Geodesic

Sommaire du Fascicule no. 1

Integrable Euler equations on six-dimensional Lie algebras
p. 11-15
On the integration of the cylindrical Kadomtsev--Petviashvili equation by the method of the inverse problem of scattering theory
p. 15-17
On the existence of universal functions
p. 18-22
Complex orientations of real algebraic curves with singularities
p. 22-26
Normal functions and the natural compactification of a plane domain
p. 26-29
On typical behavior of the trajectories of a rational mapping of the sphere
p. 29-32
On the completeness of the system of eigenvectors and associated vectors of nonlocal boundary value problems for quasielliptic partial differential operator equations
p. 33-35
Degenerate elements of Lie algebra representations
p. 36-38
On one-sided problems for nonlinear operators with convex constraints on the gradient of the solution
p. 38-41
Cellular decompositions of manifolds of forms of simplicity
p. 42-44
On the boundedness of singular integral operators with complicated singularities
p. 44-46
The principle of throwing out cycles in Morse--Novikov theory
p. 46-50
Mechanical interpretation of some peculiarities of lunar seismicity
p. 51-55
Observation from the satellite of electromagnetic
p. 56-58
On the plasticity of minerals at phase transformations
p. 59-61
Wave existence in the simultaneous polymerization and crystallization processes
p. 62-65
Defects of the ``oxygen vacancy'' -- type in silica glasses
p. 66-68
Growth of single-crystal plates of complicated oxide compounds by the Stepanov method
p. 69-72
Electronic structure of titanium oxides with perovskite structure in the cubic phase
p. 72-76
Selective laser spectroscopy of coproporphyrin
p. 76-80
Effect of the volume fraction of a gas on the characteristics of shock waves in a gas -- liquid medium
p. 81-83

Sommaire du Fascicule no. 2

Plancherel's theorem for an integral transformation associated with a complex of $p$-dimensional planes in $\mathrm{CP}^n$
p. 265-268
On a problem of M.\,M.~Lavrent'ev for the biharmonic equation in a rectangle
p. 268-273
Borsuk's problem on the metrization of a polyhedron
p. 273-277
New algebraic constructions of integrable Euler equations
p. 277-280
Mathematical models of aging of polymer insulating materials
p. 281-284
Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang--Baxter equations
p. 285-287
Arithmetically consistent $\lambda$-theories of type-free logic
p. 288-292
On a sufficient condition for approximability of a function by rational fractions
p. 292-295
On the boundary behavior of analytic sets and algebroid mappings
p. 296-298
Continuation with respect to a parameter of the solution of the two- dimensional inverse problem of the potential
p. 299-302
Analysis and algorithmization of melodies using the frequency dictionaries of musical
p. 303-306
Continuum theory of composite materials having small-scale distortions in their structure
p. 307-313
Steady flows of low-viscosity fluids in channels and tubes of periodic profile
p. 314-316
An averaged description of an elastic medium with a large number of small absolutely solid inclusions
p. 317-320
Extreme distortion of the image of objects observed through a scattering layer
p. 321-324
Hydrodynamics and structure of the two-phase astenosphere
p. 324-329
Temporal variations of the seismic wave amplitudes as determined
p. 329-332
The velocity of description front and the dynamic stresses on it during the explosion
p. 332-336
A method of generating exact solutions of nonsoliton type for electrovacuum gravitational fields
p. 337-340
Formation mechanism of radiation paramagnetic color centers in silica glasses
p. 341-344
Picosecond kinetics of singlet-singlet transient
p. 344-347
Detection of oscillatory rainbow for the high-energy scattering of molecules
p. 347-350
Crystal strusture of $\mathrm{Na}_2\mathrm{Sn}$-germanate,
p. 360-363

Sommaire du Fascicule no. 3

Regularizing stopping rules under conditions of random errors
p. 521-524
The $\epsilon$-maximum principle for suboptimal controls
p. 525-529
Pursuit of an evading object by several objects of different type
p. 529-533
An index for invariant elliptic operators, $K$-theory, and representations of Lie groups
p. 533-537
Estimates of the attainable set and construction of admissible controls for linear systems
p. 537-541
Spherical harmonics and subharmonic functions
p. 541-544
On the reducibility of nonlinear evolution equations to linear normal form
p. 545-547
On retractions of homogeneous spaces
p. 548-551
On the probability of large deviations of maximum likelihood estimators
p. 551-556
Metasymplectic geometries as geometries on absolutes of Hermitian planes
p. 556-559
A recursive parametrization of the group $U(n)$
p. 560-562
Toward a theory of the sail
p. 563-565
Relations at the interface of
p. 566-569
Discrepancies of matching of the displacements and stresses in problems concerning joining and contact of elastic bodies
p. 570-574
Seismic anisotropy in a mantle transition zone
p. 575-579
Wave field near the rupture and the estimation of source parameters
p. 579-583
On the shape of Alfven modes in the axisymmetric adiabatic trap
p. 583-587
Motion of a spherical particle in its own saturated vapor at arbitrary Knudsen numbers
p. 588-591
On the influence of a weak pulsed magnetic field on the real structure of solids
p. 591-593
Laser annealing of $\mathrm{A}^{\mathrm{III}}\mathrm{B}^{\mathrm{V}}$ semiconductors
p. 594-597
On the classification and properties of the crystallographic orbits
p. 622-624

Sommaire du Fascicule no. 4

On the fundamental group of a manifold of negative curvature
p. 777-781
Characterization of vector structures by linear mappings
p. 781-784
Genetic operators and multiparameter spectral problems
p. 785-788
Multidimensional spectral asymptotics for elliptic operators
p. 789-793
Embedding of sheaves in a Heyting-valued universe.
p. 794-798
Estimates of the resolvent for a class of quasielliptic partial differential operator equations
p. 799-802
On infinite finitely generated periodic groups
p. 803-805
The symbol of singular integral operators with conjugation in the case of a piecewise Lyapunov contour
p. 806-808
Equations with two unknowns in a free group
p. 809-813
Unsolvability of the problem of functional expressibility in the modal logic $\mathrm{S}4$
p. 814-817
Existence of an optimal control for a system with variable domain of definition
p. 818-820
Division by an inner function does not change the class of smoothness
p. 821-823
On the well-posed property of the Cauchy problem in the spaces $L_p^\alpha$ and $B_{pp}^\alpha$
p. 823-826
The anomalous Doppler effect and radiative instability of the motion of oscillators in hydrodynamics
p. 827-831
Numerical modeling of zone-averaged field of stratospheric ozone
p. 832-835
Processes in periodic media not describable in terms of mean characteristics
p. 836-840
Electron radiation during the motion in the (001) plane of diamond
p. 841-843
Effect of translucent at during the nonlinear scattering on static optical inhomogeneous
p. 844-847
Effect of a magnetic field on the electrical conductivity of electrolyte solutions in heterogeneous systems
p. 848-850
Thermo-e.m.f. mechanism of the metal oxidation kinetics under the action of laser radiation
p. 850-852
On one feature of the energy transformation in the diffraction radiation generators -- free-electron lasers
p. 853-856
A new channel of generation of the self-activated erbium crystal $\mathrm{KEr}(\mathrm{WO}_4)_2$
p. 856-858
Electrical properties and electronic structure of the niobium--molybdenum alloys
p. 858-861
Point explosion in an exponential atmosphere with nonzero asymptote
p. 861-864
Formation of the regularly oriented anisotropic structure during the recrystallization
p. 875-878

Sommaire du Fascicule no. 5

The Gibbs phenomenon for the Walsh system
p. 1033-1034
Minimax solution of an equation of the first kind
p. 1035-1038
Limit theorems for branching Markov processes
p. 1039-1043
Some cases of complete integrability of the Euler equations, and applications
p. 1043-1046
Pseudodifferential operators with complex variables and their applications
p. 1046-1050
The register complexity of address machines
p. 1050-1054
Degenerate parabolic pseudodifferential operators of variable order
p. 1055-1058
On an iteration method with fictitious unknowns
p. 1058-1062
On an approach to the determination of equilibrium in elementary exchange models
p. 1062-1066
Synthesis of control systems with quasicontinuous generation of controls
p. 1067-1071
Control of objects with distributed parameters
p. 1071-1074
On the method of frozen coefficients in the synthesis of linear regulators
p. 1075-1077
Filtration of a liquid with a free boundary in nonideal porous
p. 1078-1081
General method for solving problems of the diffraction of elastic waves by deformable obstacles
p. 1082-1086
Low-frequency vibratory movements of the earth crust block system after an earthquake
p. 1087-1089
On the electromagnetic sounding of sedimentary cover by the artificial sources
p. 1090-1094
The scattering of waves described by the Klein--Gordon equation by an inclined half plane
p. 1095-1098
Filtration of a liquid with a free boundary in nonideal porous media with a nonlinear resistance law
p. 1098-1101
On the maximal invariance group and the general solution of the one- dimensional equations of gas dynamics
p. 1102-1104
Influence of laser radiation on the absorption in the far wings of spectral lines
p. 1105-1107
On the equality of the differential sections of secondary particles in the $\mathrm{pA}$- and $\pi^-\mathrm{A}$-interactions at high energies
p. 1107-1109
Nonstationary nature of bimolecular luminescence quenching
p. 1109-1112
On one possibility of the linear kinetic transillumination of the inhomogeneous plasma
p. 1113-1115
On the decomposition of direct products of irreducible representations of the $C^4_{6v}$ group
p. 1125-1128

Sommaire du Fascicule no. 6

The spectrum of the Schr\"odinger operator with periodic potential
p. 1289-1292
Basic boundary value problems for the equation of oscillations of a stratified fluid
p. 1293-1296
On the solvability of a boundary value problem with an unknown parameter and an additional functional constraint of equality type
p. 1297-1300
Some properties of harmonic mappings in the case of spheres and Lie groups
p. 1300-1302
Conditions for proximity of convolutions, and a nonclassical limit theorem
p. 1303-1304
Determining the branches of an analytic curve, and Newton polyhedra
p. 1305-1307
On function systems in $k$-valued logic with closure operations of program type
p. 1307-1310
On estimates of meromorphic functions and summation of series in the root vectors of nonselfadjoint operators
p. 1310-1314
Construction of automatic control algorithms by the
p. 1315-1318
A geometric criterion for stability of discrete time-independent systems with a single nonlinearity
p. 1318-1322
A new empirical-statistical procedure for the text ordering and its applications to
p. 1322-1327
Asymptotic behavior of solutions of the Orr--Sommerfeld equation that yield unstable oscillations at large Reynolds numbers
p. 1328-1332
Motion of a spherical liquid film
p. 1333-1337
The problem of sudden coronary death in light of the mathematical theory of catastrophes
p. 1338-1341
Mean number of scatterings for radiation transfer with frequency
p. 1342-1346
Soliton configurations of interacting massless fields
p. 1347-1351
Mathematical models of the superradiation kinetics
p. 1351-1354
Optimization of multilayer structures during the passage of waves
p. 1354-1358
The method of nonorthogonal series in problems of electromagnetic diffraction of waves by coated bodies
p. 1358-1361
Stationary distribution of a system of interacting particles with discrete states
p. 1362-1364
Radiation spectrum at the planar channeling of electrons with dechanneling and collimation taken into account
p. 1365-1368
Turbulent relaxation of counterstreaming plasma beams. Results of numerical simulation on the computer M-10
p. 1369-1371
Electro optical effect in $\mathrm{GaP}$
p. 1372-1374
On the viscosity of monoatomic and biatomic gases at intermediate temperatures
p. 1375-1377
Chronometry cally invariant variations in the Einstein's theory of gravity
p. 1378-1380
Ionic electrical conductivity of proustite, $\mathrm{Ag}_3\mathrm{AsS}_3$, in the temperature range of $260$--$760$~K
p. 1380-1384
Crystal structure of $\mathrm{C}_{28}\mathrm{H}_{28}\mathrm{ClSb}$
p. 1389-1391
Color symmetry and the time inversion in systems a half-integral resultant spin
p. 1392-1394
Crystal- and molecular structure of $3{,}3$-dimethyl-$1,5,10,13,16$-pentaoxacyclodocosane-$6,9,17,20$-tetraone
p. 1395-1398