Geodesic

Sommaire du Fascicule no. 1

On the question of the extrinsic geometry of a~hypersurface
p. 3-8
Unilateraly stratifiable pairs of families of (2−2)-planes in E5
p. 9-20
The convergence of infinite products
p. 21-25
Stationary semigroups
p. 26-34
Certain geometric forms associated with a~family of lines and planes in lSn
p. 35-44
On the theory of W-groups.~I
p. 45-52
The Frattini subgroup of a~topological group.
p. 53-61
Divergent Fourier series with respect to Haar's system
p. 62-68
Certain tests for the convergence of infinite products
p. 69-72
Asymptotic behavior of the resolvent of a~certain triangular system of equations, and uniform approximation on the half axis of the solution of a~system of Volterra equations
p. 73-82
Normalization of surfaces by means of involution
p. 83-89
Ordered algebras of multiplace functions
p. 90-98
The uniform estimation of the error in the grid solution of Dirichlet's problem
p. 99-101
General conditions for the equivalence of parabolic equations, and their applications.
p. 102-111
Mikhail Alekseevich Lavrent'ev (on his 70th bithday)
p. 112-113

Sommaire du Fascicule no. 2

Symmetric Riemannian spaces V4
p. 3-12
An application of Cauchy type integrals to the solution of boundary value problems for a~fourth order equation of mixed type.~I
p. 13-21
Investigations of interpolation processes that are constructed with extended systems of nodes
p. 22-32
A~certain class of improper integrals in filtration theory problems
p. 33-41
On the projective theory of pairs of line congruences
p. 42-52
Groups with invariant nonisolated subgroups
p. 53-57
Certain classes of linear topological lattices
p. 58-61
Critical determinant of the region |x|p+|y|p≤1.
p. 62-70
Characters of commutative semigroups.~II
p. 71-77
Estimation of the parameters of a~mixture of measures by the maximum likelihood method
p. 78-80
Riemannian spaces that admit a~group of motions with reducible isotropy group
p. 81-89
The total simulation of axially symmetric gravitation fields
p. 90-95
Points of stationarity of functionals of the type of the action integral of a~conservative system
p. 96-101
Closed solution of a~certain two-dimensional integral equation
p. 102-104
Some Diophantine equations
p. 105-112
The solution of nonlinear operator equations of the first kind
p. 113-118

Sommaire du Fascicule no. 3

The definability of lattices by lattice endomorphisms
p. 3-11
Certain properties of interpolation processes
p. 12-17
Least upper bounds for the successive derivatives of a~polynomial on an interval
p. 18-22
The metric theory of pseudo-congruences of lines in 3S5 and the projective theory on pairs of congruences of lines of the space P3.
p. 23-32
A~certain generalization of a~theorem of G.\,E.~Shilov and G.\,V.~Dikopolov
p. 33-40
Multiplication of distributions and regularization of divergent integrals
p. 41-49
Free decompositions in certain varieties of multioperator groups
p. 50-54
Two-dimensional normal matrices
p. 55-60
The inversion of integral equations of the first kind with Fourier type kernels
p. 61-71
Extension of functions, and the absolute convergence of certain function series
p. 72-80
A~certain property of the coefficients of the transfer function of a~sampled-data system
p. 81-85
A~certain class of operators in abstract spaces
p. 86-91
A~certain generalization of the concepts of symmetric continuity and symmetric differentiability
p. 92-100
On the solution of the Riemann problem in singular cases.~I
p. 101-113
The exceptional directions of a~certain system of three differential equations
p. 114-117
Vladimir Vladimirovich Morozov (on his 60th anniversary)
p. 118-120

Sommaire du Fascicule no. 4

On the theory of antigroups
p. 3-15
An example of a~space in which every minimization set is trivial
p. 16-19
Certain questions in the theory of the stability of Volterra integral equations.~III
p. 20-31
Groups of motions of Clifford forms of closed surfaces
p. 32-36
Mathematical consideration of the problem of the longitudinal oscillation of an elasto-viscous nonhomogeneous rod
p. 37-41
H-Hermitian spaces
p. 42-49
On the theory of W-groups.~II
p. 50-58
θ pairs of two-parameter families of (n−1)-planes in~P2n−1
p. 59-68
Riemannian curvature of Hermitian-elliptic and quasielliptic spaces
p. 69-77
Integral equations of the first kind with kernel of potential type
p. 78-86
Abstract characterizations of certain algebras of multiplace functions
p. 87-95
Certain properties of Fibonacci numbers
p. 96-101
Complexes containing normal line congruences in multidimensional non-Euclidean spaces
p. 102-109
Approximation of functions in the class Hp,dμ by bounded analytic functions that satisfy supplementary interpolation conditions in the disc |z|1
p. 110-116

Sommaire du Fascicule no. 5

Existence theorems and the method of successive approximations for some nonlinear problems
p. 3-13
On the S.\,N.~Bernshtein--I.~Martsinkevich method for the summability of interpolation processes
p. 14-17
Almost complex structures on the manifold of tangent vectors
p. 18-27
Generalizations of the inequalities of Eliezer and Daykin
p. 28-31
Iteration schemes for equations with monotone operators
p. 32-37
An electric field in a~magnetohydrodynamic channel of rectangular cross-section with finite electrodes
p. 38-45
The extension of a~vector-valued measure
p. 46-53
The spectrum of the scattering matrix
p. 54-61
The family of axial planes of a~two-dimensional net in four-dimensional projective space
p. 62-70
The directed Moore-Smith limit and infinitely multiple sequences
p. 71-73
The cohomology of two infinite-dimensional Lie algebras
p. 74-81
Riemannian curvature of quadratic complex, double, and dual elliptic spaces
p. 82-91
A~certain class of potential type operators on the line
p. 92-100
The approximate solution of unstable extremal problems
p. 101-108
A~linear-fractional integral of the geodesics in quasieuclidean spaces
p. 109-116

Sommaire du Fascicule no. 6

An application of integrals of Cauchy type to the solution of boundary value problems for a~fourth order equation of mixed type.~II
p. 3-8
Definability of free abelian groups of finite rank by the lattice of subgroups that are invariant with respect to an involutory automorphism
p. 9-14
Certain questions of the theory of approximate methods.~IV
p. 15-23
The fundamental group of transformations of the space S¯pmn(i,j), and its extension
p. 24-32
An application of the method of nuclear perturbations in scattering theory for a~pair of spaces
p. 33-42
The bifurcation points of the Hammerstein equation
p. 43-53
The stability of the motion of a~pin in a~bearing
p. 54-60
Analytic conditions and certain questions of the approximation of linearly convex domains with smooth boundaries in the space Cn.
p. 61-69
Basic symmetric spaces of dual extensions of real simple Lie groups
p. 70-77
On the solution of boundary value problems of magnetogasdynamics by the hodograph method
p. 78-85
Uniqueness and continuous dependence on initial conditions of the solutions of systems with transformed argument
p. 86-94
Certain numerical methods of the approximate solution of system of Volterra integral equations
p. 95-101
A~left-semiperfect ring that is not left-f-perfect
p. 102-110
A~class of singular integral equations whose characteristic numbers fill a~domain
p. 111-112

Sommaire du Fascicule no. 7

Newton's method in the theory of implicit functions
p. 3-8
The construction of small solutions of nonlinear equations in a~multidimensional branching case
p. 9-19
The extension of the Moore--Kangro method to double series
p. 20-31
The application of a~certain convergence system to the investigation of quadrature formulas
p. 32-37
The convergence of conjugate trigonometric integrals
p. 38-43
Perturbation of the periodic solutions of differential equations in the case when the spectrum of the monodromy operator of the generating equation contains~1
p. 44-49
Certain properties of univalent functions in the disc |z|1
p. 50-53
A~characterization of the projections of monogenic partial transformation semigroups.~I
p. 54-62
Two approaches to the solution of the generalized Dirichlet and Neumann problems for the Laplace equation in n-dimensional space
p. 63-70
Fundamental properties of E-groups on the plane
p. 71-80
Approximate solution of operator equations of the first kind and the geometric properties of Banach spaces
p. 81-93
Infinitesimal p-bending
p. 94-98
Representation of commutative idempotent semigroups
p. 99-107
A~certain bicompact topological space
p. 108-112
Commutative semigroups with single element normal subsemigroups
p. 113-121
The asymptotic behavior of the solutions of the system Y″−Q(x)Y′−P(x)Y=0.~I
p. 122-136

Sommaire du Fascicule no. 8

The Tricomi problem for the Lavrent'ev--Bitsadze equation in a multiply connected domain,~I
p. 3-10
Line-plane manifolds in~En
p. 11-15
Representation of generalized functions over the space~K by means of the A-integral
p. 16-26
Approximation of continuous periodic functions by linear means of polynomials of best quadratic deviation
p. 27-40
Point correspondences of Euclidean spaces with tangentially degenerate graph
p. 41-51
Semigroups of all partial automorphisms of universal algebras
p. 52-58
On a~differential n-person game
p. 59-68
Apropos a~certain theorem of E.~Hille
p. 69-75
О~рукописи Н.\,И.~Лобачевского логики>>
Positive definite functions on Chevalley groups
p. 77-87
A~characterization of the projections of monogenic partial transformation semigroups.~II
p. 88-93
A~certain characterization of algebraic hypersurfaces.~I
p. 94-102
A~certain divergent interpolation process
p. 103-110
Simple and quasisimple Jordan algebras
p. 111-121
The overconvergence of a~sequence of polynomials of best approximation
p. 122-126

Sommaire du Fascicule no. 9

The Tricomi problem for the Lavrent'ev--Bitsadze equation in a multiply connected domain,~II
p. 3-8
Wreath products of linear Ω-algebras
p. 9-17
t-simple representations of antigroups
p. 18-29
Separative semigroups
p. 30-39
The p-variation of functions of two variables
p. 40-49
Convergence in the large of aЁcertain iteration process for ordinary differential equations
p. 50-54
The induced Weyl connection on surfaces in projective space
p. 55-61
A~certain characterization of algebraic hypersurfaces.~II
p. 62-69
Basic symmetric spaces of dual extensions of real quasisimple Lie groups
p. 70-78
О~существовании и единственности решения систем дифференциальных уравнений первого порядка, частично разрешенных относительно производных
p. 79-84
Generalized quadrature formulae of highest algebraic accuracy
p. 85-93
A~two-point boundary value problem
p. 94-100
Letter to the editors

Sommaire du Fascicule no. 10

Equal path nets and three-webs in Riemannian geometry
p. 3-11
S.\,D.~Rossinskii's reference frame for a~family of planes
p. 12-15
The summability of trigonometric Fourier integrals by the method of G.\,F.~Voronoi
p. 16-23
On the theory of involuted semigroups
p. 24-35
Operator-Gevrey function spaces
p. 36-41
Those characteristics of a~system of three differential equations that tend to the origin along a~spiral and have infinite order of curvature
p. 42-46
Series with complex terms whose range of convergence is a~line
p. 47-56
The convergence of a~certain process of Bernshtein--Rogozinskii type
p. 57-60
On the theory of lattice-ordered semigroups
p. 61-69
The p-density of sets on the line
p. 70-75
Superinvolutory distributions
p. 76-81
The asymptotic behavior of the solutions of the system Y″−Q(x)Y′−P(x)Y=0.~II
p. 82-88
Semigroups of homeomorphic transformations of bounded closed sets of dimension~0
p. 89-96

Sommaire du Fascicule no. 11

Semisimple varieties of multi-operator algebras.~I
p. 3-10
Certain sufficient conditions for the analyticity of functions
p. 11-18
A~certain polynomial operator
p. 19-24
The hyperarea of the level surfaces of functions of several variables
p. 25-27
A~certain projection method of solution of ill-posed problems
p. 28-32
Direct methods of solution of certain operator equations.~I
p. 33-44
Pencils and connectivity relations on semigroups
p. 45-56
Weakly parabolic T~ and T¯ pairs of 2-families of planes in~P5
p. 57-67
A~certain theorem on homogeneity in a~linear space
p. 68-71
The solvability of the Dirichlet problem for quasilinear elliptic equations in classes of functions that have a~given behavior at infinity
p. 72-77
Generalized pseudofocal families of d-planes in~PN
p. 78-84
A~Tauberian theorem for the Borel summability method
p. 85-92
Fourier--Laguerre coefficients
p. 93-98
The intrinsic geometry of multidimensional surfaces that carry a~projective-Chebyshev net
p. 99-103

Sommaire du Fascicule no. 12

The stabilization of the solutions of a~mixed problem for a~certain system of equations that contain a~polyharmonic operator
p. 3-14
Semisimple varieties of multi-operator algebras.~II
p. 15-21
Equal path three-webs in the Euclidean plane
p. 22-27
Direct methods of solution of certain operator equations.~I
p. 28-38
Weakly parabolic T pairs of 2-families of planes in~P5
p. 39-48
The estimation of approximations of functions of two variables of Lipschitz class by trigonometric polynomials
p. 49-62
A~certain theorem on groups with an invariant mean
p. 63-65
A~generalized quadrature formula for multiple integrals
p. 66-74
A~certain inequality for second order elliptic operators with bounded coefficients
p. 75-80
The probability that a~system of numerical functions will be mutually prime
p. 81-85
Equivalence of certain families of sets in topological spaces of uncountable weight
p. 86-90
Linear summability methods, and absolute convergence of double Fourier series
p. 91-102
A~certain family of varieties of semigroups
p. 103-108
A~certain analogue of a~space with conformal connection
p. 109-114
Solutions of quasilinear homogeneous equations
p. 115-122