Geodesic

Sommaire du Fascicule no. 1

Symmetries of polynomial equations of Yang--Mills type
p. 3-8
Index of a real singular point and its Newton diagram
p. 8-12
Expansion with respect to a system of functions with some fixed coefficients
p. 13-16
Average complexity of symmetric Boolean functions
p. 16-19
Minimal varieties of given codimension growth
p. 20-22
An analog of Perron's formula
p. 23-25
Approaching orbits of points on the Lobachevskiĭ plane under the action of integer-valued matrices
p. 26-30
A remark on the definition of the mean
p. 30-33
The Baire class of minorants of Lyapunov exponents
p. 33-40
Reflexivity of $C^*$-Hilbert modules obtained by the actions of a group
p. 40-45
Detonation in gases
p. 46-54
High-speed collisions of space debris particles with gas-filled shells
p. 54-66
Instability of a free vortex under high-speed swirl of the flow
p. 66-70

Sommaire du Fascicule no. 2

On the problem of reconstructing the general distribution from the distribution of a linear statistics
p. 3-8
Coexistence of $\omega$-limit sets
p. 8-12
Conditions for the diagonalizability and commutability of diagonalizable incidence functions
p. 12-15
Uniformity of systems of monotone functions
p. 15-20
Application of the method of fictitious domains for solving the stationary Navier--Stokes problem in a non-simply connected domain
p. 20-25
Periodic Boolean functions and a lower bound for the complexity of operators
p. 25-28
Nonsymmetric and multimode converging nozzle flows in the Jeffery--Hamel problem
p. 29-31
Percolation mechanism of gravitational differentiation as a model of seismic activity
p. 31-39
Charging of dielectric liquid near a rotating disk
p. 39-43
On a class of $n$-valued functions with subfunctions of a special type
p. 44-47
The concept of continuity in $\Lambda$-variation of functions of several variables
p. 47-50
Magnus representation for nonassociative algebras
p. 50-52
Dihedral bi-invariant cohomology
p. 53-57
Distribution of sums connected with rapidly increasing sequences
p. 57-58
Alexandrov research seminar on general topology
p. 59-63

Sommaire du Fascicule no. 3

Department of mechanics and mathematics of MSU is seventy
p. 3-12
The actions of quantum groups on quantum spaces
p. 13-17
A new proof of Blaschke's ellipsoid theorem
p. 17-22
The essential divergence in measure of function sequences and series
p. 22-29
On the sum of locally solvable ideals of Lie algebras
p. 29-32
On the Parseval equality for the product of functions
p. 32-40
The development of noncommutative geometry at Moscow University
p. 40-47
Standard bases in differential algebra
p. 48-56
Steady motions of a fluid-filled top on a plane with friction
p. 57-61
Static problem in stresses
p. 61-67
Equations of classical mechanics in a new form
p. 67-76
On brittle fracture of solids. II: Shear strength of rocks
p. 76-81
Inertial modes of displacement of liquids in capillaries
p. 81-89
Alexandr Julievitch Ishlinskii (1913--2003)
p. 90-91

Sommaire du Fascicule no. 4

To 90th anniversary of Academician A.\,Yu.~Ishlinskii (1913--2003)
p. 3-5
Rationality conditions for the ratio of elliptic integrals and the great Poncelet theorem
p. 6-13
Investigation of the limit sets of trajectories on a plane by an axiomatic method
p. 13-16
Decomposition of a translation-continuous functional into positive and negative parts
p. 17-20
Violation of the uniqueness for two-dimensional Haar series
p. 20-24
A vestibular function under extremal conditions of personal navigation and its correction
p. 25-35
Dissipation of energy in the theory of viscoelasticity
p. 35-46
A.\,Yu.~Ishlinskii's an expert in solid mechanics
p. 46-50
Generalization of the Prandtl problem on the compression of a band
p. 50-56
Mathematical models of aerogravimetric systems on the basis of corrected gyroinertial block
p. 56-66
A mechanical analogue of a control problem for a six-support stand
p. 67-70

Sommaire du Fascicule no. 5

Bistable states in the Bogdanov map
p. 3-8
Averaging of a problem with an obstacle
p. 8-17
Determination of an object acceleration by means of initial measurements of a satellite navigation system
p. 18-25
Active suppression of parasitic oscillations while the operation of a pneumatic antiblock system
p. 25-29
Iterationless approximations with respect to small parameter
p. 29-37
First integrals of the equations of motion of a generalized gyroscope in $R^n$
p. 37-41
Recurrence of the phase trajectories of a mathematical pendulum with a randomly moving suspension point
p. 41-49
Macromechanics and microworld. A mechanical model of the photon
p. 49-52
Breakup of the resonance regions for Meissner's equation under small damping
p. 53-59
Parametric instability of lateral oscillations of a train
p. 59-63
An operator method for solving the problem on equilibrium of a nonhomogeneous anisotropic band
p. 63-68
Research seminar on gas and wave dynamics
p. 69-71

Sommaire du Fascicule no. 6

Density in the subspace $D([0,1]^d)$ of a certain class of partial-sum processes
p. 3-6
Estimates for the images of $L^p$-functions for a class of integral operators
p. 7-11
Linear mappings preserving rank commutativity
p. 11-17
Use of low-catalytic coatings on the lee surface of a vehicle entering the Martian atmosphere
p. 18-22
Jet-cavitational streamlining of the ``atmosphere'' of two vortices
p. 22-27
Formation of a hydroseparation crack in a porous medium
p. 28-36
Closure operators with predicate branching
p. 37-39
A solution uniqueness theorem for the converse problem of spectral analysis for the Gegenbauer operator with a finite potential
p. 40-42
Incomplete separation of variables for some classes of partial differential equations
p. 42-46
The Parseval equality for Fourier--Stieltjes series in the Haar system
p. 47-50
Asymptotics for $t\to\infty$ of solutions to the Neumann problem in cylinder for semi-linear parabolic equation
p. 50-53
Properties of solutions to semi-linear elliptic equation satisfying the Neumann conditions on non-compact part of a cylindrical domain boundary
p. 53-55
A converse of the Hartman--Wintner theorem
p. 56-58
60th anniversary of Nail' Rakhimovich Sibgatullin (on the occasion of his sixtieth birthday)
p. 59-60