Geodesic

Sommaire du Fascicule no. 1

Factorization of Wiener--Hopf conservative integral operators
p. 3-10
Coincidence of limit loads
p. 11-19
The Dyson equations for general lattice systems
p. 20-27
Classification of spherical tube hypersurfaces having two minuses in the Levy signature form
p. 28-36
A probabilistic-statistical model of quantum mechanics
p. 37-52
Weak topology of an associated space and $t$-equivalence
p. 53-59
Metric variant of Cassel--Schmidt theorem
p. 60-66
A necessary and sufficient condition of smooth linearization of autonomous planar systems in a neighborhood of a critical point
p. 67-77
Best approximation of partial differential operators
p. 78-87
$n$-Soft mappings of $n$-dimensional spaces
p. 88-95
Complexity of computations in commutative division of the USSR Academy of Sciences
p. 96-104
The Hamilton property of stationary and inverse equations of condensed matter mechanics and mathematical physics
p. 105-111
A new class of finite-gap solutions of the Landau-Lifshits $XXZ$ equation
p. 112-114
Global formulas for solutions of quasilinear parabolic equations with a small parameter and ill-posedness
p. 115-117
On the homotopy invariance of the fixed-point property in the class of compact polyhedra
p. 117-118
Analytic continuation through generating manifolds
p. 119-120
A problem of J.~Hale
p. 120-121
Letter to the editor

Sommaire du Fascicule no. 2

In memory of Dimitrii Evgen'evich Men'shov (1892--1988)
p. 5-11
Direct and inverse theorems for approximation of functions for rational modules in domains with quasiconformal boundary
p. 12-20
Best approximation by bilinear forms
p. 21-33
Quadrature formulas associated with divisors of the field of Gaussian numbers
p. 34-41
Estimation of the moments of weighted sums for mixing processes
p. 42-50
Uniqueness of Franklin series
p. 51-58
A variant of the Abel--Goncharov interpolation problem
p. 59-65
Maximal function $f^\#$ being in an Orlicz class
p. 66-75
Markov inequalities for polynomials on triangles
p. 76-82
Diameters and quadrature formulas on periodic function classes, conjugate to' the Sobolev classes
p. 83-93
A theorem of Bohr for multiple trigonometric series
p. 94-103
Some uniqueness questions of multiple Haar and trigonometric series
p. 104-113
Combinatorial interpretations of the entropy of symbolic systems
p. 114-121
Integrability of the monotone majorant of the sum of a trigonometric series with quasiconvex coefficients
p. 122-127
Error estimates of quadrature formulas for classes of functions with bounded mixed derivative
p. 128-134
Sets of convergence to zero of lacunary trigonometric series
p. 135-144
Spherical sums of Fourier series in~$L_p$
p. 145-152
Chaos phenomena in three-dimensional relaxation systems
p. 153-155
Whitney constants
p. 155-157

Sommaire du Fascicule no. 3

Mapping a sphere into Euclidean space
p. 3-8
Surfaces with Chern--Lashof absolute curvature equal to the area of the Grassman image
p. 9-11
Arithmetic with a local reflection principle for Rosser provability formulas
p. 12-21
Chebyshev systems of functions and vector fields on spheres
p. 22-30
Star-triangle equations and some properties of algebraic curves connected with the integrable chiral Potts model
p. 31-39
Transcendence degree of some fields generated by values of the exponential function
p. 40-49
A limit theorem for sums of exponentials
p. 50-57
An analog of the Hardy--Littlewood equation
p. 58-67
Functions integral at points of a geometric progression
p. 68-73
Linear independence of logarithms of certain rational numbers
p. 74-79
Finitely presented solvable groups and Lie algebras with unsolvable equality problem
p. 80-92
Quasipure injective torsion-free Abelian groups
p. 93-99
Traces of multipliers in the space of Bessel potentials
p. 100-109
Euler characteristic and multiple coverings
p. 110-113
A generalization of the Kneser theorem on an embedded edge
p. 114-116
A correction theorem for a space of functions of generalized bounded variation
p. 116-118
The Riemann--Hilbert problem on the complex projective line
p. 118-120
Estimates for the areas of spherical representations of two-dimensional surfaces in Riemannian manifolds
p. 120-122
Hereditarily indecomposable nonmetrizable continua
p. 122-125

Sommaire du Fascicule no. 4

Localization conditions of square partial sums of a multiple trigonometric Fourier series in the classes of S.\,M.~Nikol'skii
p. 3-7
Computable classes of constructive models with non-limit-equivalent indexations
p. 8-13
Inversion of the Miura transformation
p. 14-24
One additive problem
p. 25-33
Relative convexity of subgroups of finite rank
p. 34-37
Percolation with several defect types. An estimate of critical probability for a square lattice
p. 38-47
Existence of polyhedra which cannot be decomposed into simplexes of equal volume
p. 48-51
An approximation of $|\sin x|$ by rational Fourier series
p. 52-59
Banach algebras and infinitely divisible distributions
p. 60-65
Covering numbers of regular multigraphs
p. 66-75
Multidimensional lame wave functions
p. 76-85
Asymptotic completeness and the absence of bound states in the quantum problem of scattering on a Brownian particle
p. 86-98
Linearization of spectral problems with the parameter in their boundary conditions and the properties of the M.\,V.~Keldysh derived chains
p. 99-109
Existence of an Euler mixed cycle in a partially oriented graph
p. 110-112
Structure of the Kolmogorov set near separatrices of a two-dimensional mapping
p. 112-114
On the zeros of the function $\zeta(s)$ in a neighborhood of the critical line
p. 114-115
The structure of cross sections of a typical continuous function by polynomials
p. 116-118
Turnpikes and infinite extremals in Markov decision processes
p. 118-120
Generalized Taylor series for the class of functions $H(\overline \rho,\overline m,r)$
p. 120-122
Absolute convergence of multiple Fourier series
p. 122-124
An inversion formula in a problem of integral geometry on ellipsoids
p. 124-126
An exceptional set in the Hardy--Littlewood problem for nonintegral powers
p. 127-128

Sommaire du Fascicule no. 5

Forking in locally free algebras
p. 3-8
Solution of problems of Kotzig and Gr\"unbaum concerning the isolation of cycles in planar graphs
p. 9-12
A theorem of Helly type for sets defined by systems of equations
p. 13-16
Kovalevskaya numbers of generalized Toda chains
p. 17-28
Convergence rate of the methods of approximate factorization
p. 29-39
Modules over some localizations of the ring of Laurent polynomials
p. 40-49
Homomorphisms of linear groups over commutative rings
p. 50-61
Some theorems on the existence of $\alpha$-resolvable designs
p. 62-71
Cycles in graphs and functional inequalities
p. 72-79
On boundary behavior of arbitrary functions defined in a halfspace
p. 80-88
A problem of singular perturbation with a limit cycle in a subsystem with fast time
p. 89-91
Some two-dimensional singular integral operators
p. 91-93
Harmonic and holomorphic functions on coverings of complex manifolds
p. 94-96
Perturbation of one-gap solutions of the Korteweg--de Vries equation
p. 96-98
The effect of diffusion on the $\alpha$-effect
p. 98-99
Elliptic solutions of integrable nonlinear equations
p. 100-102

Sommaire du Fascicule no. 6

Compact groups and their group rings
p. 3-9
Permutations of series in infinite-dimensional spaces
p. 10-17
Uniform convergence of the Fourier--Jacobi series on the orthogonality segment
p. 18-25
Splitting in a degenerate quasilinear parabolic equation
p. 26-31
Local formations of finite groups
p. 32-37
Diophantine equations $x^m-Ay^n=k$
p. 38-45
Supremally generating cones of the space of continuous functions
p. 46-52
On constructivizability of Boolean algebras with a selected subalgebra
p. 53-56
The Mal'tsev--Nielsen equation in a free metabelian group of rank two
p. 57-60
Group rings of Noetherian groups
p. 61-66
Analogue of Men'shov's theorem `on correction' for discrete orthonormal systems
p. 67-74
Relations in the piecewise-linear cobordism ring
p. 75-84
Certain asymptotic characteristics of groups
p. 85-93
Local description of closed submodules in a special module of entire functions of exponential type
p. 94-100
A correct boundary-value problem for a third-order degenerate operator equation
p. 101-109
Coercive estimates and separability for second-order nonlinear differential operators
p. 110-112
Interior averaging of first-order partial differential systems
p. 112-113
A criterion for finiteness of best approximation of a differential polynomial
p. 114-116
Meromorphic mappings that compress pseudovolume elements
p. 116-117
Locally nilpotent subgroups of the holomorph of an abelian group