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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)

Dokl. Akad. Nauk SSSR, Volume 314 (1990)

Number 1
MATHEMATICS
Difference schemes for problems in the theory of dispersive waves
G. M. Amiraliev
11
Locally analytic solvability of multidimensional functional equations in a neighborhood of a nonsingular point
G. R. Belitskii, V. A. Tkachenko
15
The Engel property of the multiplicative group of a group algebra
A. A. Bovdi, I. I. Khripta
18
Weak approximation in homogeneous spaces of algebraic groups
M. V. Borovoi
21
A condition for the unconditional basis property for systems of eigen- and associated functions of ordinary differential operators
V. D. Budaev
25
On a hyperbolic equation that describes wave processes in media with dispersion and absorption
V. V. Varlamov
28
On the axiomatization of realizable propositional formulas
F. L. Varpakhovskii
32
Weighted $L_p$ potential theory on homogeneous groups
S. K. Vodopyanov
37
On the stability of solutions of Volterra equations of the first kind of convolution type
B. A. Geidarov
42
A three-layer iterative method of Newton type
I. I. Golichev
45
Representations of finite groups over the ring of formal power series with integer $p$-adic coefficients
P. M. Gudivok, V. M. Oros, A. V. Roiter
49
Ergodic behavior of macro parameters
V. I. Zubov
52
Difference schemes for nonlinear Schrödinger type equations
F. F. Ivanauskas
55
The Riesz basis property for systems of root vector functions for a discontinuous Schrödinger operator with matrix potential
V. A. Il'in
59
An asymptotic method for constructing optimal controls with singular intervals
A. I. Kalinin
62
Conditions for the solvability of the Riemann boundary value problem on nonsmooth curves
B. A. Kats
67
Inversion of Lagrange's theorem on the stability of small oscillations of a capillary viscous fluid
N. D. Kopachevskii
71
An algebraic coefficient criterion for the exponential mean-square stability of solutions of linear stochastic stationary difference equations
D. G. Korenevskij
74
Small perturbations of singular differential equations with unbounded operator coefficients
S. G. Krein, V. I. Fomin
77
First-order conservative quasilinear laws with an infinite domain of dependence on the initial data
S. N. Kruzhkov, E. Yu. Panov
79
A variational method for determining the critical points of a functional and its application
I. A. Kuzin
85
On the theory of the method of the minimal pseudo-inverse matrix
A. S. Leonov
89
Nonselfadjoint $L$$A$-representation for some nonlinear nonlocal problems
K. V. Mal'kov
94
Extremal problems for operator-differential systems
V. S. Mel'nik
101
The Cauchy problem and boundary value problems for a class of systems of quasilinear hyperbolic equations
O. F. Men'shikh
105
Whitehead groups of algebraic groups of classical type, and $R$-equivalence
A. P. Monastyrnyi, V. I. Yanchevskii
110
Regular $G$-spaces of H. Busemann
A. V. Pogorelov
114
Asymptotic expansions of solutions of parabolic boundary value problems with a free boundary
E. V. Radkevich
118
Dual systems of integer-valued vectors and their applications
S. S. Ryshkov, R. M. Erdahl
123
A Bellman-Harris branching process that starts with a large number of particles
S. M. Sagitov
128
On methods for solving game-theoretic problems of the control of pencils of trajectories
N. Yu. Satimov
132
Duality of nonconvex extremal problems
V. N. Solov'ev
135
On the continuity of $p$-capacity
Yu. F. Strugov
138
Some estimates for the mean curvature of graphs over domains in $\mathbf{R}^n$
V. G. Tkachev
140
Sums of multiplicative functions
S. T. Tulyaganov
143
Functional-differential inclusions on closed subsets
I. A. Finogenko
147
Regular perturbations in optimal control problems with variable delays and free right end
G. L. Kharatishvili, T. A. Tadumadze
151
Group classification of systems of first-order linear differential equations with two unknown functions in two variables
Yu. A. Chirkunov
155
An associative algebra of distributions and multipliers
V. M. Shelkovich
159
Chebyshev approximation by generalized rational fractions in a space of $\mathfrak{N}$-bounded real-valued functions
G. Ya. Yarakhmedov
164

MATHEMATICAL PHYSICS
An analogue of the Frankl's problem for a three-dimensional equation of mixed type
D. Bazarov
169
On the theory of mixed problems in the dynamics of wedge-shaped composites
V. N. Berkovich
172
On the dynamic structure of the charge screening radius
A. S. Vshivtsev, V. Ch. Zhukovskii, B. V. Magnitsky
175
Computer solution of one class of problems of defectoscopy
S. M. Zerkal'
180
The equation of state for a lattice gas
I. D. Protasov
183
Self-assembly processes with volumetric interactions
M. L. Tai
189

Number 2

MATHEMATICS
Bifurcation of extremals of variational problems
N. A. Bobylev, M. A. Krasnosel'skii
265
Verma modules over the quantum Lie algebra of currents on the circle
N. N. Bogolyubov, I. V. Mykytyuk, A. K. Prikarpatskii
268
The resolvent matrix of a Hermitian operator and the moment problem with gaps
V. A. Derkach, M. M. Malamud
273
Asymptotic integration of linear systems of differential equations in the case of a quasi-Jordan normal form of the principal matrix of coefficients
V. M. Evtukhov
279
Finite-dimensional characterization of probability distributions
V. I. Zubov
283
The isomorphism realized by fractional integrals in generalized Hölder classes
N. K. Karapetyants, Kh. M. Murdaev, A. Ya. Yakubov
288
Irreversible evolution systems: guaranteed estimation and regularization problems
A. B. Kurzhanskii, I. F. Sivergina
292
Submanifolds of a Euclidean space with a completely geodesic Grassmannian image
Yu. A. Nikolaevskii
297
Inversion of some integral equations of Volterra type
K. B. Sabitov
300
The conjugate Darboux problem
M. A. Sadybekov
304
A numerical algorithm for the extrapolation of Wiener class functions
A. M. Fedotov
306
Topological properties of subsets, and linear-topological properties of Banach spaces
V. P. Fonf
309

MECHANICS
The characteristic form of equations in the dynamics of anisotropic elastoviscoplastic media
G. G. Bulychev
312
Stability of unstable states, bifurcations, chaos of nonlinear dynamical systems
V. G. Shironosov
316

GEOPHYSICS
Degassing of the Earth and the evolution of atmosphere
O. G. Sorokhtin
321

MATHEMATICAL PHYSICS
An approximate study of symmetric localized structures
S. P. Kurdyumov, G. G. Malinetskii, A. B. Potapov
327

PHYSICS
Multistability in oscillation systems with period doubling and unidirectional coupling
B. P. Bezruchko, Yu. V. Gulyaev, O. B. Pudovochkin, Y. P. Seleznev
332
Millimeter wave magnetic resonance in metal glasses
A. A. Vertii, A. V. Golik, A. P. Korolyuk, S. I. Tarapov, V. P. Shestopalov
337
Possible interpretation of cold fusion experiments
A. S. Davydov
339
Gaussian fluctuations and Onsager relations for a multicomponent mixture
O. Yu. Dinariev, I. A. Leont'ev
342
E.m. waves in a layer of black body
V. I. Il'ichev, I. B. Bessonov, B. I. Bessonov, S. V. Butsuk, T. Yu. Kovaleva, L. I. Menshutkina
345
Study of filtration flow critical regimes on rock samples
A. P. Kurshin
348
On the remote action of stars on resistor
M. M. Lavrent'ev, I. A. Eganova, M. K. Lutset, S. F. Fominykh
352
Coherent mechanism of sound amplification under condensation of vapor
B. E. Nemtsov
355
Recombination injection of $\mathrm{H}_3\mathrm{O}$ and $\mathrm{OH}^-$ charge carriers under electrolysis of water
V. F. Petrenko, V. A. Chesnakov
359
Peculiarities of physical properties of high defect density micro regions in wide-band single crystals
V. I. Trefilov, È. A. Chernina, M. D. Glinchuk, L. A. Litvinov, V. I. Berzhatyi
362

Number 3

MATHEMATICS
Motion of a nonlinear viscoelastic fluid
Yu. Ya. Agranovich, P. E. Sobolevskii
521
Functional limit theorems for semimartingales in a polyhedron and their applications to queueing networks
S. V. Anulova
526
Asymptotic behavior of solutions of a nonlinear diffusion-absorption equation with a critical exponent
Kh. L. Vaskes, V. A. Galaktionov
530
Maximal functions in the classes $\varphi(L)$
A. S. Gogatishvili, V. M. Kokilashvili, M. Krbec
534
On the well-posedness of mixed problems for almost linear hyperbolic systems with two independent variables in the class of discontinuous solutions
V. N. Gol'dberg
537
A saddle point in pure strategies
V. A. Gurvich
542
$U$-statistics with increasing powers
V. S. Korolyuk, Yu. V. Borovskikh
547
Solvability of linear operator-differential equations in Roumieu scales constructed with respect to a given linear unbounded operator
V. I. Nazarov
551
Traces of entire functions of exponential type on manifolds
S. M. Nikol'skii
555
On classes of positivity of elliptic operators in $\mathbf{R}^N$ with a supercritical nonlinearity index
S. I. Pokhozhaev
558
A multidimensional singular integral operator in spaces defined by conditions on mean oscillation of functions
R. M. Rzaev
562
Smooth hyporeductive loops
L. V. Sabinin
565
Distribution of values and representations of generalized subharmonic functions
A. I. Kheifits
568

CYBERNETICS AND THE REGULATION THEORY
A model and a method for solving an extremal allocation problem in the design of high-speed computers
T. B. Bigil'deeva, T. V. Ganzha, A. A. Tret'yakov, A. S. Yaitskov
573

GEOPHYSICS
Specific features of magnetoactive layer and the local sea-floor spreading instability of the Mid-Atlantic Ridge between 23 and 26 N
S. V. Aptonov, È. A. Popov
576
Reconstruction of time series in solar-terrestrial physics
T. L. Gulyaeva, R. A. Gulyaev
581
On the regularities of gravitational compaction of porous rocks
V. E. Karachinsky
583

MATHEMATICAL PHYSICS
The method of integral equations in boundary value problems with a commutative symmetry group of finite order
E. V. Zakharov, S. I. Safronov, R. P. Tarasov
589

PHYSICS
Heat dynamics of the near-cathode layer of electroionization discharge
N. G. Basov, È. M. Belenov, V. D. Matsuk, V. I. Panteleev, E. O. Yatsenko, A. A. Isaev
594
On the charge dependence of the profile of autoionization resonances excited by protons and antiprotons
A. L. Godunov, N. V. Novikov, V. S. Senashenko
595
Excitation and emission of diatomic molecules in resonance biharmonic field
A. V. Enshin, S. D. Tvorogov
600
Hysteresis in ensembles of dipole-interacting particles without intrinsic anisotropy
S. V. Meshkov, D. V. Berkov
604
On the thermodynamics of metal-superconductor phase transitions
N. N. Sirota
609
Morphology of mirror-prism systems
V. B. Yakovlev
613

CRYSTALLOGRAPHY
Localization of hydrogen atoms in hydrosodalite by NMR method
V. A. Detinich, V. Yu. Galitskii, B. N. Grechushnikov
625
Quasiperiodic growth of germanium-containing $\alpha$-quartz from fluoride solutions
R. M. Mazitov, A. N. Chuvyrov, V. S. Balitskii
628

Number 4

MATHEMATICS
Norm-attaining operators, and the geometry of the unit sphere of a Banach space
B. V. Godun, S. L. Troyanski
777
Integral equations for the Lyapunov function
V. I. Zubov
780
Irreducible orthogonal decompositions of simple Lie algebras of type $A_n$
A. I. Kostrikin, Pham Huu Tiep
782
Approximation on a manifold by traces of functions of exponential type
S. M. Nikol'skii
786
Solution of a problem of H. Busemann
A. V. Pogorelov
790
Properties of functions in Gevrey classes
P. L. Ul'yanov
793

CYBERNETICS AND THE REGULATION THEORY
Solution of problems of the control of time-dependent automatic control systems by the diagonalization of the matrix of the linear part of a system of equations of motion
K. A. Abgaryan
798
Decomposition of the control of a dynamical system
F. L. Chernous'ko
801

MECHANICS
Local instability of fibrous composites
A. N. Guz
806
Aggregate models in the mechanics of systems of solid bodies
V. A. Konoplev
809
Formulations of the problem of continuous growth of elastic bodies
I. F. Obraztsov, V. N. Paimushin, I. N. Sidorov
813

THEORY OF ELASTICITY
On the numerical analysis of three-dimensional problems of compression waves flow about an obstacle or a slot in elastoplastic half-space
I. B. Petrov, I. G. Tormasov
817

GEOPHYSICS
Nonlinear generation of second harmonic by long wave on shelf
S. A. Arsen'ev, L. N. Rykunov, N. K. Shelkovnikov
821
Cosmic ray flare on 29 September 1989 from the data of the Yakutsk complex detector
G. F. Krymsky, A. I. Kuzmin, P. A. Krivoshapkin, S. A. Starodubtsev, I. A. Transkii, A. T. Filippov
824
Numerical modelling of the near-ground source electrical field in the ionosphere
G. L. Rybnikov, V. A. Morgunov, Yu. G. Khabazin
826
On the mechanism of the technogeneous earthquake in Khibiny
N. M. Syrnikov, V. M. Tryapitsyn
830
Results of thermometrical investigations under vibrator baseplate
L. L. Khudzinskii
834

MATHEMATICAL PHYSICS
Nonlinear Volterra integral equations of the first kind with an integrable singularity
V. I. Gryn'
838
Scattering of scalar fields by statistically rough surfaces
S. Z. Dunin, G. A. Maksimov
841

PHYSICS
Transformation of the explosion energy into microwave radiation
A. Ya. Brodskii, V. A. Vdovin, A. V. Korzhenevskii, A. S. Kravchenko, A. I. Pavlovskiĭ, V. D. Selemir, S. A. Sokolov, V. A. Cherepenin, Z. S. Chernov
846
Multichromatic glasses: a new material for recording of volumetric phase holograms
L. B. Glebov, N. V. Nikonorov, E. I. Panysheva, G. T. Petrovskiĭ, V. V. Savvin, I. V. Tunimanova, V. A. Tsekhomskii
849
On the nature of microwave absorption in high-$\mathrm{T}_{\mathrm{c}}$ superconductors in weak magnetic fields
G. T. Petrovskiĭ, N. V. Starostin
854
Elastic moduli of beryllium oxide at $10$$720$ K, from the X-ray data
N. N. Sirota, A. M. Kuzmina, N. S. Orlova
856

CRYSTALLOGRAPHY
Structure of the diamond-like phase of carbon obtained by detonation synthesis
A. L. Vereshchagin, G. V. Sakovich, P. M. Bryliakov, I. I. Zolotuhina, L. A. Petrova, N. N. Novoselov
866

Number 5

MATHEMATICS
Multipliers of entire functions of finite order
V. S. Azarin, V. B. Giner
1033
Asymptotic behavior of the Green function of parabolic equations and complex power kernels of the elliptic operator resolvent
K. Kh. Boimatov
1036
Determination of the number of connected components of a semi-algebraic set in subexponential time
N. N. Vorobjov (Jr.), D. Yu. Grigor'ev
1040
Hyperfinite approximations of locally compact abelian groups
E. I. Gordon
1044
Spaces of almost periodic functions of infinite order and theorems on the solvability of nonlinear equations
L. N. Groshev
1048
On an identity in harmonic analysis and its applications
Ilgar Shikar Jabbarov (Dzhabbarov)
1052
A class of two-dimensional singular integral operators
G. Dzhangibekov
1055
Maximally hypoelliptic operators with a noninvolutive characteristic set
Yu. V. Egorov, Nguen Min' Chi
1059
Conditional well-posedness of problems with an unknown boundary of the domain
A. D. Iskanderov
1062
Globally minimal homogeneous spaces in regular orbits of the adjoint representation of classical Lie groups
Lê Hông Vân
1065
Characterization of universally regular operators and operators with regular commutators
B. M. Makarov
1069
Structure of hyperbolic equations with variable coefficients that satisfy the Huygens principle
A. H. Hovhannisyan
1072
Some nonstationary inverse problems of hydrodynamics with final observation
A. I. Prilepko, I. A. Vasin
1075
Operator pencils and almost periodicity of bounded solutions of second-order differential equations
M. B. Ragimov
1079
On the defect of valued skew-fields
I. L. Tomchin, V. I. Yanchevskii
1082
Asymptotic effectiveness and extensions in a class of finitely additive measures
A. G. Chentsov
1085

GEOPHYSICS
Micro convection of the scale of tens of kilometers near the junction of the Mid-Oceanic Ridge with fracture zone
S. V. Gavrilov, A. N. Boyko, A. M. Diaman
1088
On the anomalies of conductivity of the Earth's underlying surface in high-latitude zone
V. N. Zakharenko, L. N. Popov, M. V. Kabanov, I. A. Vyltsan, V. M. Sidekhmenova
1092
On the compliance of the Kamchatka-Komandorsky earthquake centers to the double-dipole model
V. M. Zobin
1095
Anomalous variations of the level of underground waters in seismoactive region
I. G. Kissin, V. M. Belikov, G. A. Ishankuliev
1099
Generalized fractal law of seismicity
T. L. Chelidze
1104

MATHEMATICAL PHYSICS
Mathematical problems in the theory of a one-dimensional isothermic flow of gas with cavities
É. B. Bykhovskii
1106

PHYSICS
Fluorescence polarization and the structure of Van der Waals complexes of large polyatomic molecules
N. A. Borisevich, V. V. Gavrilyuk, V. A. Povedailo, V. A. Tolkachev
1111
On the thermodynamics and kinetics of multisublattice spin systems
M. Yu. Kovalevsky, S. V. Peletminskii, A. N. Tarasov, A. L. Shishkin
1115
Beam-plasma discharge stimulated by electrostatic barriers
I. N. Meshkov, S. S. Nagaitsev, E. M. Syresin
1119
Peculiarities of interatomic interaction in the $\mathrm{Al}$$\mathrm{Li}$ system alloys and the anomalous behavior of elastic moduli of $\mathrm{Al}$$\mathrm{Li}$ alloys
A. V. Ruban, P. A. Korzhavyy
1121
Form factors and rms displacements of ions in beryllium oxide at $10$$720$ 
N. N. Sirota, A. M. Kuzmina
1125

Number 6

MATHEMATICS
Uniqueness of the solution of the Cauchy problem for an ultrahyperbolic equation
R. Kh. Amirov
1289
On the theory of quadratic mappings in Banach spaces
A. V. Arutyunov
1290
On the correctness of difference schemes with generalized input data
N. Yu. Bakaev
1293
Stability of solutions of differential and difference equations in critical cases
I. V. Boykov
1298
Borel parametrization of Polish groups, and Lie groups
V. Ya. Golodets, I. V. Voevoda
1300
Ramanujam surfaces and exotic algebraic structures on $\mathbf{C}^n$, $n\ge3$
M. G. Zaidenberg
1303
The Riccati equation in the theory of equations of mixed type
N. Yu. Kapustin, K. B. Sabitov
1307
Multiplicative complexity of bilinear forms for which the Vandermonde transform is an eigentransformation
A. M. Krot
1312
Calculation of schemes by the algorithms “rudder” and “ladder”
I. F. Obraztsov, A. D. Gvishiani, V. A. Gurvich
1316
The spectrum of the pencil of a two-phase Stefan problem
E. V. Radkevich
1322
The congruence subgroup problem for arithmetic groups of bounded generation
A. S. Rapinchuk
1327
Subharmonic functions of completely regular growth in a closed cone
L. I. Ronkin
1331
Homotopy properties of the space of trajectories of a completely nonholonomic differential system
A. V. Sarychev
1336
The Orlicz property of symmetric spaces
E. M. Semenov, A. M. Shteinberg
1341
Regularity of weak solutions of variational problems in plasticity theory
G. A. Seregin
1344
Characters of a minimal $p$-defect in finite groups
S. P. Strunkov
1349
The Cauchy problem in a Banach space for an analogue of a diffusion equation that is not solved with respect to the time derivative
Kh. G. Umarov
1352

GEOPHYSICS
On electromagnetic emission under dynamic processes in ice
V. V. Bogorodsky, A. V. Gusev, V. A. Nikitin, M. B. Yartsev
1357
Interrelation of frequency characteristics of lake currents with parameters of the source of their perturbations
G. M. Degtyarev, L. G. Kolotilo, O. A. Lyubchenko
1361
Influx of space dust organic particles into the atmosphere
V. N. Lebedinets
1363
Joint interpretation method of the data of gravimetric and seismic measurements
V. P. Myasnikov, V. A. Lyakhovskii
1366
Causes of the aseismicity of Antarctica
M. A. Sadovskii, Yu. N. Avsyuk
1369

MATHEMATICAL PHYSICS
Nonlocal radiation conditions for a nonstationary system of Maxwell equations
A. R. Maikov, A. G. Sveshnikov, S. A. Yakunin
1375
Representation of second quantization over non-Archimedean number fields
A. Yu. Khrennikov
1380

PHYSICS
Effect of turbulent after-combustion of the products of chemical explosive on gas-dynamical processes in closed chambers
V. A. Andronov, S. M. Bakhrakh, V. A. Mazanov, V. V. Nikiforov, A. V. Pevnitskii, V. P. Solov'ev, A. P. Tolochko
1385
Study of spectral characteristics of ammonia irradiated at $90$ K
A. A. Vertii, I. V. Ivanchenko, N. A. Popenko, S. I. Tarapov, V. P. Shestopalov, A. A. Belyaev, V. A. Get'man, A. P. Dzyubak, I. M. Karnaukhov, A. A. Lukhanin, P. V. Sorokin, E. A. Sporov, I. A. Tolmachev
1389
Hysteresis and bifurcations of a laser with inhomogeneous broadening
K. V. Vladimirskii, A. A. Norvaishas
1392
Morse critical points of dispersion equations
V. P. Shestopalov
1396

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