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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)

Number 1
MATHEMATICS
On the representation of zero by a form in the field of $p$-adic numbers
G. I. Arkhipov, A. A. Karatsuba
11
An extension of the Markov inequality
B. D. Boyanov
13
Boundary value problems for quasilinear degenerate elliptic and parabolic equations of second order
A. V. Ivanov
15
On the structure of the set of all isometric transformations of a surface of positive curvature that is diffeomorphic to a disk
S. B. Klimentov
19
Difference schemes of second-order precision for the axially symmetric Poisson equation on generalized solutions in $W_2^2$
R. D. Lazarov, V. L. Makarov
22
On the dimension of some spaces
I. M. Leibo
26
Multiplicative decompositions of simple Lie algebras
A. I. Kostrikin, I. A. Kostrikin, V. A. Ufnarovskii
29
Algebraic differential equations and systems having holomorphic solutions
V. P. Petrenko
34
Feynman measures with correlation operators of indefinite sign
A. V. Uglanov
37
Exponentials of Peano continua – fiberwise version
V. V. Fedorchuk
41
Properties of solutions of some control problems connected with the Navier–Stokes system
A. V. Fursikov
44

FLUID MECHANICS
A mathematical theory for the displacement of oil by chemical slugs
P. G. Bedrikovetskii
49

GEOPHYSICS
Variational principles for the steady flows of ideal fluid
M. A. Grinfel'd
54
An electrostatic field in the gap between flat, non uniformly charged particles of rocks with a high surface potential
V. I. Fedodeev
58

MATHEMATICAL PHYSICS
Spectrum of the linearized problem of flow of a viscous incompressible liquid round a body
K. I. Babenko
64
On the lack of uniqueness in the electromagnetic field propagation velocity
Yu. A. Baurov, Yu. N. Babaev, V. K. Ablekov
68
On the Chapman–Enskog and Grad methods of the solution of Boltzmann equation
A. V. Bobylev
71
Wave field in the vicinity of boundary of a wide refractive waveguide
V. S. Buslaev
75
Gelfand–Levitan equation for the quantum nonlinear Schrödinger model with attraction
F. A. Smirnov
78

PHYSICS
Elm's fire and glow on objects in a cloud of electrically charged water drops
B. B. Voitsekhovskii
84
Phase diagram of the $\mathrm{Fe}$$\mathrm{B}$ system in melt
S. N. Konev, S. P. Dovgopol, P. V. Geld
88
Luminescence of biogenous porphyrins under selective resonance laser excitation
M. N. Sapozhnikov, V. I. Alekseev, N. A. Kirichenko, V. M. Shustryakov, V. K. Podymov, L. A. Piruzyan
90

CRYSTALLOGRAPHY
Crystal- and molecular structure of $5$-iso-propylthiobarbituric acid
A. A. Dvorkin, S. G. Soboleva, Yu. A. Simonov, S. A. Andronati, T. I. Malinovskii
99

Number 2

MATHEMATICS
Stability of smooth solutions of the two-phase Stefan problem
B. V. Bazalii
265
On a multi-dimensonal analogue of a theorem of Lindelöf
B. I. Zavialov, Yu. N. Drozhzhinov
269
On the decomposition of a plane domain into $d$-convex parts and its application
K. F. Prisakaru, P. S. Soltan
271
On symmetries of linearizable evolution systems of equations
A. V. Samokhin
274

MECHANICS
Frictional warming-up and the formation of a plastic and a liquid interlayers in the zone of solid body slipping contact
A. P. Amosov
280
Criterion of brittle fracture of materials with initial stresses
A. N. Guz
285
Strong velocity discontinuities in thermoplastic bodies
B. A. Druyanov, E. A. Svyatova
288
Convective mass and heat exchange of a reacting particle at low Peclet numbers
A. D. Polyanin
292

FLUID MECHANICS
Structure of viscous flow with closed streamlines
V. A. Vladimirov, V. F. Tarasov
297
On the modeling of the effects of negative generation of the temperature fluctuation intensity in a turbulent mixing layer
A. F. Kurbatskii, N. N. Yanenko
301

THEORY OF ELASTICITY
Asymptotically exact equations of thin plates on the basis of Cosserat's theory
V. A. Dudnikov, S. A. Nazarov
306

GEOPHYSICS
Earth's hydrogeodeformation field
G. S. Vartanyan, G. V. Kulikov
310
Thin structure of transition from the upper mantle to lower one
L. P. Vinnik, R. A. Avetisyan, L. I. Ratnikova
314
Earth's rotational shell
L. A. Vinogradov
318
Superlong-period oscillations of the Earth
E. M. Lin'kov, L. N. Petrova, N. G. Savina, T. B. Yanovskaya
321

PHYSICS
Regularities of critical phenomena of the synchronization at the propagation of signals in nonlinear media and systems
L. D. Bakhrakh, N. N. Evtikhiev, V. I. Kuz'min, A. I. Grakin
325
Effects of temperature, salts, and acids on the shape of Raman lines of water
A. Yu. Bekkiev, V. V. Fadeev
328
On the separation of gas mixtures in the sound wave field
A. M. Dykhne, A. F. Pal', V. D. Pis'mennyi, V. V. Pichugin, A. N. Starostin
331
Gas formation in silicate glasses under the high-intensity irradiation
N. P. Novikov, A. A. Bogdanov, B. K. Zuev, L. L. Kunin, G. V. Mikhailova, N. N. Novakova
335
Nonlinear laser fluorimetry of complex organic compounds
V. V. Fadeev, A. M. Chekalyuk, V. V. Chubarov
338

CRYSTALLOGRAPHY
Three-dimensional structure of ribonuclease $\mathrm{C}_2$ of Aspergillus clavatus at the $5\mathring{\mathrm{A}}$ resolution
K. M. Polyakov, G. N. Ticshenko, S. I. Bezborodova, B. K. Vaĭnshteĭn
342
Crystal structure of trifluoroacetate trinuclear complex of mixed-valency iron, $[\mathrm{Fe}_3\mathrm{O}(\mathrm{O}_2\mathrm{CCF}_3)_6(\mathrm{H}_2\mathrm{O})_3]\cdot3{,}5\mathrm{H}_2\mathrm{O}$
V. I. Ponomarev, O. S. Filipenko, L. O. Atovmyan, S. A. Bobkova, K. I. Turte
346
Probability characteristics of incomplete Patterson function with multiple fragments
B. B. Sedov
351

Number 3

MATHEMATICS
On reconstructing the shape of a body from its projections
V. P. Golubyatnikov
521
Forest superintuitionistic logics
Ya. M. Drugush
523
Solution of van Millís problem on the characterization of compacta, the superextensions of which are absolute retracts
A. V. Ivanov
526
Uniqueness, and an estimate of the stability of the solution of an internal problem for the heat equation
M. M. Lavrent'ev, B. K. Amonov
528
Simulation of random processes and fields on the basis of Palm point flows
G. A. Mikhailov
531
A generalization of the theory of conditionally optimal estimation and extrapolation
V. S. Pugachev
535
On a boundary value problem for an equation of mixed type with nonsmooth lines of degeneration
M. S. Salakhitdinov, A. K. Urinov
539
Some results on series in the Haar system
P. L. Ul'yanov
542
On a nonlinear problem with a constraint of evolution type
D. M. Fage
545
Solution of a mixed problem for the wave equation
V. P. Fedosov, N. N. Yanenko
549

CYBERNETICS AND THE REGULATION THEORY
Nonlinear information links
N. N. Evtikhiev, M. A. Savchenko
554

MECHANICS
A continuum theory of fracture upon compression of a composite material with an elastic-plastic matrix
A. N. Guz
556

FLUID MECHANICS
Intensification of the oscillations of disperse particles in bipolarly charged, two-phase, electrohydrodynamic streams
L. T. Chernyi, N. L. Vasil'eva
561

GEOPHYSICS
Some features of the Earth fluid dynamics
È. V. Borodzich, V. M. Korobeinik, E. E. Snezhkina, T. V. Sozinova, I. N. Yanitskii
565
Repacking wave in sands and acoustic emission
N. A. Vilchinskaya
568
On the dynamics of the POLYMODE area synaptic eddies
V. Kh. Enikeev, G. I. Kozubskaya, M. N. Koshlyakov, M. I. Yaremchuk
573
Modeling of optical characteristics of atmospheric aerosol in littoral zones
K. Ya. Kondrat'ev, N. I. Moskalenko, V. F. Terzi
577
The effect of solid Earth tides on the velocity of seismic waves
G. A. Popandopulo
580
Disentanglement of gravity anomalies at the measurements in motion
Yu. A. Tarakanov
583

MATHEMATICAL PHYSICS
Waves in the linear inhomogeneous medium concentrated in the vicinity of a given curve
S. A. Vakulenko, I. A. Molotkov
587
Differential formulation of the scattering problem for a $N$-body system
S. P. Merkur'ev, S. L. Yakovlev
591

PHYSICS
Unsteady motion of a two-phase mixture column under the action of suddenly applied pressure
A. A. Borisov, B. E. Gel'fand, E. I. Timofeev, S. A. Tsyganov
595
Superconductivity effect on the vacuum breakdown delay time
E. A. Litvinov, G. A. Mesyats, D. I. Proskurovskii, V. F. Puchkarev, S. I. Shkuratov
598
Broadening of nonlinear spectral resonances due to the interaction of ions via plasma waves
S. G. Rautian, G. I. Smirnov, D. A. Shapiro
600
The choice of components (superstructures) taking account of near order in the method of cluster components
K. Yu. Shunyaev, M. T. Varshavskii, A. N. Men', G. I. Chufarov
603
Heat transfer due to banana orbit drift in a magnetic field with ripple
P. N. Yushmanov
606

CRYSTALLOGRAPHY
On the crystal- and molecular structure of photochromic spiropyrane, $\mathrm{C}_{20}\mathrm{H}_{12}\mathrm{O}_3$
K. Sh. Karaev, N. G. Furmanova, N. V. Belov
609

Number 4

MATHEMATICS
On a bifurcation of codimension $1$ leading to the appearance of a countable set of tori
V. S. Afraimovich, L. P. Shilnikov
777
Inequalities for different metrics and dimensions in symmetric spaces, and imbeddings of generalized Besov spaces
M. Z. Berkolaiko, V. I. Ovchinnikov
781
On necessary conditions for uniform stabilization in all of $E^N$ of the solution of the Cauchy problem in a class of initial functions having power growth
V. N. Denisov
785
On Radon spaces
S. Yu. Zholkov
787
On the uniqueness of solutions of a linear boundary value problem for a second order elliptic-parabolic equation
L. I. Kamynin
791
Arithmetically consistent $\lambda$-theories
A. S. Kuzichev
795
On the sets of points of finite and infinite curvature of the graph of a convex function
A. B. Merkov
800
Parabolic pseudodifferential operators of variable order in Sobolev spaces with weighted norms
Nguyen Minh Chuong
804
On a symmetric connection in the space of an analytic Moufang loop
L. V. Sabinin, P. O. Mikheev
807
On boundary value problems for overdetermined systems of partial differential equations
S. N. Samborskii
810

CYBERNETICS AND THE REGULATION THEORY
Single-matrix joint aggregation of linear models
M. O. Vartanov
815
Optimal algorithms in algebraic closures of evaluating operators
V. L. Matrosov
818

FLUID MECHANICS
Determination of the positions of cavity separation from a body, taking into account viscosity and surface tension
È. L. Amromin, A. N. Ivanov
823

THEORY OF ELASTICITY
Nonrigidity of thin strictly convex shells with a fixed simply supported edge
L. S. Srubshchik
827

GEOPHYSICS
On the calculation of a seismic source with prescribed directivity of radiation
V. A. Babeshko, E. V. Glushkov, Zh. F. Zinchenko
831
Method and results of investigation of the geoelectrical structure of Garm region
V. I. Zhuravlev, A. Ya. Sidorin
834
Is the decrease in potassium content and $\mathrm{K}/\mathrm{Cl}$ ratio in Kuroshio a chance or a phenomenon?
V. N. Soifer, A. S. Bychkov, V. I. Il'ichev
838

MATHEMATICAL PHYSICS
Analysis of the statistical properties of periodic antenna arrays with local excitation by means of the Galerkin incomplete method
A. A. Bykov, A. S. Il'inskii
843
The spectrum structure of multidimensional Schrödinger operator with a periodic potential
M. M. Skriganov
847
Variational approach to the problem of the elastic contact of two plates
A. M. Khludnev
851

PHYSICS
Investigation of the liquid-crystal state appearing under the effect of surface forces
B. V. Deryagin, Yu. M. Popovskii, B. A. Altoiz
853
Nonlinear transport problems and the renormalization group
M. A. Mnatsakanyan
856
General relations of invariance for the investigation of transport and transfer problems in the media with physical and geometric characteristics of arbitrary complexity
O. V. Pikichyan
860
Fast particle energy distribution at great depths and the distribution according to the path length taking account of the “trajectory deflection” due to elastic collisions
V. S. Remizovich, D. B. Rogozkin, M. I. Ryazanov
864

CRYSTALLOGRAPHY
On crystal- and molecular structure of photochromic spiropyrane, $\mathrm{C}_{19}\mathrm{H}_{18}\mathrm{N}_2\mathrm{O}_3$
K. Sh. Karaev, N. G. Furmanova, N. V. Belov
877
On the crystal structure of sodium hydroxoytterbiate, $\mathrm{Na}_4\mathrm{Yb}(\mathrm{OH})_7\cdot n\mathrm{H}_2\mathrm{O}$
N. N. Nevsky, B. N. Ivanov-Emin, N. A. Nevskaya, N. V. Belov
880
On the location of atom $\mathrm{F}$ in the structure of $\mathrm{CaF}_2$$\mathrm{Gd}^{3+}$ solid solutions
M. V. Yakushev, G. Yu. Khropin, B. V. Shul'gin, V. V. Ilyukhin
883


A. S. Skal
776

Number 5

MATHEMATICS
The Hardy classes $H^p$ for $p<1$ and semi-inner functions in the ball
A. B. Aleksandrov
1033
On the existence of associated functions of a second-order operator
S. K. Bloshanskaya
1036
On a method of numerical solution on the first boundary-value problem in the plane for quasilinear elliptic equations
P. N. Vabishchevich, L. M. Degtyarev, V. V. Drozdov
1040
The first initial-boundary value problem for a hyperbolic equation with boundary function in $L_2$
V. M. Govorov
1044
$L_q$-estimates of functions in weighted spaces normed with the help of a given set of mixed derivatives
A. D. Dzhabrailov, R. Sh. Mamedov
1048
A truncated difference scheme for a linear singularly perturbed boundary-value problem
K. V. Emel'yanov
1052
Extension of the symmetry of evolution equations
O. V. Kaptsov
1056
On factoring mappings of products of topological spaces
B. S. Klebanov
1059
On a singular integral operator with a nonunivalent shift without wandering arcs
Yu. D. Latushkin
1064
On choosing a regularization parameter by means of the quasi-optimality and ratio criteria for ill-posed linear algebra problems with a perturbed operator
A. S. Leonov
1069
Sets of $1$-invariance and $1$-invariant subspaces (smooth functions)
N. G. Makarov
1072
Vector algorithms in the Monte-Carlo method for solving systems of second-order elliptic equations and Lame's equation
K. K. Sabelfeld
1076
A problem with initial values for generalized analytic functions depending on time (generalizations of the Cauchy–Kowalewski and Holmgren theorems)
V. Tuchke
1081

THEORY OF ELASTICITY
Toroidal shells. Stability and catastrophes
I. F. Obraztsov, A. S. Vol'mir
1086

GEOPHYSICS
Rossby wave soliton excitation by the internal gravitational waves
Z. L. Kobaladze, A. D. Pataraya, A. G. Hantadze
1089
Modeling of optical characteristics of stratospheric aerosol
K. Ya. Kondrat'ev, N. I. Moskalenko, V. F. Terzi
1092
Solution of direct gravimetric and magnetometric problems for homogeneous polyhedrons
V. N. Strakhov, M. I. Lapina
1095

MATHEMATICAL PHYSICS
On an approach to the solution of the Schrödinger equation
B. V. Alekseev, A. I. Abakumov
1100
Inverse periodic problem for the discrete approximation of the Schrödinger nonlinear equation
N. N. Bogolyubov (Jr.), A. K. Prikarpatskii
1103
On the calculation of dipole fields in conducting layered media
V. V. V'yurkov, Yu. A. Dreizin
1108
Comparison theorems for a class of pseudodifferential equations and their applications
R. V. Goldshtejn, E. I. Shifrin
1113

PHYSICS
Two-dimensional, weakly supercritical structures in the sublimation laser waves
S. I. Anisimov, S. M. Golberg, B. A. Malomed, M. I. Tribelsky
1117
Knocking-out of particles under electron and neutrino scattering by nuclei and the neutral weak currents
A. I. Akhiezer, M. P. Rekalo
1120
Polarization effects in diffraction radiation generator – free electron lasers
A. A. Vertii, V. P. Shestopalov
1124
Estimation of valine molecular structure effect on the tritium $\beta$-spectrum and the determination of neutrino mass
I. G. Kaplan, V. N. Smutnyi, G. V. Smelov
1127
On the non-diffusion mechanism of the magnetic field penetration into a conductor
A. S. Kingsep, L. I. Rudakov, K. V. Chukbar
1131
Temperature of the transition of equilibrium- and metastable lead-based solid solutions to the superconducting state
E. M. Savitskii, Yu. V. Efimov, E. A. Myasnikova
1135
Fine structure of absorption lines in crystals of $\mathrm{ZnP}_2$ of monoclinic modification
N. N. Syrbu, I. G. Stamov, S. I. Radautsan
1138

CRYSTALLOGRAPHY
Geometric theory of grain triple joints
V. N. Pereverzentsev, M. Yu. Shcherban, E. A. Soldatov, N. V. Belov
1143

Number 6

MATHEMATICS
Variational inequalities with discontinuous monotone mappings
Ya. I. Al'ber, I. P. Ryazantseva
1289
On periodic solutions of the problem of flow of a viscous fluid past a body
K. I. Babenko
1293
On a singular problem
E. A. Baderko
1298
An uncertainty principle and regularization of linear systems of algebraic equations
E. L. Zhukovskii, S. Yu. Pliskin
1301
Approximation in the mean of classes of differentiable functions by algebraic polynomials
V. A. Kofanov
1304
On an application of the generalized residual principle for the solution of ill-posed extremal problems
A. S. Leonov
1306
Decomposition of one differential operator according to its own functions, the principal part of which has multiple continuous spectrum
A. M. Magerramov
1311
Almost homogeneous random fields in a Banach space
A. I. Ponomarenko
1316
A numerical method of solving systems of nonlinear equations
N. N. Redkovskii
1319
Some questions in the axiomatic theory of convex sets
V. P. Soltan
1321
A study of the recursiveness and authenticity of signature functions in non standard models of the arithmetic
A. A. Tverskoi
1325
On the number of irredundant disjunctive normal forms
I. P. Chukhrov
1329
On some first order degenerate systems in domains with characteristic part of the boundary
V. P. Shatskii
1332

CYBERNETICS AND THE REGULATION THEORY
Calculating the information measure for continuous distributions in pattern recognition theory
B. I. Adasovskii
1336

GEOPHYSICS
Gravitating bodies of the Ramsay type
M. A. Grinfel'd
1339
On the probable mechanism of convective cloud radio-frequency radiation
V. I. Kalechits, I. E. Nakhutin, P. P. Poluèktov
1344
On the first-order phase transitions in nonlinearly elastic media
V. I. Kondaurov, L. V. Nikitin
1348
Periodic changes of gas concentrations in Dagestan thermal waters
S. S. Sardarov, S. S. Sardarov (jr.), A. B. Mantikov
1351

PHYSICS
Oscillations of the width of atomic cyclotron resonance lines
S. P. Andreev, V. A. Polunin
1354
On the theory of the erosion processes in the cathode region of arc discharge
I. I. Beilis
1356
On the possibility of the increase of vacuum spark micropinch region temperature
V. V. Vikhrev, V. V. Ivanov, K. N. Koshelev, Yu. V. Sidelnikov
1361
On the solution of a quantum-mechanical inverse problem for confining potentials
V. B. Gostev, V. S. Mineev, A. R. Frenkin
1364
New numerical calculation methods for the crystal electron structures in the pseudopotential theory
Yu. A. Pospelov, V. I. Melnikov, S. G. Novikov
1368

CRYSTALLOGRAPHY
Solubility and peculiarities of the yttrium-dumimum borate crystal growth
A. V. Azizov, N. I. Leonyuk, V. R. Rezvyi, T. I. Timchenko, N. V. Belov
1384


A. I. Pavlov
1288

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