Geodesic

Sommaire du Fascicule no. 1

Approximation of a~class of functions of several variables by certain polynomial operators
p. 3-9
Solution of differential equations of polynomial form by a~modified method of Newton diagrams
p. 10-20
Criteria for membership in Gevrey spaces
p. 21-24
On the question of non-uniqueness of selfsimilar solutions in the problem of a~convergent shock wave
p. 25-29
Approximate solution of multidimensional singular integral equations.~II
p. 30-41
Four-dimensional Bol webs of parabolic type
p. 42-47
Stability estimates for the solutions of operator equations of the first kind by the method of regularization
p. 48-54
Multidimensional three-webs of maximal rank
p. 55-63
The best approximation of a certain class of differentiable functions by algebraic polynomials
p. 64-74
Distribution of the discrete spectrum of singular differential operators
p. 75-86
Invariant criteria for special compositions in Weyl spaces
p. 87-99
Derivations of certain nilpotent Lie algebras
p. 100-110
A~test of the rigidity of a~convex surface of revolution under conical sliding constraints
p. 111-115
On the theory of two-dimensional surfaces in a~biplanar space B5
p. 116-119
On the approximate solution of certain boundary value problems with shift
p. 120-123
P-continued fractions. Interpolation by continued fractions
p. 124-128
A~certain invariant subalgebra in the Hamiltonian and the contact Lie algebra
p. 129-131

Sommaire du Fascicule no. 2

Solution of nonlinear singular integral equations by the method of reduction
p. 3-13
The functions of the second kind that correspond to \v{C}eby\v{s}ev--Hermite polynomials
p. 14-22
Some classes of primary abelian groups that are almost isomorphic with respect to fully characteristic subgroups
p. 23-30
On the question of constructing a piecewise holomorphic function with a~countable number of singular curves
p. 31-32
Operator power series
p. 33-38
Nonlinear scalar equations that depend on parameters
p. 39-43
Singular integral equations in a~Stepanov space
p. 44-51
The divergence of interpolation processes at a~fixed point.~II
p. 52-63
An inequality for the norms of a~function and of its derivatives
p. 64-68
Subsemigroup graphs, and lattices of subsemigroups
p. 69-78
Periodic solutions of systems of linear differential equations with slowly varying coefficients
p. 79-91
Zur Eindeutigkeit des Polynoms bester Approximation im Raum M (Q)
p. 92-96
Introduction of a global radial coordinate system in the method of travelling waves
p. 97-100
A~certain case of a~jet stream of ideal fluid
p. 101-104
Left idealizers of subsemigroups, and the structure of semigroup
p. 105-107
Superhypersimple sets
p. 108-110
Application of the theory of regular hyperbands to the study of the geometry of multidimensional surfaces in a~projective space
p. 111-113
Projective mapping, and special types of spaces of linear elements with general connection.~II
p. 114-118
The set of values of a~singular integral operator on a~special case
p. 119-122
Letter to the editors

Sommaire du Fascicule no. 3

Some quadrature and cubature formulas for singular integrals
p. 3-12
The computation of the subharmonics of nonautonomous systems
p. 13-17
A tape hierarchy in the class of homogeneous multi-tape autonomous machines with an input that operates in real time
p. 18-22
Solution of the Dirichlet problem for a certain degenerate quasilinear second order equation of elliptic type
p. 23-32
The problem of selecting two objects with minimal total rank
p. 33-42
Rational-fractional approximation of singular integrals over the real line
p. 43-55
Some transformations of continued fractions
p. 56-64
Some generalizations of the notions of reducibility and creativity
p. 65-72
Orthogonal compositions in Weyl spaces
p. 73-85
Construction of a~theory of majorants and Newton diagrams for Dirichlet series
p. 86-94
The logarithmic method for the summability of numerical double series
p. 95-98
A~problem of P.\,L.~Ul'janov
p. 99-102
A~category of reducible two-sheeted structures
p. 103-105
The set of absolute convergence of a~series of analytic functions
p. 106-108
The set of limit points of the sequence of arithmetic means of a~numerical series
p. 109-112
Some problems of singular perturbations in the nonlinear filtration of a~compressible fluid
p. 113-116

Sommaire du Fascicule no. 4

Approximation of continuous functions by Lagrange interpolation polynomials with respect to \v{C}eby\v{s}ev nodes
p. 3-16
A~class of linear operators in a~Banach space.~I
p. 17-26
An inequality for a~certain nonlinear difference boundary value problem
p. 27-37
Conditions for similarity to the operator I2 in terms of the characteristic matrix-valued function
p. 38-46
The method of mechanical quadratures for systems of singular integral equations
p. 47-55
Sums of automorphisms of abelian groups, and the Jacobson radical of the endomorphism ring
p. 56-66
Topological semigroups with certain types of lattices of closed subsemigroups
p. 67-73
The method of approximate factorization
p. 74-86
Some iteration methods for the approximate solution of operator equations, and their application
p. 87-94
Simple bifibrations
p. 95-104
The dependence of hypersurfaces of conjugate types on the conjugate orders for certain classes of entire functions of several variables
p. 105-121
The approximate solution of nonlinear singular integral equations
p. 122-125
Study of Lagrange interpolation processes under a~change in the system of nodes
p. 126-129
A~relaxation method for the linearization of the approximate solution of functional equation
p. 130-133

Sommaire du Fascicule no. 5

Multiplication of varieties of linear Ω-algebras
p. 3-14
Hermitian splines and related quadrature formulae for certain classes of differentiable functions
p. 15-28
A~class of linear operators in a~Banach space.~II
p. 29-36
Some properties of the δ-projection in normed linear spaces
p. 36-42
Stability of the solutions of interior inverse boundary value problems
p. 43-53
The solution of a~system of linear finite difference equations by the projection-iteration method
p. 54-64
Some properties of functions that are expressed by their coefficients and their Fourier transforms
p. 65-78
Finite measures in an approximatively finite factor
p. 79-85
On the question of the summability of Fourier integrals
p. 86-91
On the study of infinite systems of equations in plane elasticity problems for a class of infinite doubly connected domains
p. 92-98
Differential equations for certain orthogonal polynomials
p. 99-103
The topological classification of singular dynamical systems on the torus
p. 104-107
A~paired integro-difference operator with vanishing symbol in the space Lp(−∞,∞)
p. 108-111
A~generalization of the theory of areolar derivatives
p. 112-115
Horizontal paths and evolutes in the theory of gravitation
p. 116-118
The second boundary value problem without initial conditions for the heat equation in the Hilbert ball
p. 119-123
Geodesic vector fields in a~two-dimensional space with affine connection of two dimensions.~I
p. 124-126

Sommaire du Fascicule no. 6

Some criteria for the interval completeness of normed lattices
p. 3-8
Quasiclassical energy levels of a~diatomic molecule in a~magnetic field
p. 9-13
Сферы Фубини и их обобщения
p. 14-19
Optimal methods for the solution of certain classes of linear problems
p. 20-35
Representation of the tensor form of the equations of motion of rheonomic systems in nonholonomic rheonomic coordinates
p. 36-44
The smoothness of the solutions of second order quasilinear elliptic systems
p. 45-61
The definability of an abelian group by its inverse semigroup of local automorphisms
p. 62-65
A generalization of the notion of convex curve
p. 66-69
О резольвенте полуограниченного интегро-дифференциалного оператора
p. 70-72
Elements of approximation theory in locally convex topological spaces
p. 73-76
The motion of mechanical systems in noninertial reference frames
p. 77-80
The motion of a~cylinder under the free surface of a~fluid
p. 81-90
Integral equations with generalized logarithmic and power kernels
p. 91-104
Convergence of the collocation method and of the method of mechanical quadratures for systems of singular integral equations
p. 105-108
Approximate solution of singular integral equations with complex conjugate unknowns
p. 109-113
Congruences of semigroups
p. 114-117
Regular φ-spaces of the general linear group
p. 118-121
A generalization of Newton's method for computing the roots of algebraic polynomials
p. 122-124
О геодезических векторных полях пространства аффинной связности двух измерений,~II
p. 125-127

Sommaire du Fascicule no. 7

The spectrum of a~singular string
p. 3-10
On the question of the uniqueness of the weak solution of an equation with operator coefficients
p. 11-21
The integration of nonlinear equations of flexible oscillations of thin shells of constant curvature
p. 22-29
The class of systems of Rademacher type
p. 30-43
Equations of motion for a~point and a~body of variable mass in Loba\v{c}evski\~{i} space
p. 44-49
On a~problem about the density of the polynomials of a~definite form in the space of continuous functions on the boundary of the domain in Cn
p. 50-51
Probabilistic proof of combinatorial identities
p. 52-55
The norms of linear and nonlinear metric projections
p. 56-64
Some inequalities for trigonometric polynomials in the Lp metric, 0
p. 65-75
A~connection on surfaces in spaces with a~flag-affine or biflag-affine connection
p. 76-82
Fox integral equations with coefficient λ−eimx in a~space of generalized functions
p. 83-90
Majorants of functions of the classes~A and Hδ
p. 91-95
Estimates of the modulus of continuity of certain differential operators
p. 96-99
Cubature formulas for singular integrals
p. 100-105
The lattice of varieties of inverse semigroups
p. 106-109
Application of the method of parametric differentiation to solve the problem of transonic flow around a thin profile
p. 110-113
The almost everywhere divergence of Lagrangian interpolation processes constructed on Laguerre nodes
p. 114-116
A~convergent linear-fractional integral of the geodesics in two-dimensional affinely connected spaces.~II
p. 117-118

Sommaire du Fascicule no. 8

Δ-functionals and an integral with respect to a~continuous outer measure
p. 3-8
The method of subregions for integral equations
p. 9-15
A~formula for taking a~power of a~product of two elements of an associative ring
p. 16-27
Selection of a~subclass of optimal controls in a~sublattice
p. 28-31
Characteristic singular equations in the case of a~countable set of contours
p. 32-41
On the question of the similarity of quasitriangular matrices in the space of analytic functions in the disc
p. 42-51
Convergence of the derivatives of linear operators
p. 52-59
A~ternary physical structure of rank (2,2,2)
p. 60-67
Riemannian submanifolds of a~Weyl space
p. 68-73
On the solution of an inverse mixed problem of filtration theory for neighboring areas
p. 74-80
The equivalence of the properties of commutative factorizability and reducibility of linear differential operators
p. 81-84
A~modified Tricomi problem for a~system of Lavrent'ev--Bicadze equations
p. 85-93
Continuation of Lipschitzian mappings (the question of uniqueness)
p. 94-95
The applicability of the projection method to Toeplitz operators in an lp space with a~weight
p. 96-99
A~method of two-sided approximations for a~search for the optimum with constraints of equality type
p. 100-103
The complete lift of the tensor algebra from a~manifold to its space of 2-jets
p. 104-106
Submanifolds with a~parallel p-dimensional subbundle of the normal bundle
p. 107-110

Sommaire du Fascicule no. 9

The asymptotic integration of systems of ordinary differential equations with polynomials in the right-hand side
p. 3-11
A~question of P.~Conrad
p. 12-24
Ordered p-spaces
p. 25-36
An algebra that is generated by distributions
p. 37-42
Применение метода малого параметра к~решению нелинейных дифференциальных уравнений сферической оболочки
p. 43-49
Quasinorms on an infinite product of Banach spaces, and the spaces generated by them
p. 50-63
On the determination of the characteristic exponents of an nth order linear differential equation with periodic coefficients and a~small parameter
p. 64-69
Sufficient conditions for the asymptotic stability of a~second order differential equation with retarded argument
p. 70-75
An electric field in a magnetohydrodynamic channel of a~rectangular cross section with finite electrodes in the presence of the Hall effect
p. 76-86
4-webs of curves in space
p. 87-91
The solution of higher order quasilinear equations with an unbounded nonlinearity
p. 92-98
A~study of the continuous solutions of the Cauchy problem in the neighborhood of a~branch point
p. 99-110
The Cauchy and Goursat problems for a~system of equations of plane homogeneous flows
p. 111-116
Some remarks on N.~Saltikov's method
p. 117-124
The choice of the regularization parameter in ill-posed control problems
p. 125-127
Infinitesimal transformations in the tangent bundle with the complete lift metric and the Sasaki metric
p. 128-132

Sommaire du Fascicule no. 10

The branching of the solutions of nonlinear boundary value problems for differential equations with a~parameter
p. 3-12
The number of switchings in a~certain optimal control problem
p. 13-16
The computation of the periodic solutions of nonautonomous systems with several degrees of freedom
p. 17-21
An application of the theorem of Bohnenblust and Karlin to certain boundary value problems for ordinary differential equations with discontinuous right-hand side and deviating arguments
p. 22-28
The conjecture of A.~Mąkowski
p. 29-31
The minimal polynomial for a~central element of the universal enveloping algebra of a~Witt algebra
p. 32-41
Conservation laws for the equation of the longitudinal oscillation of a~rod
p. 42-46
A~property of singularly perturbed differential operators with almost periodic coefficients
p. 47-51
Adjoint operators
p. 52-55
A~generalization of the Dresden conditions for discontinuous solutions of variational problems
p. 56-64
An example of an unbounded singular integral
p. 65-69
The local definition of a~generalized function by means of nonstandard analysis
p. 70-73
The theorems of Fatou and Lebesgue for sequences and systems of finite subsets in lattices
p. 74-78
Simplexes of commuting symmetric stochastic matrices
p. 79-82
A~correspondence between a~ratio of power series and continued fractions
p. 83-92
Homeomorphic solutions of a~certain degenerate elliptic system
p. 93-96
On the problem of a~jet flow around an elastic shell
p. 97-100
The discretization of variational methods for the solution of ill-posed problems
p. 101-104
Some linear convergent processes that are generated by periodic functions of two variables
p. 105-108
Homogeneous generalized functions in local fields
p. 109-112
The approximation of functions with a~given rate of convergence
p. 113-115
Some infinite noncoalition games for a~certain problem of exploiting petroleum deposits
p. 116-119
The regularization of unstable extremal problems in locally convex spaces
p. 120-123

Sommaire du Fascicule no. 11

The solution of a~problem of Tricomi type for the Lavrent'ev--Bicadze equation with discontinuous pasting conditions
p. 3-12
Optimal algorithms for the approximate solution of singular integral equations
p. 13-23
The Wiener points of regular summability methods
p. 24-31
Counter-examples to Zoutendijk's algorithms in methods of feasible directions
p. 32-37
A projectively invariant class of manifolds of nondegenerate null pairs in multidimensional projective space
p. 38-47
Affine connections on the normalized manifold of planes in a~projective space
p. 48-55
A study of the Riemann surfaces of certain double integrals that depend on one complex parameter. I.~Regular stratification of the singularities
p. 56-65
A generalization of a~certain theorem of S.~Tachibana
p. 66-70
Обобщение метода Трефтца для пространственных задач теории упругости и минимизация функционалов Трефтца вариационно-разностным методом
p. 71-79
Transformation groups that preserve the set of generalized trajectories
p. 80-86
Nonnilpotent subgroups of finite groups
p. 87-97
A remark on the problem locating the eigenvalues of real matrices
p. 98-100
Surfaces that carry conjugate k-webs
p. 101-104
Approximate solution of a~certain class of singular integral equations with shift
p. 105-108
К прямым методам решения одного класса сингулярных интегральных уравнений
p. 109-111
Three-webs with~partially skew-symmetric curvature tensor
p. 114-117
О решении одного класса задач гидродинамики
p. 118-120

Sommaire du Fascicule no. 12

On the unsteady gas flow in Laval nozzles
p. 3-10
A class of discretely controlled systems, and their numerical characteristics
p. 11-20
Invariant manifolds of certain point mappings
p. 21-29
On the question of the controllability of nonstationary systems.~I
p. 30-37
Normed rings of functions defined on the closure of Rn that is homeomorphic to the torus Tn
p. 38-50
A~third order iterative method for the solution of nonlinear functional equations
p. 51-56
Difference schemes for certain boundary value problems for the biharmonic equation on a~polar net
p. 57-65
A~study of the Riemann surfaces of certain double integrals that depend on one complex parameter.~II. The Riemann surface of the element Iτ(t)
p. 66-76
Generalized characteristics of certain classical Riemannian manifolds
p. 77-81
Approximation of functions by splines that are interpolational in the mean
p. 82-95
The creation of a~periodic solution in systems of differential equations with lag
p. 96-107
Convergence of quadrature processes for a~singular integral
p. 108-118