Geodesic

Sommaire du Fascicule no. 1

The approxiamation of functions by certain singular integrals.
p. 3-15
A~complete series of identities for the second covariant derivatives of the curvature tensor
p. 16-17
Affine connections associated with a~quasilinear system of partial differential equations of the first order
p. 18-22
О~численном решении основной смешанной задачи плоской теории упругости
p. 23-28
A parabolic analogue of $A$-spaces
p. 29-38
The magnitude of the best approximation of a~function of several variables by means of polynomials in Haar functions
p. 39-46
Integral inequalities with convex functions
p. 47-49
Certain classes of locally convex topological spaces.~III
p. 50-63
Regular and stable relations on generalized heaps
p. 64-77
The conservation laws for quasilinear systems of four partial differential equations of the first order
p. 78-80
Principal nets of parallel and normal correspondence of surfaces in $E_4$
p. 81-91
Tauberian type theorems for matrix methods of summation of series and their application
p. 92-97
Maximal $\pi$-critical subgroups of a finite group
p. 98-107
The sign of Green's function for an even multipoint difference bondary value problem
p. 108-118

Sommaire du Fascicule no. 2

Cauchy type integrals representing Dirichlet series
p. 3-15
The defect indices of symmetric Jacobian matrices
p. 16-20
The uniform convergence of Fourier series of almost periodic functions
p. 21-26
Some criteria for stability of motion
p. 27-34
The convergence of sequences of polynomials of best mean square approximation for continuous functions
p. 35-48
Almost uniform convergence in $K$-spaces
p. 49-60
On the problem of stability of difference equations
p. 61-67
Tests for unconditional convergence bases
p. 68-74
Some questions on the axiomatics of geometry, pertaining to the independence of the membership, order and congruence axioms.~I.
p. 75-84
The construction of separate classes of regular finite spaces
p. 85-88
The approximation of functions defined on the whole real axis by entire functions of exponential type
p. 89-101
Invariant rigging of surfaces in multidimensional projective space
p. 102-105
A~certain problem for a~higher order equation of mixed type
p. 106-113
The limit distributions of sums of dependent variables
p. 114-121

Sommaire du Fascicule no. 3

Exact estimates for functions harmonic in the disk
p. 3-8
Stabilization of the solutions of a~mixed problem for a~certain class of polyharmonic equations
p. 9-16
A~certain renewal process
p. 17-19
The area of irregular surfaces in spaces of constant curvature
p. 20-27
Order-defining relations in the ordered semigroup of all binary relations in a~finite set
p. 28-36
L. Euler's hypothesis
p. 37-42
On the theory of curves in a~composition space
p. 43-55
A~certain inhomogeneous functional equation
p. 56-67
Some questions on the axiomatics of geometry, pertaining to the independence of the membership, order and congruence axioms.~II
p. 68-74
The resolvent set of the spectral function of an isometric operator with infinite defect indices
p. 75-79
Comparison of the strength of certain $\Delta\Sigma$-operations in connection with the generalization of certain multiple separability theorems.
p. 80-85
Nonassociative systems connected with $\mathfrack L$-transformations
p. 86-95
О~движении газа под действием кратковременного импульса
p. 96-103
$T$ pairs of congruences of planes in $P_5$
p. 104-112
Normal solvability of the Wiener--Hopf equations in certain singular cases
p. 113-118
Viktor Vladimirovich Nemytskii (obituary)
p. 119-121
Letter to the editors

Sommaire du Fascicule no. 4

An isoperimetric problem on the maximum of the moment of inertia
p. 3-5
Approximate solution of a~system of integro-differential equations by means of majorant-minorant functions
p. 6-12
Certain properties of a~class of multiplicative systems and questions of approximation of functions by polynomials in these systems.
p. 13-22
Об инвариантной характеристике пространства, ассоциированного с деформацией тонкого стержня
p. 23-25
The indeterminate equations $x^6+y^6=az^2$, $x^6+y^6=az^3$, $x^4+y^4=az^4$
p. 26-32
Periodic solutions of nonlinear systems of difference equations in two variables
p. 33-39
The ranages of values of typically real functions with fixed coefficients regions
p. 40-47
Approximation in the mean on closed curves
p. 48-53
The approximation of functions by Fourier--Jacobi sums
p. 54-62
The continuous spectrum of a~closed isometric operator and of its minimal unitary extension that goes out of the space
p. 63-69
The anThe analogue of a~certain Tauberian type theorem for infinite products
p. 70-71
A~generalization of a~certain Hilbert type inequality
p. 72-76
Stratifiable pairs of congruences of planes in $P_5$
p. 77-86
Certain nets on a surface $V_2$ in Euclidean space $E_5$
p. 87-96
Special functions related to representations of the group $SU(n)$, of class I with respect to $SU(n-1)$ $(n\ge3)$
p. 97-107
The behavior of integral curves in the infinite part of space
p. 108-112

Sommaire du Fascicule no. 5

Operator identities and certain ordinary linear differential equations of higher orders which are integrable in closed form
p. 3-16
Integral geometry on the $n$-dimensional torus
p. 17-25
An investigation of S.\,N.~Bernshtein's averaged interpolation process in a~closed region
p. 26-29
Estimate of the deviation of a~function from the linear means of certain trigonometric polynomials
p. 30-36
Qualitative investigation of inhomogeneous boundary value problems of de la Vallée--Poussin type.
p. 37-43
Regularization of integral equations of the first kind with a~Green's kernel
p. 44-49
Properties of certain series which are connected with the eigenfunctions and eigenvalues of a~Sturm--Liouville type boundary value problem
p. 50-53
A~family of linear integral operators of a~certain general construction.~I.
p. 54-61
Theorems of Favard and Bohr--Neugebauer for multidimensional differential equations
p. 62-70
An exterior problem of the theory of elasticity in the case of a~homogeneous anisotropic medium
p. 71-79
A~class of spectral functions of a~closed isometric operator with finite defect indices
p. 80-85
Asymptotic expansions of Hankel transforms
p. 86-90
Геометрическая интерпретация и обобщение одной теоремы Ляпунова
p. 91-96
Approximation of functions in infinite intervals by asymptotic polynomials of the second type
p. 97-101

Sommaire du Fascicule no. 6

An application of close-to-convex functions to inverse boundary value problems
p. 3-10
Two theorems on the existence of a~quasi-basis of a~family of quasi-measures
p. 11-18
A~certain property of a~surface of constant mean curvature
p. 19-20
A~theorem of Sidon on lacunary Fourier series
p. 21-27
A~basis in a~space of entire functions of finite order
p. 28-34
Boundedness of pseudodifferential operators in $L_p$
p. 35-44
Linear summation methods of double Fourier series
p. 45-54
A~family of linear integral operators of a~certain general construction.~II
p. 55-68
An example of two metrically nonisomorphi ergodic automorphisms with the same simple spectrum
p. 69-74
Existence of periodic solutions of a~system of three differential operators
p. 75-76
Об~асимптотическом разложении и устойчивости решений дифференциальных уравнений первого порядка
p. 77-83
A~certain property of the conformal radius
p. 84-89
An equation of neutral type with a~small retardation dependent on the unknown function
p. 90-97
A~local method for constructing generalized functions
p. 98-103
$A$-connections which can be defined by dual algebras
p. 104-114
The connection between the growth of functions of order zero which are entire or analytic in a~disc and their power series coefficients.
p. 115-121
A~metrization theorem
p. 122-124

Sommaire du Fascicule no. 7

A~theorem of G.~Higman
p. 3-9
Finite nonsolvable groups with abelian third maximal subgroups
p. 10-15
Second order cylinders of biaxial space
p. 16-23
The resolvents of an isometric operator with equal defect numbers
p. 24-29
Solution of boundary value problems for equations with singular coefficients
p. 30-36
The stability of solutions of a~certain class of linear differential equations
p. 37-41
Linear methods of approximation of bounded functions of two variables relative to a~Hausdorff type metric
p. 42-50
A~certain method of finding periodic solutions of a~system of differential equations
p. 51-55
Integral inequalities of Wirtinger type
p. 56-60
Sums of series in Chebyshev polynomials
p. 61-69
The approximation of functions given on the exterior of an interval and on a~half axis by Bochner--Fejér integrals
p. 70-77
The approximation of functions in the mean by Fourier--Hermite sums
p. 78-84
Certain covering theorems for univalent functions
p. 85-92
Riemannian spaces with intransitive automorphism group
p. 93-96
A~method of finding limit cycles
p. 97-107

Sommaire du Fascicule no. 8

Holomorphs of unreduced abelian groups
p. 3-10
A~condition which is necessary for a~group to coincide with the commutant.
p. 11-17
A~generalization of the theory of linear polynomial operations to a~complex region
p. 18-25
The approximation of continuous functions of two variables by trigonometric polynomials
p. 26-34
Finite Hankel-Sobolev integral transforms. Representation of the solutions of boundary value problems of mathematical physics in integral form
p. 35-40
Oscillations in relaxation systems with moving boundaries
p. 41-44
On the homomorphic representations of semi-groups.~II
p. 45-53
Riemannian, pseudo-Riemannian and quasi-Riemannian $A$-spaces
p. 54-62
The problem of finding the characteristic set in certain special cases
p. 63-72
Various cases of inverse boundary value problems
p. 73-79
Certain systems with transformed argument of neutral type
p. 80-87
The influence of counter-pressure on a~motion which has been produced in an inhomogeneous atmosphere by a~short-term plane shock
p. 88-95
The cycles of a~certain differential equation
p. 96-102
Certain imbeddings of ordered semigroups
p. 103-112

Sommaire du Fascicule no. 9

The duality of a~compact commutative semigroup variety
p. 3-12
Some criteria for the Hilbertness of a~space
p. 13-15
Some questions of the theory of approximate methods.~I
p. 16-28
Plural quadratic noneuclidean spaces and their application to the theory of real quadrics
p. 29-35
A~truncated matrix power moment problem
p. 36-43
On extending Frommer's method of investigation of a~singular point to a~system of three differential equations
p. 44-54
The set of limit points of a~subsequence of the partial sums of a~series with complex terms
p. 55-68
Automorphisms of quadrics in a~noneuclidean space which can be represented by motions of plural noneuclidean spaces
p. 69-77
Certain imbedding theorems in Orlicz spaces
p. 78-85
Polynomial approximation in the mean in certain non Carathéodory regions.~I
p. 86-93
An application of the symmetry method in solving a~certain linear conjugacy problem.
p. 94-105
A~conjugacy problem for equations of elliptic type
p. 106-111
Solutions of the differential equation $y''-sp(x)y=0$ which are bounded on the half axis. Applications
p. 112-122
Letter to the editors
Mongim Shakurovich Aminov (obituary)
p. 123-124

Sommaire du Fascicule no. 10

Some applications of integro-differential operators of arbitrary order in the theory of approximation of functions
p. 3-12
Some aspects of analytical dynamics in grouped variables
p. 13-16
A~certain criterion for instability in the critical case with an even number of zero roots
p. 17-20
Some questions of the theory of approximate methods.~II
p. 21-29
Minimal biideals of an operative
p. 30-41
A~localization principle and limit ratios for polynomials which are orthogonal on the unit circle
p. 42-53
Some entire solutions of an equation of infinite order in generalized derivatives
p. 54-62
Operations which are obtainable by a~combination of chains of $(\mathfrak v)S_N$-operations
p. 63-71
Certain estimates for translation-invariant operators in $L_p$-spaces with weight
p. 72-80
S.\,N.~Bernshtein's limit theorem for best approximations in the mean, and some of its applications
p. 81-86
Polynomial approximation in the mean in certain non-Carathéodory regions.~II
p. 87-94
Смешанная осесимметричная задача термоупругости для трансверсально-изотропного цилиндра конечной длины
p. 95-99
The behavior of the solutions of certain linear differential equations in Hilbert space for large values of the argument
p. 100-107

Sommaire du Fascicule no. 11

Banach spaces of set functions and the analytic representation of certain classes of linear operators.~I
p. 3-11
Criteria for the extendability of positive linear functionals.
p. 12-18
The bases of the symmetric group
p. 19-25
Algebraic questions in the general theory of partial connections in fibered spaces
p. 26-40
A~transformation of the system of differential equations of a~perturbed motion in the critical case with an even number of zero roots
p. 41-47
A~certain property of quadratic conjugate nets
p. 48-50
Fractional derivatives of functions bounded on the axis
p. 51-69
A~refinement of the asymptotic formulas of G.~Szeg\"o and S.\,N.~Bernshtein
p. 70-82
The Fourier integral and the continuity of functions of bounded $p$-variation
p. 83-92
Certain geometric objects of a~multidimensional surface in nondegenerate noneuclidean spaces
p. 93-104
The convergence of collocation type methods for ordinary integro-differential equations
p. 105-113
Boundary value problems with shift in a~class of generalized analytic functions on closed Riemann surfaces
p. 114-120
Approximation by entire functions on the exterior of a~segment and the half-axis
p. 121-130
Numerical differentiation
p. 131-134
The Ritz method in the eigenvalue problem for discrete systems
p. 135-139

Sommaire du Fascicule no. 12

An application of the principle of the argument to the study of univalence conditions.~I
p. 3-15
Banach spaces of set functions and the analytic representation of certain classes of linear operators.~II
p. 16-23
Strong summability of Fourier series in multiplicative systems
p. 24-28
The oscillations of a~fluid in a~rectangular basin
p. 29-34
Oscillations of a~pin in a~bearing
p. 35-44
The normalization of discrete equations of convolution type
p. 45-52
The stability of quasiharmonic systems with retardation slowly changing in the time
p. 53-61
The connectivity of a~complete smooth surface with one-to-one spherical representation
p. 62-69
The one-dimensional generalized Sturm-Liouville problem
p. 70-81
Representations of $n$-relation algebras into binary relation algebras
p. 82-91
Vector-valued measures
p. 92-101
Topological invariance of classes of sets of complete regular uniform spaces
p. 102-107
Separation of a~multidimensional diffusion process by the method of coordinate transformation
p. 108-116
The representation of semigroups by partial transformations
p. 117-121
An application of certain inequalities to the investigation of the problem of minimizing a~certain integral
p. 122-129