Geodesic

Sommaire du Fascicule no. 1

Threefolds with a numerically effective canonical class of numerical dimension $1$
p. 3-6
Annihilator conditions in rings of endomorphisms of modules over small preadditive categories
p. 6-9
Orthogonal decompositions of semisimple associative algebras
p. 9-14
Quasi-$M$-projective abelian groups
p. 14-17
The Kolmogorov inequality for differential operators
p. 17-21
An inverse problem on the half line for finite-gap potentials
p. 21-28
Homeomorphism groups of homogeneous compact spaces
p. 28-31
Regular spectral problems in a space of vector functions
p. 31-35
Description of a set of minimal differential-dimensional polynomials
p. 35-39
Surmounting of a high step by a pacing apparatus
p. 40-43
Fundamental solution of a nonstationary problem of MHD flow around a body for small Reynolds numbers
p. 43-47
Analysis of a system of differential equations of the two-velocity flow of a mixture with phase transitions
p. 47-51
On the breaking of tidal waves by an underwater obstacle
p. 51-58
Directed liquid flow caused by oscillations of a perforated disk
p. 58-63
Projection widths of some finite-dimensional sets
p. 64-67
The Eilenberg--Borsuk duality theorem
p. 67-68
Closed embeddings into pseudocompact spaces with preservation of dimension
p. 69-71
Reconstruction of a differential operator from part of the spectrum
p. 71-72
Localization of perturbations in a boundary value problem for a first-order quasilinear equation
p. 73-75
Projective completeness and projective classes of spaces
p. 75-77
$m$-convexity and the centers of chordal graphs
p. 78-80
A problem with an oblique derivative for an equation of parabolic type
p. 80-81
Smoothness of generalized solutions of the Dirichlet problem for the Navier--Stokes equation in nonsmooth two-dimensional domains
p. 82-84
Multitrees. Model completeness and decidability
p. 84-86
Direct decompositions of abelian groups that do not have isomorphic near-refinements
p. 86-89
Natural homomorphisms in homology
p. 89-91
Asymptotic behavior of the spectral function for a class of hypoelliptic operators
p. 92-94
Hausdorff compactifications of mappings
p. 94-96
Homogeneity of a space of subgroups with respect to tightness
p. 96-98
Necessary conditions for the local solvability of a class of pseudodifferential operators with double involutive characteristics
p. 98-100
On nonhomogeneous simple processes
p. 100-103

Sommaire du Fascicule no. 2

The number of solutions in the space $L_2$ of a nonselfadjoint system of second-order differential equations
p. 3-8
Spectral representations of $\mathrm{ANE}(n)$-compacta
p. 8-10
The Lyapunov exponent of the product of random operators
p. 10-14
Normality of locally finite associative division algebras over classical fields
p. 15-17
On schemes allowing short tests
p. 17-21
Bounded hardening and limit behaviour of plastic composite medium
p. 22-26
A comparative analysis of averaging methods of isodirected fibrous elastic composites
p. 26-30
On Lagrangian coordinates calculation for three dimensional problem of high velocity impact of plasto-elastic bar with rigid target
p. 30-36
Kolmogorov tori in some nonintegrable systems that do not contain a small parameter
p. 36-39
Non-stationary loads on a corner resulting from shock wave diffraction
p. 40-44
On the problem of the stability of the periodic trajectories of a Birkhoff billiard
p. 44-50
Numerical modelling of three-dimensional waves' evolution in a flowing down layer of viscous liquid
p. 50-54
Perturbation theory of Hamiltonian systems with noncompact invariant surfaces
p. 55-61
Pattern recognition algorithms using short tests
p. 62-65
$PF$-categories
p. 65-66
Exponential estimates for the probabilities of large deviations for the solutions of a nonlinear parabolic stochastic equation
p. 66-69
Sharpening of an estimate for the complexity of realization of a system of all conjunctions of length $n$ by switching circuits
p. 69-71
On the existence of remote points
p. 71-73
Convergence with respect to ultrafilters and the collectionwise normality of products
p. 73-76
A formula of Feynman for systems of pseudodifferential equations in infinite-dimensional spaces
p. 76-78
The hereditary paracompactness of $X^2$ and the metrizability of $X$
p. 79-81
A remark on renormings of nonreflexive spaces and the existence of a Chebyshev center
p. 81-82
An exact $K$-cohomology $C^*$-index formula. I.~Thom isomorphism and topological index
p. 83-85
Sets of points of unbounded divergence of Haar series
p. 86-88
Computational complexity of some classes of polynomials of several variables
p. 89-91
Invariant solutions of motion equations for ``power-law'' liquids
p. 91-95
To the question on vapour bubble growth in liquid around heated particle
p. 95-97
Academician Andrey Nikolaevich Kolmogorov
p. 98-99
Письмо в редакцию: поправки к статье ``О полупростых максимальных подалгебрах $p$-алгебр Ли классического

Sommaire du Fascicule no. 3

Compact spaces of the form $F(X)$ that are continuous images of $I^\tau$ and $D^\tau$
p. 3-5
Localization in the category of topological modules
p. 5-9
Asymptotics of the Weyl--Titchmarsh $m$-function
p. 9-14
Central products of some metabelian $p$-groups of maximal class
p. 14-18
Lindel\"of $\Sigma$-spaces of functions and the Suslin number
p. 18-21
Calibers of spaces of functions and the metrization problem for compact subsets of $C_p(X)$
p. 21-24
Relative motion of an axisymmetric elastic body
p. 25-30
On the Hill determinant of a periodic orbit
p. 30-34
Evolution of the rotations of a symmetric gyrostat with elastic ring about the center of mass of a body
p. 34-37
Isometric embeddings of an infinite flat M\"obius strip and a flat Klein bottle in $\mathbf{R}^4$
p. 38-41
A two-valued velocity field with a root singularity
p. 41-44
Weight and far points of bicompactifications
p. 44-46
The unbounded attractor of a hyperbolic equation
p. 47-49
On sufficient conditions for maximality of the group of holonomy for Riemannian manifolds
p. 50-52
Functionally open and rectangular coverings of $X^2\setminus\Delta$ and some topological characteristics of Corson and Eberlein compact spaces
p. 52-54
On spaces of closed growth and inclusion hyperspaces
p. 54-57
Some properties of polynomial mappings that are connected with Lie algebras
p. 57-59
Regular Lie rings of derivations
p. 59-62
Rational types of certain groups of homeomorphisms
p. 62-64
Exponents of products of metric spaces
p. 64-67
Injective modules over restricted Lie algebras
p. 68-70
Attractors of parabolic and hyperbolic equations, the character of their compactness and attraction
p. 71-73
Asymptotics of the spectral functions for second order elliptic operators on Lobachevskij spaces
p. 73-75
Local solvability of pseudo-differential operators with double characteristics
p. 75-77
Coherent structures of heat transfer in a horizontal channel with stratified turbulent flow
p. 77-81
Effect of phase transitions on shock wave structure in a vapor-drop mix
p. 81-85
Internal circulation and deformation of viscous drops
p. 85-88
The uniform heating of a thin-walled elastic conical tube of transversely isotropic material
p. 88-92
Problem formulation for polymerizable glass fibre plastic pressure
p. 93-95
Unconnected thermoviscoelasticity on a free nonlinear rectangular oscillating plate
p. 95-99
Scientific research seminar in algebra (spring semestra sessions 1986/87)
p. 100-104
Scientific research seminar in general topology (autumn semester of 1985/86)
p. 105-107
A.~I.~Bunimovich (on the occasion of his seventieth birthday)
p. 108-111

Sommaire du Fascicule no. 4

Petr Lavrent'evich Ul'yanov (on the occasion of his sixtieth birthday)
p. 3-5
On some approach to the theorem ``on correction''
p. 6-9
Structure of the sums set of a functional series
p. 9-13
Smoothness and derivatives of analytic functions in $H^p(B^n)$ spaces
p. 13-16
Selection principles and properties of a part of eigen- and associated elements of operator pencils
p. 16-25
Uniqueness of solution of the Cauchy problem for second-order parabolic equations with increasing coefficients
p. 25-32
Plasticity during plane deformation caused by an instantaneous point heat source
p. 33-37
An impact of absolutely rigid plane by a rigid-plastic truncated cone
p. 37-45
Impact of a ring on the surface of a compressible fluid
p. 45-49
Moment random walk theory in nonstationary random media
p. 50-53
Two remarks on the theory of spaces of solutions of ordinary differential equations
p. 53-55
Approximation of $x^k\operatorname{sign}x$ by rational fractions of a certain type
p. 55-58
A simple relationship between the diameter and the radius of a graph
p. 58-60
Central polynomials of an algebra of second-order matrices
p. 61-63
Normality in dense subsets of function spaces
p. 63-65
Absolute convergence of series of Fourier coefficients
p. 65-70
$2$-generated Engel Lie algebras over the field $F_2$
p. 70-72
Invariant sublattices in a certain Cartan subalgebra
p. 72-75
Complexity of varieties of Lie algebras and their representations
p. 75-78
Transitive orthogonal decompositions of simple complex Lie algebras of type $F_4$ and $E_6$
p. 78-80
Perfect irreducible pre-images of topological spaces
p. 80-82
Testing a simple hypothesis that has a close simple alternative in an autoregressive time series model
p. 82-85
Effective estimates of a measure of algebraic independence of values of $E$-functions
p. 85-88
Some spaces that are related to automata compositions
p. 88-90
The Atiyah--Bott--Lefschetz formula for Hilbert bundles
p. 90-93
Dissipativity of systems of ordinary differential equations in the plane
p. 93-96
Weight of bicompact retracts
p. 96-97
$L^p$-theory of elliptic differential operators with bounded coefficients
p. 98-100
Scientific research seminar on general topology (sessions of spring semester of 1985/86)
p. 101-103

Sommaire du Fascicule no. 5

Cluster expansion for locally interacting Markov chains
p. 3-7
Singularly perturbed equations and an asymptotic study of the stationary characteristics of systems with repeated calls
p. 7-10
The small global dimension of the algebra $C(\Omega)$ and the continuum hypothesis
p. 11-14
Conditions for the existence of a maximal measure for a countable symbolic Markov chain
p. 14-18
The homological dimension of radical algebras of Beurling type with rapidly decreasing weight
p. 18-22
M.\,Ya.~Suslin's contribution to set-theoretic mathematics
p. 22-30
Nonlinear vibrations of an elastic stretchable rotating ring
p. 31-35
Loading and unloading conditions for a plastic composite material
p. 36-40
Spectral widths of finite-dimensional sets
p. 41-44
On an estimate for the difference of spectral functions of discrete operators in $L^2$
p. 44-47
Left-symmetric algebras with commuting right multiplications
p. 47-50
Divergence of Fourier--Walsh series
p. 50-53
The quotient property of a continuous real function that is defined on a connected, locally connected topological space
p. 53-55
Uniform convergence of series in multiplicative systems
p. 55-59
A lower bound for a percolation threshold for a square lattice
p. 59-61
Banach spaces with a homogeneous ball
p. 62-64
A group of width problems
p. 64-66
The language of Turing machines from the point of view of optimality
p. 66-68
The unsteady radial motion of a ring of non-Newtonian fluid with free boundaries
p. 68-71
Axisymmetric deformation of an elastic conical pipe made of transversely isotropic material under temperature loading
p. 71-75
The influence of evaporation on the drag and the momentum of forces acting on a spherical particle moving in an unsteady non-uniform viscous flow
p. 75-78
Contact problem of elasticity theory for a three-dimensional incompressible wedge
p. 78-81
Interaction of a spherical explosive charge with an elastic space
p. 81-84
Horizontal acceleration effect on gyropendulum stabilizer precision
p. 84-87
Rotation of a rigid body in a magnetic field
p. 87-91
Motion of a rigid body in a spherical suspension
p. 91-93
Final properties of integrals of conditionally periodic functions that are connected with the small divisor problem
p. 94-96
In memory of Anatolii Mikhailovich Vasil'ev (1923--1987)
p. 97-100

Sommaire du Fascicule no. 6

The Thouless formula and the absence of an absolutely continuous spectrum for Schr\"odinger operators with perturbed random potentials
p. 3-6
Virtual waiting time in systems with repeated calls
p. 7-10
Regularized traces of some pseudodifferential operators on the circle
p. 11-14
The infinite iteration of the hyperspace functor
p. 14-17
Open mappings of submetrizable spaces
p. 18-20
A uniqueness theorem for the solution of the Cauchy problem for degenerate parabolic equations with discontinuous coefficients
p. 20-25
Estimation of the parameters of complex random sets.~III
p. 25-29
Relative function spaces
p. 29-32
Smoothness of generalized solutions of the Dirichlet problem for a polyharmonic equation in plane domains with a nonsmooth boundary
p. 32-36
The loss of stability of the equilibrium of a flexible inextensible thin rod with a fixed end in a gravity force field
p. 37-42
First integrals of systems with elastic reflections
p. 42-45
Boundedness conditions with probability one of phase trajectories of a linear oscillator under random parametric excitation
p. 45-50
The dynamics of systems with nonintegrable constraints. V.~The freedom principle and a condition for ideal constraints
p. 51-54
A differential-parametric method for finding eigenvalues of the third boundary value problem for the Sturm--Liouville operator
p. 55-57
The homological dimension of Banach algebras of smooth functions is equal to infinity
p. 57-60
Church's thesis from the point of view of the provability interpretation
p. 61-63
Averaging the third boundary value problem for the Poisson equation in a domain with a rapidly oscillating boundary
p. 63-66
To the question of shock in porous powder-like media
p. 67-69
A corner under unsteady force loading, resulting from diffraction
p. 70-73
Uniqueness of the determination of piecewise-constant coefficients of the heat equation
p. 73-76
A conservative extension of a formal arithmetic
p. 77-78
Scientific research seminar on algebra
p. 79-82
Scientific research seminar on composites mechanics
p. 82-83
In memory of Yakov Naumovich Roitenberg
p. 84-86