Geodesic

Sommaire du Fascicule no. 1

A~characteristic Cauchy problem
p. 3-7
A~global property of matrix-valued functions that depend on several variables
p. 8-17
A~property of closed convex polygons in two-dimensional spaces of constant curvature
p. 18-24
A~new estimate of the absolute constant in the Goldbach--Snirel'man problem
p. 25-35
The representation and product of distributions of several variables by means of harmonic functions
p. 36-42
The representation of linear functionals in Marcinkiewicz spaces
p. 43-53
Controllability of systems with lag
p. 54-65
The existence and uniqueness of the solution of certain partial differential equations with the Bessel differential operator.~I
p. 66-74
Theorems on the existence and uniqueness of the solution of certain systems of integro-differential equations of superneutral type
p. 75-80
Approximate calculation of singular integrals with Hilbert type kernels
p. 81-87
Convergence of the Newton--Seidel method
p. 88-90
Nonlinear integral equations in perfect spaces
p. 91-96
On the question of the continuability with respect to a parameter of the solutions of boundary value problems for differential equations in Banach spaces.~II. Positive solutions
p. 97-109
Projectivity of certain Banach modules and the structure of Banach algebras
p. 110-116
Properties of probabilistic languages
p. 117-122
Stability of extremal problems in locally convex spaces
p. 123-132

Sommaire du Fascicule no. 2

The group of triangular matrices and parabolic cylindrical functions
p. 3-7
A class of uniform almost periodic functions
p. 8-14
The domain of convergence of a multiple Dirichlet series
p. 15-25
Correctness in Gevrey classes of the Cauchy problem for certain nonstrictly hyperbolic operators
p. 26-35
Some properties of triangular set functions
p. 36-44
A class of linearization methods
p. 45-53
A program regulation problem
p. 54-58
Estimation of the solutions of first order differential equations with lag
p. 59-61
The structure of almost Grassmann manifolds
p. 62-72
The uniqueness of minimal projections
p. 73-75
Approximate solution of linear equations with a~non-unique solution
p. 76-80
Application of the Krylov--Bogoljubov method to the study of a~class of dynamical systems near boundaries of the domain of stability
p. 81-86
Some algebras of Menger relations
p. 87-95
An example of the solution of the Goursat problem that is unbounded near the line of degeneracy
p. 96-97
$O$-metrizable spaces
p. 98-104
A~graph-scheme of the coherence problem
p. 105-108

Sommaire du Fascicule no. 3

Estimation of the stability of quasisolutions, and the modulus of continuity
p. 3-9
An averaging operator
p. 10-14
Investigation of a~boundary value problem for a~partial differential equation of mixed type by means of reduction to a~singular integral equation with a~Carleman shift
p. 15-19
The completeness of a~system of functions
p. 20-23
Optimal quadrature formulas for singular integrals
p. 24-39
Some classes of projective locally convex spaces
p. 40-42
A way of accelerating the convergence of iteration processes
p. 43-47
The boundary layer method and the effective construction of higher approximations of the averaging method
p. 48-55
The divergence of interpolational processes at a~fixed point
p. 56-60
The method of lines for the approximate solution of mixed problems for a~one-dimensional hyperbolic equation
p. 61-75
The existence of continuous functions with a~given set of $GV$-singularities
p. 76-80
Some quadrature formulas for singular integrals
p. 81-89
Entire functions that are represented by Dirichlet series
p. 90-98
Asymptotic behavior of the solutions of the system $y'=\mu A(x)y$
p. 99-102
Reaction of thin cylindrical shells on the action of moving loads
p. 103-111
The reduction method for Wiener--Hopf equations with operator coefficients
p. 112-115
A~method for two-sided approximation of the solutions of operator equations
p. 116-119
Pure tensors on manifolds with a~commutative algebraic structure
p. 120-124

Sommaire du Fascicule no. 4

Entire functions that are represented by Dirichlet series
p. 3-10
Some remarks on the convergence of extended interpolation processes
p. 11-18
The quasiholomorph of a~loop
p. 19-25
Projections of Lie algebras of characteristic~0
p. 26-31
Monogenic subgroupoids of a~groupoid of prevarieties of lattices
p. 32-41
On the problem of the calculation of the minimal number of inputs of controllable dynamical systems
p. 42-52
Improvement of the convergence of series
p. 53-57
The existence and uniqueness of the solution of certain partial differential equations with the Bessel differential operator.~II
p. 58-63
Some quadrature formulas for singular integrals
p. 64-78
Meromorphic pseudodifferential operator-valued functions
p. 79-90
Approximate solution of the Riemann boundary value problem with discontinuous coefficients
p. 91-103
Approximation of analytic functions of two variables by partial sums of Laurent--Faber series
p. 104-108
Analytic pseudo-Riemannian spaces of dimension $n\geq 3$ with polars
p. 109-112
Applications of functions of a~complex variable to calculations of three-dimensional fields
p. 113-116
A~remark on the existence of vector-valued \v{C}eby\v{s}ev systems
p. 117-118
A~Markov chain whose transition matrix is reduced to the normal Frobenius form
p. 119-123
Structural isomorphisms of completely simple semigroups
p. 124-126
Analytic subspaces of spaces over algebras
p. 127-131
Special functions of the theory of rotational diffusion
p. 132-137

Sommaire du Fascicule no. 5

On an extremal polynomial operator
p. 3-8
$P'$-spaces
p. 9-18
On the question of $K_{af}$-linearizing straight lines and planes of differentiable mappings of Euclidean spaces
p. 19-31
The membership of a~mapping in a~certain class
p. 32-38
The existence and uniqueness of a~heavy liquid flow
p. 39-45
Estimate of the solution of an elliptic problem
p. 46-53
Analysis of the conditions of solvability for a~Riemann problem of the second kind
p. 54-60
Classes of projective sets of certain topological spaces of uncountable weight.~I
p. 61-78
A~method for the approximate solution of systems of nonlinear differential equations
p. 79-83
Mappings of Banach lattices of measurable functions
p. 84-86
Extension of the applicability of formulas to negative values of parameters of equations with singular coefficients
p. 87-95
Necessary and sufficient conditions for realizability of the principle of limiting amplitude
p. 96-102
Operational calculus in terms of perfect operators
p. 103-113
An affinely connected space with a~nonsymmetric tensor field
p. 114-123
On the question of complete positivity of powers of matrices
p. 124-126
Analytic surfaces of constant curvature for a~space of nondegenerate null-pairs
p. 127-130
Interpolation of functions with bounded $p$-variation
p. 131-134
A generalization of A.~Tarski's fixed-point theorem
p. 135-137
Compositions of a~vector bundle
p. 138-141
A generalization of the concept of linear convexity
p. 142-144
Properties of various kinds of analyticity for certain classes of complex infinite-dimensional spaces
p. 145-147
General Podkovyrin connections
p. 148-151

Sommaire du Fascicule no. 6

Petr Lavrent'evich Ul'yanov (on the occasion of his fiftieth birthday)
p. 3-5
Estimates for functions that are harmonic in circular multiply connected domains
p. 6-26
Solvability of a~nonlinear boundary value problem for analytic functions
p. 27-35
Introrestrictive factored and bifactored ordered sets
p. 36-50
V.\,K.~Dzjadik's polynomial approximations for solutions of singular integral and integro-differential equations
p. 51-62
Boundary properties of a~two-dimensional integral of Cauchy type
p. 63-72
Central elements of the universal enveloping algebra of the Zassenhaus algebra
p. 73-88
Divergence of a~sequence of linear operations on a~set of second category
p. 89-97
Decompositions of a~projective space
p. 98-101
Parseval's equality
p. 102-108
Heating of the potential flow of an ideal liquid by rigid walls
p. 109-116
An integral of Cauchy type
p. 117-128
Integral equations with generalized logarithmic and power kernels.~III
p. 129-146

Sommaire du Fascicule no. 7

Everywhere convergent Hermite--Fej\'er interpolation processes
p. 3-4
The first integral of geodesic lines and symmetry groups
p. 5-12
An application of the theory of generalized analytic function
p. 13-16
Properties of eigenvalues of positive matrices that are nonlinearly dependent on the parameter
p. 17-20
Factorization and $\gamma$-factorization of functions belonging to a~Wiener ring that are defined on the product of a~circle and the compactified real line
p. 21-32
Classes of projective sets of certain topological spaces of uncountable weight.~II
p. 33-39
Some functional equations in a~Banach space with a~deviating vector argument
p. 40-45
Two topological invariants of metrizable spaces and their connection with dimension
p. 46-50
Conditions for the convergence of a~linearization method
p. 51-56
The Cauchy problem for certain linear multidimensional systems over Gevrey--Leray--Ohya spaces
p. 57-63
Real realization of the conformal correspondence of Riemann spaces over a~Clifford algebra
p. 64-67
The Galerkin method for the solution of equations with discontinuous monotone operators
p. 68-72
The Fourier transform of the functions $\frac{Y_m{\left(\frac{x}{|x|}\right)}}{|x|^{n+{\alpha}}}$
p. 73-78
On the general theory of integration with respect to a~weight in algebras of operators.~I
p. 79-88
A graphic method for finding the Clebsch--Gordan series for a~symmetric group
p. 89-92
Precomplete classes of algorithms that preserve the membership in a~set
p. 93-96
Projection of invariant connections on principal fiber spaces
p. 97-101
Approximate solution of systems of Wiener--Hopf equations with nonzero partial indices
p. 102-105
Distributions on manifolds of parabolic cylinders and ruled geometry
p. 106-108

Sommaire du Fascicule no. 8

Finite unsolvable groups, all terms of whose commutant series have a~unique minimal system of Sylow classes
p. 3-7
Solvability of a~homogeneous nonlinear boundary value problem of power type
p. 8-18
Intrinsic geometry of analytic surfaces of a~space of nondegenerate null-pairs
p. 19-30
An algorithm for constructing an optimally exact derivative of a~function in the class $C_{2,L,N}$
p. 31-40
Unstable group theories
p. 41-44
Well-posedness classes of the Cauchy problem for equations with linearly transformed time
p. 45-49
Best mean approximation of a~cosine series with convex coefficients
p. 50-55
Morphisms of quasihomogeneous structures into Riemannian ones
p. 56-61
On the theory of nonlinear oscillations of thin rectangular plates
p. 62-66
Ideally attainable varieties of inverse semigroups
p. 67-73
The quotient norm of singular operators in the case of a~complex contour
p. 74-79
Finitely attainable varieties of inverse semigroups
p. 80-87
Imbedding of certain classes of functions in $C([0,2\pi]^m)$
p. 88-90
Homogeneous Wiener--Hopf equation in a~class of functions of moderate growth
p. 91-102
Application of the collocation to the solution of linear equations of plate bending
p. 103-108
Subgroups of groups with a~defining relation that are representable in the form of a~direct product
p. 109-118

Sommaire du Fascicule no. 9

A note on a~theorem of Lorentz
p. 3-5
The Schur and Carathйodory classes of functions in the case of several complex variables, and extremal questions in these classes
p. 6-12
Minimal numerations of families of general recursive functions
p. 13-24
Limit values of a~Martinelli--Bochner integral
p. 25-30
The absolute convergence of Fourier series
p. 31-36
Shock-free flow in the vicinity of a~convex corner
p. 37-39
Estimates of the proximity of the solutions of extremal problems in the penalty function method
p. 40-48
Irreducible representations of a~Lie algebra
p. 49-57
Mercer theorems on classes of sequences
p. 58-68
Periodic solutions of linear differential equations with deviating argument
p. 69-75
Two conditions for discreteness in topological groups
p. 76-83
Some generalizations of the concept of productivity of a~set
p. 84-88
Application of generalized quadrature formulas to the approximate solution of operator equations
p. 89-96
On perfect images of feathered spaces
p. 97-101
$g$-metrizable spaces
p. 102-109

Sommaire du Fascicule no. 10

The rate of convergence problem for the one-sided law of large numbers
p. 3-6
Questions on improving the convergence of series in the solution of the Poisson equation
p. 7-10
The Goursat problem over Gevrey spaces
p. 11-23
On a~method of determining the inverse Laplace transformation
p. 24-28
A~sharp estimate of the derivative of an algebraic polynomial at a~point
p. 29-36
Irreducible representations of the Hamiltonian algebra of dimension $p^2-2$
p. 37-46
Factorization of rational functions of several variables into partial fractions
p. 47-51
The relation between the stability of some differential boundary value problems and of the difference problems corresponding to them
p. 52-55
A~criterion for the orthogonality of a~system of trigonometric polynomials
p. 56-60
An attainability property for nonlinear systems on manifolds.~I
p. 61-71
Approximation by entire functions
p. 72-76
The correctness of module
p. 77-82
Operators and operations on the class of univalent functions
p. 83-89
Some questions on the univalence of solutions of inverse boundary value problems
p. 90-94
Interpolation that is optimal with respect to accuracy and minimization of the class of functions $C_{2,L_1,L_2,\dots,L_m\cdot N}$
p. 95-98
Relaxation methods for minimizing pseudoconvex functions
p. 99-101
Semigroups in which every 2-generated subsemigroup is a~transversal
p. 102-104
Quasiconnections and pseudoconnections in a~differentiable bundle
p. 105-107
Measures on the ideals of the orthoprojectors of a~von Neumann algebra
p. 108-109

Sommaire du Fascicule no. 11

Valentin Konstantinovich Ivanov (on the occasion of his seventieth birthday)
p. 3-5
Optimal and quasi-optimal methods for the solution of linear problems that are generated by regularizing algorithms
p. 6-10
The rate of convergence of the method of discrete ordinates in the problem of radiation transfer
p. 11-22
Stable approximation of infinite-dimensional problems of linear and convex programming
p. 23-33
Optimization of the numerical methods of solution of integral equations
p. 34-46
Minimization of the number of operations for linear ill-posed problems
p. 47-54
The principle of a~smoothing functional in the projection method of finding regularized solutions for equations of the first kind
p. 55-62
The variational method for equations with monotone discontinuous operators
p. 63-69
An integer equation that is connected with homogeneous Riemannian spaces
p. 70-73
Regular methods for the solution of nonlinear operator equations
p. 74-86
Multiple decompositions and the theory of distributions
p. 87-97
Approximate solution of implicit operator equations of the first kind by the regularization method
p. 98-103
Helly theorems for convex cones
p. 104-107

Sommaire du Fascicule no. 12

Al'bert Valentinovich Sul'din (on the occasion of his fiftieth birthday)
p. 3-5
Study of the Cauchy problem for quasilinear parabolic systems using Markov random processes
p. 6-17
Introrestrictive factored ordered sets and projective systems of sets
p. 18-32
Optimum sample size in statistical inference procedures
p. 33-45
The structure of the center of the universal enveloping algebra of the Zassenhaus algebra
p. 46-59
The quadrature-interpolation method of solution of singular integro-differential equations with complex conjugate unknowns
p. 60-66
Independence of the solution of boundary value problems from the fundamental basis. Selfadjointness of some problems
p. 67-71
Solution of a~three-dimensional problem of elasticity theory for a~transversally isotropic layer.~II
p. 72-83
Majorant test for the stability of a~control system
p. 84-87
On the general theory of integration with respect to a weight in algebras of operators.~II
p. 88-98
An inverse problem in the theory of supersonic gas flow
p. 99-104
Determination of the pressure field in a~nonuniform layer by the statistical test method
p. 105-108
Spaces in which criteria of the Bochner and L\'evy type are satisfied
p. 109-112
The spectrum of normal and symmetric stochastic matrices
p. 113-116
On the question of the effectiveness of the solution of Riemann's boundary value problem for automorphic functions
p. 117-121