Geodesic

Sommaire du Fascicule no. 1

On Peano-valued absolute retracts
p. 3-5
Duality in homology theory
p. 5-9
On a problem of P.\,S.~Aleksandrov
p. 9-12
Fano fourfolds representable in the form of $\mathbf{P}^1$ bundles
p. 12-16
On the points of continuity of semicontinuous multivalued mappings
p. 16-20
The smallest subring of the ring $C_p(C_p(X))$, containing $X\cup\{1\}$ and everywhere dense in $C_p(C_p(X))$
p. 20-23
Singular perturbations of ordinary differential operators with integral boundary conditions
p. 23-26
Estimates for widths, in the sense of Kolmogorov, of classes of periodic functions of several variables with small-order smoothness
p. 26-30
On the algebraic independence of values of $E$-functions at algebraic points
p. 30-33
The expansion of reaction products and formation of secondary waves inside the tube during detonation in gas-film systems
p. 34-39
Resistance of two liquid, solid, and gaseous spheres in a homogeneous axisymmetric flow with analysis of their interactions
p. 39-43
The internal ballistics of explosive compressor
p. 43-47
Diffraction of an acoustic wave on a cylinder with a shock-absorbing coating
p. 47-51
Random orthogonal polynomials on the circle
p. 52-55
On the spectrum of a multidimensional random Jacobi matrix
p. 55-58
A random one-dimensional Schr\"odinger operator with increasing potential
p. 58-61
Remarks on a theorem of Kneser
p. 61-63
Reductions of some systems of differential equations definable by their symmetries
p. 63-65
On the motion of a continuum in a force field with a root singularity
p. 65-68
Estimates for the metric dimension of a graph in terms of the diameters and the number of vertices
p. 68-70
On a method for obtaining more than quadratic effective lower bounds for the complexity of $\pi$-schemes
p. 70-73
The motion of a drop in parallel magnetic field at small Reynolds and large Hartmann's numbers
p. 73-75
Acceleration of a body by piston gas compression
p. 75-78
The problem of maximum range flight
p. 78-81
Influence of characteristics of an external explosive action on parameters of a convergent cylindrical shock wave in metal
p. 81-85
Motion of viscous fluid in a circle rotating in the gravity field
p. 86-89
Interaction of a two-layer pad with an elastic half-plane
p. 89-92
On Lyapunov's index of one-dimensional wave equation with random coefficients
p. 92-94
The viscosity of a concentrated emulsion containing fluid spheres
p. 95-97
Scientific research seminar on aeromechanics and gas dynamics (sessions of the 1985/86 academic year)

Sommaire du Fascicule no. 2

Locally interacting processes with a noncompact set of values
p. 3-6
Estimation of the parameters of complex random sets.~II
p. 7-12
Error estimates in the approximation of countable Markov chains, connected with models of repeated calls
p. 12-15
A multiplier estimate for the distribution function of the lifetime of a particle in the Bellman--Harris process
p. 15-22
The motion of the phase interface during the dissolution of swelling coatings in a liquid flow
p. 23-26
Calculations of a flow in a channel with wavy walls by the method of orthogonal expansions
p. 26-32
On the propagation of a nonlinear spherical wave
p. 32-35
Stability of a free vortex
p. 35-40
Diffraction of an acoustic wave by an infinitely long circular cylinder
p. 40-44
A strengthened extremal property of Chebyshev polynomials
p. 45-46
On a harmonic measure
p. 46-49
Decompositions of parabolic singularities on one level
p. 49-53
On the asymptotic stability in the small of stationary sets of differential equations describing the dynamics of gyroscopes in the presence of dry friction
p. 53-56
On the limit distribution in a system of type $M(t)/G(t)/1$
p. 56-59
On the co-absoluteness of a space and its exponents
p. 59-62
The stability of invariant sets of autonomous functional-differential equations of delay type
p. 62-64
On nonsemisimple maximal subalgebras of Lie $p$-algebras of classical type
p. 65-67
On simultaneous approximations for some collection of Markov functions
p. 67-70
Two remarks on identities of an algebra of matrices
p. 70-72
On circular parameters
p. 73-75
On primes in sparse sequences
p. 75-77
On the spectrum of the Schr\"odinger operator with small periodic potential in dimensions two and three
p. 77-79
Buckling of an I-beam bent beyond the elastic limit
p. 79-82
Fundamental problems of finite deformations of an elastic transversally isotropic body
p. 83-85
Computation of separated flows in the square cavity
p. 85-87
On the quadratic integrals of a problem of Suslov
p. 87-90
On the pedagogic activity of the department of the probability theory of Moscow University
p. 91-94
The department of the probability theory today
p. 95-99

Sommaire du Fascicule no. 3

Theorems of Lindel\"of type for quasimeromorphic mappings
p. 3-6
On the number $\pi$
p. 7-10
A generalization of a uniqueness theorem for series in multiplicative systems
p. 11-15
Convective combustion and weak detonation in solid fuels
p. 16-21
A study of the plate and piston dynamics in an explosive compressor-type thrower
p. 22-27
On the excitement of parametric front wheels vibration
p. 27-32
The Cauchy problem for the Hamilton--Jacobi equation in the case of a finite domain of dependence of the solution on unbounded initial data
p. 33-35
Geometric characterization of the groups $A_7$, $L_2(11)$ and $L_2(25)$
p. 35-36
A stochastic model for evaluating the effect of repeated calls in digital communication systems
p. 37-38
Estimates for a multichannel priority system
p. 39-41
A system with multiple servicing in the case of a small load
p. 41-43
Factorization of certain quadratic operator pencils
p. 44-45
An optimality condition of Goh type for extremals that degenerate at a point
p. 46-50
On the $m$th row of a table of multipoint Pad\'e approximations
p. 50-53
Simultaneous approximations of values of some entire functions by numbers belonging to a cubic field
p. 53-56
A constructive example of a bounded Stein domain that is not holomorphically contractible
p. 56-58
On Fourier coefficients of kernels that do not increase oscillation
p. 58-61
A reduction of invariant convex cones
p. 61-63
Simultaneous approximations of the root and logarithm
p. 64-66
On the Luzin and Scorza-Dragoni theorems
p. 66-68
A boundary value problem connected with oscillations of an elastic rod with internal and external friction
p. 68-71
Nonhomogeneous subelliptic operators
p. 71-73
On an addition theorem for the Weierstrass $\mathscr{P}$-function
p. 73-75
Asymptotic behavior of the spectral function for operators constructed from vector fields
p. 76-78
On the question of the solvability of the Cauchy problem for the Laplace operator
p. 78-80
On the width of the strip of regularity of finite-zone potentials of the Dirac operator
p. 81-82
A method of operating a centrifuge cabin
p. 83-85
Diffusion to a particle at large Peclet and Hartmann numbers and small Reynolds number in a longitudinal magnetic field
p. 86-88
Stability of slow flows in a viscous continuum
p. 88-91
Universal deformations of a compressible transversely isotropic body
p. 91-93
The motion of a variable-density rod
p. 93-95
On effect of coupled heat and mass transfer on the propagation of sound waves in gas vapor droplet mixture
p. 95-98
The action of a concentrated force upon an edge of an incompressible elastic wedge
p. 98-101
Nonsteady heat and mass transfer of two-layer drop in hot gas
p. 101-104
On the shape of three-dimensional minimal resistance bodies, moving in plastically compressible and elastically plastic media
p. 105-107

Sommaire du Fascicule no. 4

Everywhere divergent Fourier series of functions of the class $L(\ln^{+}\ln^{+}L)^{1-\varepsilon}$ in multiplicative systems
p. 3-7
The impossibility of reconstructing a continuous function from a sequence of partial sums of a Fourier series with lacunary numbers
p. 7-12
Linear widths of classes of periodic functions of several variables
p. 13-16
Asymptotic behavior of the eigenvalues and eigenfunctions of boundary value problems in a domain with a small opening
p. 17-20
Free topological groups with no small subgroups, and Graev metrics
p. 21-24
The intersection of quadrics passing through a canonical curve and chord
p. 24-28
Dihedral homology and cohomology
p. 28-32
Representations of Lie algebras of derivations of commutative rings
p. 32-35
The attractor of a singularly perturbed parabolic equation
p. 35-39
The unattainability of central indices in a class of regular systems
p. 39-44
Burning of a coal particle of ellipsoidal form in high-temperature medium
p. 45-47
Mass and heat exchange of spherical particle and overrunning flow in parallel magnetic field at small Pecle and Reynolds and large Hartman numbers
p. 47-50
On a variational principle of statistical mechanics
p. 50-55
Imbedding in bicompact homogeneous spaces
p. 56-58
The topological normal forms of metamorphoses of caustics of the series $\mathbf{D}_\mu$
p. 58-61
An analogue of the N\'evai test for Fourier--Walsh series
p. 61-63
Structural stability of the synthesis of optimal trajectories in the Fuller problem
p. 64-66
Subspaces of function spaces
p. 66-69
Semisimple maximal subalgebras of Lie $p$-algebras of classical type
p. 69-71
The structure of monolithic spaces
p. 72-74
$C^*$-algebras $A$ over which the Hilbert module $l_2(A)$ is self-dual
p. 74-76
The complexity of realization of Boolean functions by schemes in a basis of median and implication
p. 76-78
Stress-strained state of an elastic transversely isotropic cylindrical shell in temperature loading
p. 78-82
Investigation of small amplitude hydromagnetic perturbations of anisotropic plasma
p. 82-86
An experimental investigation of stability of a liquid-filled body, rotating on a string
p. 86-88
New integrable cases of the gyrostat motion
p. 88-90
Unsteady creep of cylindrical shell and circular ring with initial bending under the action of the pressure $q$
p. 90-93
An isomorphism of trinomial relations of plasticity theory, and conditions for the solvability of boundary value problems
p. 93-96
Scientifi research seminar оп algebra
p. 97-99

Sommaire du Fascicule no. 5

Mathematics in the contemporary world
p. 3-6
The complexity of monotone calculations of polynomials
p. 7-13
The sum of a quadratic form and a power of an integer
p. 13-16
The countable character of $X$ in $\beta X$ versus the countable character of the diagonal in $X\times X$
p. 16-19
Transfinite dimensions and mappings
p. 19-25
Time change in integrable systems
p. 25-29
On some summation formulas
p. 29-32
A characterization of Polish $AE(n)$-spaces
p. 32-35
The analyticity of sums of trigonometric series with infinite-monotone coefficients
p. 35-40
The properties of random trigonometric polynomials with $\pm1$ coefficients
p. 40-46
Dynamic regimes of multi-legged walking robots motion
p. 47-51
Hypersonic flow at a rotating axially symmetriс body with massive blowing
p. 51-54
Conditions of detonation stationarity in homogeneous medium
p. 55-59
A qualitative investigation of an integrable variant of the nonholonomic Suslov problem
p. 59-64
Expansion of the burned gas behind the detonation wave in a tube-formed explosive
p. 64-72
On the problem of the periodic trajectories of the Birkhoff billiard
p. 72-75
The dynamics of systems with nonintegrable constraints. IV. Integral principles
p. 76-83
A constant in an embedding theorem
p. 84-87
Some properties of automorphic functions of rotation that are connected with the rate of growth of their spherical Ahlfors--Shimizu characteristic
p. 87-90
On a calculation method for turbulent near wall jets
p. 90-93
Momentum of forces acting on a rotating spherical particle in viscous non-isothermic gas
p. 93-96
Air-particle suspensions combustion in pipes in presence of friction and heat exchange
p. 96-99
The instability of equilibrium of a gyroscopic system with two degrees of freedom
p. 100-101
To the eightieth birthday anniversary of P.\,M.~Ogibalov
p. 102-103

Sommaire du Fascicule no. 6

An example of a quasiconvex but not polyconvex function
p. 3-6
Universal metrizable spaces of given weight and given depth
p. 6-9
On the problem of the existence of a solution to a mixed problem for the one-dimensional wave equation
p. 9-21
New trace formulas for operators with a discrete spectrum
p. 22-25
A lower bound for the approximation of $\ln2$ by rational numbers
p. 25-29
The Nash--Moser implicit function theorem for nonmetrizable locally convex spaces
p. 29-33
Usual convergence of asymptotic series in the presence of zero points of the spectrum
p. 33-40
Dynamics of a conducting ellipsoid in axisymmetric magnetic field
p. 41-45
Permanent rotations of a string-suspended axisymmetric solid
p. 45-51
On a stabilized motion of a symmetrical rotating body in the air
p. 51-55
Generalization of the Chevalley and von Neumann problems
p. 56-57
Extension of a selection for a multivalued mapping, and the Eilenberg--Borsuk duality theorem
p. 57-59
A class of Sturm--Liouville operators on the semi-axis with a given spectrum
p. 59-62
Algebraic generators of the group of automorphisms of a polynomial ring over a finitely generated algebra
p. 62-64
Dihedral homology of a tensor algebra and of skew polynomial rings
p. 65-67
Convergence almost everywhere of Riemann sums
p. 67-70
A problem without initial conditions for strongly degenerate hyperbolic equations with increasing coefficients
p. 71-73
Approximation of $\pi/\sqrt3$ by rational fractions
p. 73-76
Simple and free periodic groups
p. 76-78
Equilibrium of a plate and a tube made of a stratified composite material with viscoelastic components
p. 78-82
Spatial diffraction problem on a rigid and opaque wedge in a Biot medium
p. 82-84
Investigation by the polarization optical method of the stress state of a bolt under axial tension
p. 84-87
In memory of Evgenij Mikhajlovich Nikishin
p. 88-91