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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)

 Dokl. Akad. Nauk SSSR, Volume 315 (1990)

 Dokl. Akad. Nauk SSSR, Volume 316 (1991)

 Dokl. Akad. Nauk SSSR, Volume 317 (1991)

 Dokl. Akad. Nauk SSSR, Volume 318 (1991)

Dokl. Akad. Nauk SSSR, Volume 319 (1991)

Number 1
MATHEMATICS
Limit theorems for random polynomial forms
A. Basalikas
11
An effective iterative method for the solution of Lamé equations for almost incompressible media and of Stokes equations
N. S. Bakhvalov, A. V. Knyazev
13
The Lyusternik–Shnirel'man theory for transversally convex subsets of Hilbert manifolds and its application in optimal control theory
S. A. Vakhrameev
18
On the solvability of a class of functional-differential equations on the semi-axis and some spectral problems
V. V. Vlasov
22
Quasiconvex analysis on semilattices and absolutely defined matrices
V. A. Gurvich, L. O. Libkin
27
Formulation of three-dimensional elliptic boundary value problems for systems
A. Dzhuraev
33
Exactly uniformly correct solvability of the Cauchy problem
V. A. Kostin
38
A sharp estimate for the boundary behavior of functions in the Hardy–Sobolev classes $H^p_\alpha(B^n)$ in the critical case $\alpha p=n$
V. G. Krotov
42
Some singular partial differential equations
L. G. Mikhailov
46
Approximation, on a manifold, of functions of Besov class by entire functions of exponential type
S. M. Nikol'skii
53
A syntactical description of filtering formulas
A. I. Omarov
58
The classical regularized trace formula for eigenvalues of the Laplace-Beltrami operator with potential on the sphere $S^2$
V. A. Sadovnichii, V. V. Dubrovskiy
61
On the theory of time-inhomogeneous evolution equations with impulse actions
A. M. Samoilenko, M. Ilolov
63
Regularity of a boundary point for a quasilinear parabolic equation
I. V. Skrypnik
68
A class of noncentered fifth-order compact difference schemes based on Padé approximations
A. I. Tolstykh
72
A reduction theorem for invariant lattices of type $A_n$
Pham Huu Tiep
78
The problem of closure of the chains of moment equations corresponding to the three-dimensional Navier–Stokes system in the case of large Reynolds numbers
A. V. Fursikov
83

CYBERNETICS AND THE REGULATION THEORY
Some properties of trajectories of dynamical systems
S. M. Dzyuba
88
A method for stabilizing discrete objects with compact uncertainty
S. V. Emel'yanov, P. V. Zhivoglyadov, S. K. Korovin
91
The direct Lyapunov method and the control of dynamical systems on smooth orientable manifolds
G. A. Stepanyantz
98
An extended universe for systems with minimal structures
V. F. Yakovlev
103

MECHANICS
Trapezoidal profiles of a string striking a vibrating wall
V. Krupenin
106
Continual approximation for high-frequency oscillations of a chain, and composite equations
I. F. Obraztsov, I. V. Andrianov, B. V. Nerubailo
111

AERODYNAMICS
Application of the method of “generated splines” for solving equations of turbulent heat and water exchange in plant cover
Yu. A. Pykh, D. A. Levin
113

FLUID MECHANICS
Predominantly-unidirectional motion of gas bubble in vibrating liquid
V. L. Sennitskii
117

GEOPHYSICS
Monotype plane nonlinear seismic waves
V. V. Gur'yanov
120
Laminarization of cores of atmospheric turbulent vortices
D. Sh. Iskanderov, V. N. Nikolaevskii
124
Scattering coefficient of scalar field reflected from rough surface
G. A. Maksimov, S. Z. Dunin, A. L. Gavrilov
129
Regularities of the dynamics of foreshock-aftershock earthquake sequences near the Southern Kuril Islands
A. I. Malyshev, I. N. Tikhonov
134
On the problem of short-term forecast of earthquakes
V. A. Morgunov
138
Algebraic methods in linear problems of gravimetry and magnetometry. Basic ideas
V. N. Strakhov
143

MATHEMATICAL PHYSICS
The Fredholm property of the problem of diffraction by a flat bounded ideally conducting screen
Yu. G. Smirnov
147

PHYSICS
On the mass of particle-like excitations in a fluid
S. T. Belyaev, Yu. K. Krasnov
150
Exact linearized collision integral for plasma
V. B. Bobrov, S. A. Triger
154
Analytic solution of the Hartree equation for the ground state of a helium atom
E. P. Vol'skii
158
Exchange theory of electron pairing in solids
A. V. Kulakov, E. V. Orlenko, A. A. Rumyantsev
161
On the choice of the minimization functional in the partial wave analysis
S. A. Sadovskiĭ
165

Number 2

MATHEMATICS
A multidimensional inverse problem for a hyperbolic equation and a related spectral problem
R. Kh. Amirov
265
Extension and embedding theorems for Sobolev spaces of infinite order
G. S. Balashova
267
A generalized scheme of constructing randomized methods for solving integral equations
Yu. V. Bulavskii
271
The traces of functions in a Sobolev space defined in a plane domain with a non-Lipschitzian boundary
M. Yu. Vasil'chik
275
On the completeness of the system of generalized eigenfunctions of an operator generated by the first boundary value problem for the S. L. Sobolev equation
A. A. Lyashenko
278
The trigonometric Taylor formula, a trigonometric analogue of Sobolev classes, and trigonometric splines
Nguyen Thi Thien Hoa
283
Some applications of Chebyshev's recursion
I. E. Ovcharenko
287
A classical problem of the calculus of variations
M. A. Sychev
292

CYBERNETICS AND THE REGULATION THEORY
Adaptive algorithms for stabilizing the steady states and programmed trajectories of the motion of multidimensional systems
P. D. Krut'ko
296
The topological structure of a set of observable polynomial systems
K. E. Starkov
300

MECHANICS
Stability of oscillations of a mathematical pendulum on a moving frame at upper and lower points of the trajectory
K. N. Shevchenko
304

GEOPHYSICS
Determination of effective physical characteristics of anisotropic geomaterials from the data of texture analysis
K. Walter, T. I. Ivankina, A. N. Nikitin, W. Woitus, T. D. Shermergor, V. B. Yakovlev
310
Seismic monitoring in oil field
A. G. Gamburtsev, N. G. Gamburtseva, S. V. Kursin, A. V. Nikolaev, G. A. Panteleeva, V. S. Solov'ev, S. P. Starodubrovskaya
315
Numerical modelling of climatic consequences of catastrophic volcano eruptions
A. V. Ganopol'skii, A. A. Mochalov
319
Explosion of droplets upon freezing in strong electrical fields
N. A. Dubrovich, T. A. Pershina
322
Physico-chemical aspects of atmospheric electricity
N. N. Krasikov
325
On electromechanical links between ionosphere and lithosphere of the Earth
S. M. Krylov, V. T. Levshenko, O. S. Belyakov
328
On the initiation of earthquakes by underground nuclear explosions
A. V. Nikolaev, G. M. Vereshchagina
333
Effect of oscillation triggering in modelling of earthquake
G. A. Sobolev, A. V. Koltsov, V. O. Andreev
337
Algebraic methods in linear problems of gravimetry and magnetometry. Formulations of extremal problems
V. N. Strakhov
342

MATHEMATICAL PHYSICS
Utilization of atome functions in digital differentiator synthesis
A. S. Gorshkov, V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev
347

PHYSICS
Generation of pulsed microwave radiation using energy of chemical explosives
E. I. Azarkevich, A. N. Didenko, P. V. Dolgopolov, A. G. Zherlitsyn, V. P. Isakov, A. A. Leont'ev, M. V. Lopatin, V. B. Mintsev, A. E. Ushnurtsev, G. P. Fomenko, V. E. Fortov, V. I. Tsvetkov, V. B. Shneider, B. K. Yaselskii
352
Material conditions for the relativistic fluid with nonlocality
O. Yu. Dinariev
356


E. S. Makarov
264

Number 3

MATHEMATICS
An inverse problem for the wave equation
A. Kh. Amirov, R. T. Pashaev
521
A multigrid method for the numerical solution of variational inequalities
V. G. Belsky
523
Quasiclassical integral equations
A. M. Budylin, V. S. Buslaev
527
Integral geometry with a matrix weight and a nonlinear problem of the reconstruction of matrices
L. B. Vertgeim
531
On the matrix $F=\{1/[f_if_j(f_i+f_j)]\}$
M. L. Gerver
535
A componentwise localization principle and componentwise equiconvergence with a trigonometric series for expansions in root vectors of the Schrödinger operator with a matrix potential
V. A. Il'in
539
Distribution of values of Dirichlet characters on additive sequences
A. A. Karatsuba
543
On the variational method for constructing adaptive grids on $n$-dimensional surfaces
V. D. Liseikin
546
Differential inequalities: embedding theorems and approximation problems
V. A. Malyshev
550
A new direction in the method of matrix Lyapunov functions
A. A. Martynyuk
554
Description of indefinite measures on $W^\ast J$-factors
M. S. Matveichuk
558
The Stieltjes $B$-integral and the summation of spectral decompositions of some classes of contraction operators
A. V. Rybkin
562
On the denseness of Lizorkin-type spaces $\Phi_V$ in the spaces $L_{\overline p}(R^n)$ with mixed norm
S. G. Samko
567
Continuous solutions of the Carleman–Vekua equation with a singular point
A. Tungatarov
570
Local finiteness of Mal'tsev algebras
V. T. Filippov
574

CYBERNETICS AND THE REGULATION THEORY
Robust stability of linear systems
Yu. I. Neimark
578
Assignments with a given order of succession
S. B. Fleishman
581

MECHANICS
Asymptotic relations, fracture acceleration, and subcritical fracture growth under creep
A. M. Lin'kov
585

GEOPHYSICS
Oscillatory instability as a consequence of a random distribution of density
B. M. Naimark, A. T. Ismail-zade
590
Content of metals in snow cover of 1988 Spitak earthquake epicentral zone
A. A. Nikonov, V. A. Alekseev
596
Processing of geophysical information under multiplicative-additive noise
V. N. Strakhov
599

MATHEMATICAL PHYSICS
Asymptotics of the fundamental solution of the equation of internal waves as $t\to\infty$ and the quasifront phenomenon
Yu. D. Pletner
604

Number 4

MATHEMATICS
Necessary and sufficient condition for the reconstruction of functions from their coefficients in the root expansion of a nonlocal Sturm–Liouville operator
N. S. Bojinov
777
Asymptotic distribution of the eigenvalues of nonlinear pencils of pseudodifferential operators
K. Kh. Boimatov
781
A method in the theory of the reducibility of polynomials over finite fields
R. R. Varshamov
787
Logarithm of the solution of a linear differential equation, the Hausdorff formula and conservation laws
V. A. Vinokurov
792
On estimates for normalized eigenfunctions of the Sturm–Liouville operator with nonsmooth coefficients
M. M. Gekhtman (jr.)
798
Nontrivial expansion of zero and representative systems of the eigenvectors of a linear operator
V. P. Gromov
801
$\mathscr{B}$- and $\mathscr{L}$-classes of harmonic and holomorphic functions in the disc, and classes of boundary values
V. S. Guliev, P. I. Lizorkin
806
Noethericity conditions and the index of some two-dimensional singular integral operators
G. Dzhangibekov
811
Optimal trajectories in a model with discrete innovations
A. Ya. Zaslavskii
816
Operators of a problem on forced oscillations in systems with hysteresis
M. A. Krasnosel'skii, A. V. Pokrovskii
819
Traces of functions from weighted classes on manifolds and converse embedding theorems
Yu. D. Salmanov
823
On the theory of the generalized Cauchy–Riemann system in two complex variables
M. Shirinbekov
827
Integration of mappings with values in regular $K$-spaces
V. I. Shcherbin
832

MECHANICS
Three-dimensional, axially nonsymmetric problem of the breakup of a half- space containing a round surface crack
A. N. Guz, V. M. Nazarenko, V. L. Bogdanov
835

THEORY OF ELASTICITY
Cracks with a fractal surface
R. V. Goldshtejn, A. B. Mosolov
840

GEOPHYSICS
Solution of linear problems of geophysics under multiplicative-additive noise
V. N. Strakhov
845

MATHEMATICAL PHYSICS
Joint reconstruction of the absorption coefficient and the source function for the stationary radiation transport equation in $R^3$
V. I. Gryn'
849
On the exact value of the radius of convergence of the Wilcox series
A. G. Kyurkchan
854

PHYSICS
Investigation of strong electric field phenomena in dielectric spectroscopy of polymeric semiconductor
N. V. Afanas'ev, L. V. Mukhaeva, M. G. Voronkov, T. I. Vakul'skaya, V. A. Lopyrev
858
Oscillatory dynamic instability of unidirectional solidification of a binary melt
Yu. A. Buevich, V. V. Mansurov
862
Equations of the electromagnetic field of “black” bodies
V. I. Il'ichev, I. B. Bessonov, B. I. Bessonov, L. I. Menshutkina, N. E. Khorosheva
866
New stimulated-emission potential of praseodymium crystalline lasers
A. A. Kaminskii
870

CRYSTALLOGRAPHY
Crystal structure of bystrite
E. A. Pobedimskaya, L. E. Terenteva, A. N. Sapozhnikov, A. A. Kashayev, G. I. Dorokhova
873
Tridymite-like framework in the crystal structure of a new natural $\mathrm{Na}$-borosilicate
E. V. Sokolova, A. P. Khomyakov
879

Number 5

MATHEMATICS
Properties of monotone limits of Banach spaces
A. N. Agadzhanov
1033
Asymptotic solution of a class of dual equations for large values of the parameter
S. M. Aizikovich
1037
Sufficient conditions for the basis property, convergence and summability of the root expansion of a nonlocal Sturm–Liouville problem
N. S. Bojinov
1042
Multiparametric spectral asymptotics for elliptic pseudodifferential operators on compact manifolds
K. Kh. Boimatov
1048
A connection between the nonvariability of solutions and ill-posed boundary value problems for fourth-order equations of elliptic type
M. K. Bugir
1053
Change of variables and multiplication of generalized functions
V. A. Vinokurov
1057
On the limit behavior of a bounded solution of a system of first-order evolution quasilinear partial differential equations under an unbounded time increase
N. B. Konyukhova
1065
Universal classes of uniqueness of domains in an inverse problem of Newtonian potential theory
N. S. Nadirashvili
1072
Weighted inequalities for a class of integral operators
R. Oinarov
1076
The BMO-property of partial sums of a Fourier series
V. A. Rodin
1079
Deborah's number and a class of semilinear equations of Sobolev type
G. A. Sviridyuk, T. A. Bokareva
1082
Differential equations with a Fredholm operator in the main differential expression
N. A. Sidorov, E. B. Blagodatskaya
1087

CYBERNETICS AND THE REGULATION THEORY
Approximation of preference relations on a set of dynamical systems
P. S. Krasnoshchekov, A. G. Perevozchikov, V. V. Fedorov
1091

MECHANICS
Estimates of transport coefficients for gases with rotational degrees of freedom
A. V. Bogdanov, N. R. Zainalov
1095

GEOPHYSICS
Elastic properties of fractals, the transverse deformation effect, and the dynamics of free fracture of solids
A. S. Balankin
1098
Measurements of time variations of gravitational potential second derivatives at the Garm geophysical test site
D. G. Gridnev, I. I. Naumenko-Bondarenko
1102
Organic components of thermal source gases in seismoactive regions
V. A. Isidorov, È. B. Prilepskiy, Yu. N. Fedorov
1106
Space and time variability of temperature inversion in low troposphere of Arctic
A. P. Nagurnyi, A. A. Timerev, S. A. Egorov
1110
Solution of linear problems of gravimetry and magnetometry in the presence of multiplicative-additive noise
V. N. Strakhov
1114

MATHEMATICAL PHYSICS
Formulas for solutions of some inverse problems for evolution equations
Yu. E. Anikonov
1117
Optimal evaluations of electrophysical parameters for models of scattering covers in remote sensing
V. K. Volosyuk, V. F. Kravchenko, V. I. Ponomarev
1120
Solution of a problem of Markushevich in a class of doubly periodic functions with orthogonal periods
Yu. V. Obnosov
1125

PHYSICS
Electromagnetic $K$-system with prolonged keeping of microwave signal energy
E. M. Ganapol'skii
1128
Harmony of acoustical spectra of Rostov bell ringings (application of the D-SELF model)
A. G. Ivanov-Rostovtsev, L. G. Kolotilo
1132

Number 6

MATHEMATICS
Estimates for solutions of the Dirichlet problem for a second-order quasilinear elliptic equation of nondivergence type near a corner point
M. V. Borsuk
1289
The Cauchy problem for nohomogeneous Cauchy–Riemann systems
A. Dzhuraev
1292
Duality of a pair of spaces of analytic functions of bounded growth
O. V. Epifanov
1297
Integral inequalities in the spaces $L^\Phi_\omega(S^{n-1})$
S. S. Kazaryan
1301
The strengthened Titchmarsh hypothesis in the discrete theory of the Riemann zeta function
A. A. Lavrik
1305
Beth properties, interpolation and amalgamation in varieties of modal algebras
L. L. Maksimova
1309
Approximation of functions by trigonometric polynomials on a manifold. I
S. M. Nikol'skii
1313
Positive solutions of nonlinear elliptic equations in the whole space
A. A. Pankov
1318
Abstract characterizations of arithmetic groups with the congruence property
V. P. Platonov, A. S. Rapinchuk
1322
Necessary and sufficient conditions for stability in $\mathbf{C}$ of linear difference boundary value problems of general form
S. I. Serdyukova
1328
Programmed iterations and universal $\epsilon$-optimal strategies in a positional differential game
S. V. Chistyakov
1333
Some properties of Fredholm mappings of Banach analytic manifolds
D. M. Shoikhet
1336

CYBERNETICS AND THE REGULATION THEORY
Algorithms for the nonparametric identification of linear systems
E. A. Gorin, M. A. Krasnosel'skii, N. A. Kuznetsov
1342
A stochastic qualitative theory of the search for an extremum
A. A. Krasovskii
1346

GEOPHYSICS
Parametric nonlinear interactions of long waves
S. A. Arsen'ev, L. N. Rykunov, N. K. Shelkovnikov
1349
Lifetime of artificial hole in $\mathrm{F}$ region of equatorial ionosphere
O. P. Kolomiytsev, V. V. Migulin, V. A. Surotkin, B. M. Reddy
1353
On the nature of light scattering layer in stratopause
O. G. Ovezgel'dyev, M. Begkhanov, O. Kurbanmuradov, V. N. Lebedinets
1357
Solution of linear problems of gravimetry and magnetometry by variational and structural-parametric methods in the presence of multiplicatively additive noise in the experimental data
V. N. Strakhov
1361

Letter to the editors: “The behavior of solutions of the equation $\Delta u=-1$ in convex domains” [Dokl. Akad. Nauk SSSR $\mathbf{304}$ (1989), № 3, 546–548]
A. A. Kosmodem'yanskii (Jr.)
1288

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