. Gavryuseva, Yu. S. Kopysov
1342
Radiant heat exchange in the Venusian atmosphere
K. Ya. Kondrat'ev, N. I. Moskalenko, V. F. Terzi
1345

GEOPHYSICS
On the theory of directional seismic antennas
V. A. Babeshko, Zh. F. Zinchenko
1350
On a model of the tectonic earthquake focus
A. S. Bykovtsev, G. P. Cherepanov
1353
Geostrophic convection
G. S. Golitsyn
1356

MATHEMATICAL PHYSICS
Structure of the general solution and classification of partial sums of the Boltzmann nonlinear equation for Maxwellian molecules
A. V. Bobylev
1361
The nonequilibrium Green functions and their applications to nonequilibrium systems
Nguyen Tang
1365

PHYSICS
Optical properties and structural transformation in $\mathrm{NiTi}$
T. K. Boletskaya, V. E. Egorushkin, E. M. Savitskii, V. P. Fadin
1368
On the theory of light-beam nonlinear distortion compensation by means of the inversion of its wave front
L. A. Bol'shov, D. V. Vlasov, A. M. Dykhne, A. N. Starostin
1371
Kinetic properties and high-temperature phase transition in $\mathrm{NiTi}$ and $\mathrm{FeCo}$ alloys
V. E. Egorushkin, E. M. Savitskii, N. I. Fedyainova, V. P. Fadin
1376
Shock-wave front structure in solids
V. Yu. Klimenko, A. N. Dremin
1379

CRYSTALLOGRAPHY
Crystal structure of $\gamma$-$\mathrm{KEr}[\mathrm{PO}_3]_4$ – a new modification of rare-earth metaphosphates $\mathrm{KTR}[\mathrm{PO}_3]_4$
A. M. Dago, D. Yu. Pushcharovskii, E. A. Pobedimskaya, N. V. Belov
1392
Synthesis and structure of $\mathrm{AsSeJ}$ crystals
A. S. Kanishcheva, Yu. N. Mikhailov, A. P. Chernov
1396
Precision orientation of crystals, visualization and measurement of optic axis angles of blocks by means of the conoscopy with a point source
M. G. Serbulenko, V. M. Grika
1398

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