Geodesic

Sommaire du Fascicule no. 1

On the existence and stability of solutions of an equation with retarded argument in Hilbert space
p. 11-14
An asymptotic expansion for the distribution of a statistic admitting a stochastic decomposition depending on a linear combination of order statistics, for close alternatives
p. 14-16
On the exact solution of some extremal problems on classes of functions determined by integral moduli of continuity
p. 16-19
On an exact sequence of modules and Bogoljubov’s ``Edge of the wedge'' theorem
p. 19-22
The first boundary value problem for a general nonregular equation with constant coefficients
p. 22-24
Multiplicativity conditions for function spaces of Besov and Lizorkin--Triebel type
p. 25-26
On classes of groups of Schmidt type
p. 26-29
Regular extensions of Hermitian operators
p. 30-33
Two-sided estimates of the approximation of functions by Riesz and Marcinkiewicz means
p. 34-36
On the imbedding of recursively presented Lie algebras and groups
p. 37-39
Finite-dimensional distributions of processes defined by stochastic differential equations, and the extrapolation of such processes
p. 40-43
The operator $(dd^cu)^n$ and the capacity of condensers
p. 44-47
Determination in real time of all the periodicities in a word
p. 48-51
Guaranteed estimates of undetermined quantities by means of ellipsoids
p. 51-54
Diophantine approximations in $L_2$ extremal problems
p. 54-57
Extremal properties of resonant motions
p. 58-62
Application of large elastic deformations in the space of final states
p. 63-66
Investigation of the steam absorption spectrum in the region of $590$ nm
p. 67-70
Four-wave interaction as a controlled frequency filter
p. 70-74
On the molecule drift under the effect of resonance infrared radiation
p. 74-78
On the nonuniformity of physical characteristics of ultradisperse particles
p. 79-81
Coulomb excitation of atom by fast multicharged ion
p. 82-86
Crystal structure of aktashite, $\mathrm{Cu}_6\mathrm{Hg}_3\mathrm{As}_4\mathrm{S}_{12}$
p. 96-98
Crystal structure of $\mathrm{Na}_4\mathrm{Sc}_2\mathrm{Si}_4\mathrm{O}_{13}$
p. 98-102

Sommaire du Fascicule no. 2

On an approach to the solution of optimal control problems
p. 265-268
Optimization of weakly controllable stochastic systems
p. 268-271
The problem of the number of nonautoequivalent constructivizations
p. 271-274
The Dirichlet problem for some degenerate elliptic equations with boundary functions in $L_p^*$
p. 274-276
On approximation properties of closed sets in Banach spaces and the characterization of strongly convex spaces
p. 276-280
Rockafellar convolution and a characterization of optimal trajectories
p. 280-283
On bases consisting of derivative chains corresponding to boundary value problems
p. 283-287
The Neumann method in boundary value problems for the Helmholtz equation
p. 288-291
On a variant of the differential sweep method
p. 292-295
A universal lower bound on the rate of growth of globally minimal solutions
p. 295-299
Logical forms of binary relations in a criterial space
p. 300-304
On the hydroelasticity problems for a viscous liquid and elastic bodies with initial stresses
p. 305-308
Self-focusing and quasiwaveguide propagation of a Gaussian beam in a supersonic current of gas
p. 309-311
The theory of an ideal raft
p. 312-315
New effects in the flow of two-phase media in an electric field
p. 315-319
Distinguishing the forerunners of medium-strength earthquakes by the method of magnetometry and geodesy
p. 320-322
Rock equation of state under explosive loading
p. 322-326
Investigation of large-scale breakdown in the IHPP Big Press
p. 326-329
Electrical breakdown caused by a shock wave in optical glasses with space charge
p. 330-331
On the crystal structure and twinning of seligmannite and bournonite
p. 345-347
Explosion synthesis and crystal structure of $[\mathrm{ClF}_6][\mathrm{CuF}_4]$
p. 347-350
An algebraic method of superposition function construction
p. 350-352
On the time behavior of crystal growth rates
p. 352-354
Crystal structure of erbium germanogermanate
p. 354-357

Sommaire du Fascicule no. 3

Imbedding theorems for generalized Besov and H\"older spaces
p. 521-525
Additive problems of analytic number theory and the asymptotics of distributions of rank statistics
p. 525-529
Application of singular perturbation theory to the study of mathematical problems of mass transfer in multicomponent systems
p. 529-534
New forms of realizability and Markov's rule
p. 534-537
Limits of monotone sequences of Banach spaces. Applications
p. 537-540
On S.\,P.~Novikov's conjecture in the theory of $\theta$-functions and nonlinear equations of Korteweg--de Vries and Kadomtsev--Petviashvili type
p. 541-544
A method of fictitious unknowns for solving difference equations of elliptic type in domains of complicated form
p. 544-548
On the convergence of spectral decompositions corresponding to nonnegative selfadjoint extensions of the Sturm--Liouville operator
p. 548-550
Quasiregular differential operators of fourth order
p. 550-553
On a higher precision implicit method of integrating differential equations
p. 554-557
Symmetries of Sturm--Liouville equations and the Korteweg--de Vries equation
p. 557-562
Open existence properties for some extensions of the intuitionistic type theory
p. 562-565
Estimates for powerlike quasipolynomials of the type of A.\,A.~Markov's and S.\,M.~Nikol’skii's inequalities
p. 566-569
Mechanism of generation of Korotkov sounds
p. 570-574
Gas-dynamic regimes of the thermal self-influence effect
p. 575-577
Method of calculation of two-dimensional nonstationary flows of a viscous gas in nozzles
p. 578-582
Features of convective heat emission of bodies slowly moving in the atmosphere
p. 583-586
Dissipative structures in an inhomogeneous nonlinear burning medium
p. 587-591
Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid
p. 591-594
On the quantum-mechanical consideration of the magnetic resonance problem
p. 595-599
Electrostatic mechanism of the charging of bodies with angle points in exterior electrostatic fields. Electrostatic
p. 599-602
Crystal structure of $\mathrm{CsSbS}_2$
p. 603-605
On the crystal structure of sidorenkite,
p. 605-607
Taking account of the symmetry when determining atom- and interatom vector coordinates by an algebraic method
p. 608-610
Поправки к статье ``Сингулярные возмущения и обобщенные функции'' (ДАН, т.~249, \No~5, 1979~г.)

Sommaire du Fascicule no. 4

The Cauchy problem for the Korteweg-de Vries equation
p. 777-780
Two theorems on the cardinality of topological spaces
p. 780-783
Regularly closed fields
p. 783-785
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
p. 786-790
Estimates of diameters of the unit sphere of the function space $\mathring{L}^l_p(\Omega,v)$ in $L_q(\Omega)$
p. 791-794
On the singularities of solutions of differential equations
p. 794-799
Asymptotic as $t\to\infty$ of the solution of the Cauchy problem for the nonlinear Schr\"odinger equation
p. 799-802
A martingale analogue of the strong law of large numbers
p. 803-805
Tur\'an $l$-graphs and Ramsey numbers
p. 805-808
On the arithmetic properties of values of $E$-functions connected by algebraic equations in the rational function field
p. 808-812
Asymptotic completeness for the multidimensional time-dependent Schr\"odinger equation
p. 812-816
Integration of nonlinear nonstationary convective heat- and masstransfer equations
p. 817-820
Transverse wave velocity and Debye temperature in potassium halogenides during the polymorphous transformation
p. 821-823
On the conditions of thermodynamic equilibrium of nonlinearly elastic material phases
p. 824-828
Mechanism of the formation of the earthquake hydrodynamic forerunner
p. 828-831
Two methods of comparing solutions of parabolic equations
p. 832-835
Interaction of dissipative heat structures in nonlinear media
p. 836-839
Rheological state equation and dispersion of sound in gel-like media
p. 840-844
On the plasma chemical methods of obtaining energy earners with the separation of products on electrolytic membranes
p. 845-848
Backscattering of a plane beam of fast charged particles from the surface of a substance at grazing incidence
p. 848-851

Sommaire du Fascicule no. 5

The star method, new classes of spaces and countable compactness
p. 1033-1037
Representations of the solutions of some linear operator equations
p. 1037-1040
A stable numerical method of solving boundary-value problems for systems of linear ordinary differential equations
p. 1040-1044
A one-dimensional nonisothermic problem of contact hydrodynamics
p. 1044-1048
Isometric transmutation operators and the spectral function for a class of one-dimensional singular pseudodifferential operators
p. 1048-1051
On the boundary behavior of planar $\mathcal{L}_p^1$-mappings
p. 1052-1055
Requirements on the boundary in the $L_p$-theory of elliptic boundary value problems
p. 1055-1059
On the duality in categories of topological groups
p. 1059-1062
On the continuity of a metric projection in the space $C(Q)$
p. 1063-1066
On boundary values in $\mathcal{L}_p$ , $p>1$ of solutions of parabolic equations
p. 1067-1069
On an eigenvalue problem for an equation of mixed type
p. 1070-1072
On Riccati equations integrable in quadratures
p. 1072-1077
Search for a maximal upper zero for a class of monotone discrete functions
p. 1077-1080
Insensitivity-optimal nonstationary stochastic control systems
p. 1081-1084
Critical phenomena in the motion of low-temperature plasma
p. 1085-1087
Chemical magnetization of magnetite and its role in the paleomagnetism
p. 1088-1091
Tectonics of lithosphere platforms and the origin of tsunamigenic earthquakes
p. 1092-1095
Horizontal torsion balance as a seismic field sensor
p. 1096-1097
On the restoration of wave front of an object from its diffraction pattern
p. 1098-1101
On the phenomenological theory of spin combustion
p. 1102-1106
Experimental investigation of the undulator radiation spatial monochromatism
p. 1106-1110
Relation of the energy -- measurement time uncertainty
p. 1110-1113
Crystalline and molecular structure of 1,4,9,12-tetraazacyclohexadecane-3,10,13,16-tetraone
p. 1119-1122
On the crystal structures of calciborite, $\mathrm{Ca}_2[\mathrm{BO}_3\mathrm{BO}]_2$, and synthetic calcium boroaluminate,
p. 1122-1123
Visualization of the rotation period of polarization plane on the impurities of an optically active crystal
p. 1124-1125
Crystal structure of natural monocline kurchatovite,
p. 1125-1128

Sommaire du Fascicule no. 6

Deformations of the general Lie algebras of Cartan type
p. 1289-1292
Combinatorial numbers, geometric constants and probabilistic inequalities
p. 1293-1296
General boundary-value problems for a class of singular and degenerate equations
p. 1296-1300
Randomized estimation of the Fourier coefficients of the expansion of a function in $L_2$
p. 1301-1305
Hamiltonian cohomology of canonical algebras
p. 1306-1309
Current algebras and nonlinear partial differential equations
p. 1310-1314
On some properties of spectral decompositions corresponding to a selfadjoint elliptic operator of the second order with discontinuous coefficients
p. 1314-1317
On an optimal problem of Stefan type
p. 1317-1321
Plane adiabatic burst of a heated polymer layer
p. 1322-1325
Shape of the surface of a capillary liquid in a vertical cylinder of arbitrary cross section
p. 1326-1330
Strong explosion and reorganization of the equilibrium configuration during relativistic gravitational collapse
p. 1330-1334
A problem of the theory of free convection
p. 1334-1337
Solution of a mixed static problem of elasticity theory for a half-space on an elastic base
p. 1338-1341
Solar neutrinos and nonradial solar oscillations
p. 1342-1345
Radiant heat exchange in the Venusian atmosphere
p. 1345-1349
On the theory of directional seismic antennas
p. 1350-1353
On a model of the tectonic earthquake focus
p. 1353-1356
Geostrophic convection
p. 1356-1360
Structure of the general solution and classification of partial sums of the Boltzmann nonlinear equation for Maxwellian molecules
p. 1361-1365
The nonequilibrium Green functions and their applications to nonequilibrium systems
p. 1365-1367
Optical properties and structural transformation in $\mathrm{NiTi}$
p. 1368-1370
On the theory of light-beam nonlinear distortion compensation by means of the inversion of its wave front
p. 1371-1375
Kinetic properties and high-temperature phase transition in $\mathrm{NiTi}$ and $\mathrm{FeCo}$ alloys
p. 1376-1378
Shock-wave front structure in solids
p. 1379-1381
Crystal structure of $\gamma$-$\mathrm{KEr}[\mathrm{PO}_3]_4$ -- a new modification of rare-earth metaphosphates $\mathrm{KTR}[\mathrm{PO}_3]_4$
p. 1392-1395
Synthesis and structure of $\mathrm{AsSeJ}$ crystals
p. 1396-1398
Precision orientation of crystals, visualization and measurement of
p. 1398-1401