Geodesic

Sommaire du Fascicule no. 1

The separatrices of a certain class of differential equations
p. 3-8
An estimate of the absolute values of the derivatives of an algebraic polynomial on the complex plane
p. 9-13
Об одной задаче статики тонких гибких стержней
p. 14-19
The order of growth of a~certain function sequence
p. 20-25
The nonstationary integro-differential transport equation
p. 26-31
Topological $k$-linear spaces
p. 32-35
A~theorem on the representation of functions by series of polynomials
p. 36-46
Dual integral equations of convolution type with kernels which depend on a~linear function
p. 47-52
The curvature of a~semi-Riemannian space
p. 53-59
Tests for boundedness of the solutions of a~certain mixed boundary value problem for a~second order hyperbolic equation in a~Banach space
p. 60-66
A~general singular operator and an integral operator with automorphic kernel
p. 67-77
Multipliers of Fourier series
p. 78-88
Asymptotic properties of positive methods of summation of double Fourier series
p. 89-96
Linear fractional transformations of the upper half plane of operators
p. 97-105
The approximation of functions in $\mathbf C^m$ by means of a~system in $\mathbf C^{m+s}$ which is orthonormalized in $L^2$
p. 106-108
Letter to the editors
p. 109-110

Sommaire du Fascicule no. 2

Certain properties of point correspondences between hypersurfaces of projective spaces
p. 3-13
A~certain class of spaces over plural algebras
p. 14-22
The finitary approximability of separable naturally linearly ordered commutative semigroups
p. 23-31
Nonlinear connections of higher orders
p. 32-44
A~generalization of a~composite quadrature formula of S.\,M.~Nikol'skii
p. 45-53
A~certain $n$-dimensional nonregular problem of the calculus of variations
p. 54-62
A~certain interpretation of unitary space of constant curvature
p. 63-71
Congruences on semigroups
p. 72-78
The principle of triality in quasi-elliptic and quasi-hyperbolic spaces
p. 79-87
Certain problems of filtration of a~fluid with unknown boundaries
p. 88-98
$L$-functions of a~local field, and a~real quadratic field
p. 99-105
Linear methods of summation of double Fourier series
p. 106-116
Linear fractional transformations in a~space with involution
p. 117-126

Sommaire du Fascicule no. 3

An application of the principle of the argument to the study of univalence conditions.~II
p. 3-15
Determination of a~surface deformation by mean and Gaussian deformations
p. 16-20
Crossed-inverse quasigroups ($CI$-quasigroups)
p. 21-27
The method of integral equations in the problem of periodic solutions of ordinary differential equations
p. 28-34
The order of the best approximations of certain classes of functions
p. 35-41
A~sharpening of the estimate of a~certain trigonometric sum
p. 42-51
On the theory of inversive semirings
p. 52-60
A~certain general Tauberian type theorem for absolute summability of series, and its application to the Borel method
p. 61-65
A~certain class of linear differential operators of infinite order
p. 66-71
Infinitely small conformal deformations of closed surfaces of positive Gaussian curvature
p. 72-77
A~solution of a~certain Riccati differential equation by means of a~Stieltjes continued fraction
p. 78-85
Functional Volterra inequalities
p. 86-95
The factorization of operators in a~decomposable Banach space
p. 96-103
Certain conditions for the extension of generalized heaps
p. 104-106
Solution of the Cauchy problem for the heat equation
p. 107-117
Solids of infinite foldability
p. 118-126
Letter to the editors

Sommaire du Fascicule no. 4

Binary-decomposable categories
p. 3-13
A~certain model of L.\,V.~Kantorovich
p. 14-16
The geometry of the dynamics of a~point of variable mass
p. 17-21
The limits of applicablility of Cantor's diagonal method
p. 22-23
The convergence of the method of straight lines for fourth order elliptic equations
p. 24-27
The asymptotics of the solutions of a~certain system of differential equations
p. 28-30
A~formula for the inversion by parts of a~certain linear operator, and certain of its applications
p. 31-37
Chebyshev sets, continuity of the metric projection and certain geometric properties of the unit sphere in a~Banach space
p. 38-46
The smoothness of convolution operators
p. 47-58
The best mean square approximation, by polynomials and by entire functions of finite degree, of functions which have algebraic singular point
p. 59-61
Quasisimple algebras, quasimatrices and spin representations of quasinoneuclidean motions
p. 62-73
The existence of the solution of boundary value problems for the equation $y''=f(t,y)$ with discontinuous right hand side
p. 74-76
A~connection between topological transitivity and ergodicity
p. 77-82
Transfer of a~theorem on difference inequalities to boundary value problems with a~condition at infinity.
p. 83-91
A~certain nonlinear boundary value problem
p. 92-102
Algebraic independence of values of certain $E$-functions
p. 103-112

Sommaire du Fascicule no. 5

Asymptotic estimates of the solutions of a~certain class of second order nonlinear integro-differential equations
p. 3-13
О сохранении разрешимости граничных задач теории пологих оболочек при приведении их к интегральным уравнениям
p. 14-19
Certain classes of locally convex topological spaces.~IV
p. 20-29
The approximation of continuous periodic functions of two variables by trigonometric polynomials
p. 30-34
Certain conditions for the stability of the solutions of second order linear differential equations
p. 35-41
Operator-differential equations with deviating argument
p. 42-48
A~truncated matrix trigonometric moment problem
p. 49-57
Expansion of meromorphic functions with multiple poles in Newton type interpolation series of rational functions
p. 58-60
Equationally normal varieties of semigroups
p. 61-68
Effectiveness of the method of parametric localizations of zeros of functions
p. 69-72
Restrictive bisemigroups of quasi-single-valued binary relations.~I
p. 73-84
On the question of the approximation of functions by de la Vall\'ee-Poussin means
p. 85-98
The solutions of the equation $y''-sp(x)y=0$ which are bounded on the half axis, and the Cauchy problem for the heat equation
p. 99-113
A~method of successive approximations for periodic solutions of differential equations of nonlinear vibrations
p. 114-125

Sommaire du Fascicule no. 6

The expansion of almost periodic functions in series of almost periodic functions with bounded spectra
p. 3-8
Extremal problems for certain classes of analytic functions.
p. 9-16
The existence of bounded solutions of nonlinear integro-differential equations
p. 17-23
Certain questions in the theory of the stability of systems of Volterra integral equations.~I
p. 24-34
Projective space structures that can be generated by affinors
p. 35-46
Linear operators in perfect spaces of functions.~I
p. 47-57
Certain sufficient conditions for instability of the solutions of second order linear differential equations
p. 58-61
Extremal estimates of the derivatives of a~trigonometric polynomial on an interval shorter than the period
p. 62-66
The differentiability of functions
p. 67-70
Systems with transformed argument in the case when the transformations of the argument are measurable with respect to time
p. 71-79
A~class of functions for which a~given summation method yields the best order approximation.~III
p. 80-87
Chaplygin type equations in magnetogasdynamics
p. 88-97
A~class of positional operatives
p. 98-105

Sommaire du Fascicule no. 7

The spectral functions of a certain integral operator with Carleman kernel
p. 3-12
A~certain property of a~linearly independent system of functions which does not form a~Chebyshev system
p. 13-19
The order of approximation of continuous functions by certain linear methods of summation of Fourier series
p. 20-27
Certain questions in the theory of the stability of systems of Volterra integral equations.~II
p. 28-38
Structural and constructive properties of sine and cosine series with monotone sequence of Fourier coefficients
p. 39-47
The reduction of a~system of difference equations with periodic coefficients
p. 48-53
Multiplicative transformations of Fourier integrals in $L^p$ spaces with weight
p. 54-58
A~geometric meaning of conjugate directions of a~Grassmann manifold
p. 59-64
On the question of the existence of a~solution of an integral equation with discontinuous operator
p. 65-69
The reducibility of certain systems with periodic and quasiperiodic matrices
p. 70-73
Values of the characteristic function of an isometric operator on the boundary, and the spectrum of its bounded orthogonal extension
p. 74-78
A~certain method of investigation of the matrix elements of group representations
p. 79-86
Аэродинамика и теплообмен закрученной струи, распространяющейся в безграничном пространстве, затопленном той же жидкостью
p. 87-95
The manifold $M_{n-1}$ ($L_{n-1}$) in the $n$-dimensional equiaffine space~$E_n$
p. 96-100
On the theory of infinite systems with retardations
p. 101-107

Sommaire du Fascicule no. 8

Selfadjoint differential equations and a~certain class of Euler equations
p. 3-9
On the theory of interpolation of a~function of a~real variable
p. 10-16
Conditions for the dissipativity of normal systems of ordinary differential equations
p. 17-25
The regularization of operator equations of the first kind
p. 26-29
The number of solutions of exterior inverse boundary value problems
p. 30-32
The Cauchy problem for certain integro-differential equations
p. 33-46
The convergence of Bubnov--Galerkin approximations in the problem of nonlinear oscillations of a~thin plate with allowance for rotational inertia
p. 47-51
Solution of a~plane electrostatic problem for two contours
p. 52-63
A~multidimensional equation of convolution type whose symbol has singularities of the form of a~complex power function of a~linearly homogeneous cone
p. 64-74
The trigonometrical analogue of a~problem of E.\,I.~Zolotarev
p. 75-88
Relativized semigroups of transformations containing the first projective relation~$\underset1\chi$
p. 89-103
The intrinsic geometry of two classes of plane multidimensional nets in projective space
p. 104-111
Integral points on circular cones
p. 112-116
A~certain compactness criterion in the Banach space~$C^{l+\alpha}[0,1]$
p. 117-118

Sommaire du Fascicule no. 9

A~theorem on the solvable subgroups of a~finite unsolvable group
p. 3-10
Remarks on the nuclearity of integral operators and the boundedness of pseudodifferential operators
p. 11-17
A~remark on the representation of an infinitely differentiable function by a~sum of two quasianalytic functions
p. 18-22
Point correspondences between two $P_n$'s with harmonic characteristic configuration
p. 23-29
The properties of certain systems of orthogonal polynomials
p. 30-36
On the theory of lifts of tensor fields from a~manifold into its tangent bundle
p. 37-46
On the question of the integration of equations with singularities in the space~$K'$
p. 47-52
A~remark on the possibility of improving a~priori estimates for the solution of Euler's equation
p. 53-55
Discontinuous solutions of two-dimensional problems of the calculus of variations in nonparametric form
p. 56-64
Rings over which any finitely generated flat module is projective
p. 65-73
The optimal interval of interpolation by Lagrange polynomials
p. 74-75
О приближении непрерывных и дифференцируемых функций полиномами Штурма--Лиувилля
p. 76-88
Certain properties of zero-dimensional uniform spaces of weight~$\tau$
p. 89-94
A~transformation of the parabolic equations with are used in fluid mechanics
p. 95-108
Об одном сингулярном интегральном уравнении, связанном с группой итераций алгебраической функции
p. 109-120

Sommaire du Fascicule no. 10

The branching of periodic solutions of differential equations with lag.~I
p. 3-10
Certain positive linear operators
p. 11-20
An application of asymptotic polynomials to the problem of the approximate determination of the eigenvalues and eigenfunctions of Fredholm integral equations
p. 21-27
An integral Lipschitz condition for functions of several variables
p. 28-32
Operations with bases that can be obtained as the union of chains of a~basis of a~$(v)A$-operation
p. 33-39
The order of approximation of a~continuous $2\pi$-periodic function by linear methods
p. 40-50
Waves due to variable pressure on the surface of a~fluid of finite depth
p. 51-61
The almost periodic solutions of quasiharmonic systems with lag
p. 62-69
Pseudofocal families of $d$-planes in $P_n$
p. 70-77
A~majorant estimate of the solutions of a~certain form of integro-differential equations
p. 78-80
Remainder estimates of interpolation, and convergence of interpolation processes
p. 81-89
A~theorem on normal proofs in the theory of regular formulae
p. 90-96
Properties of the solutions of a~degenerate elliptic system of equations of the type of the Tricomi equation.~I
p. 97-106

Sommaire du Fascicule no. 11

The branching of periodic solutions of differential equations with lag.~II
p. 3-12
The convergence of Lagrange interpolation polynomials in the complex domain
p. 13-23
Localized categories
p. 24-36
The differentiability of continuous functions which satisfy certain functional relations
p. 37-43
Analytic solutions of the Euler equation of infinite order
p. 44-52
A~classification of functions connected with the motions in dynamical systems
p. 53-60
$T$ pairs of three-parameter families of planes in $P_5$
p. 61-71
Addition theorems for modified Bessel and Hankel functions
p. 72-75
A~certain stratification of pairs of two-parameter families of planes in $P_5$
p. 76-86
The intersection of subspaces augmented by one dimension, and the intersection of linear varieties
p. 87-93
Обтекание круглого цилиндра потоком тяжелой жидкости
p. 94-102
Properties of the solutions of a~degenerate elliptic system of equations of the type of the Tricomi equation.~II
p. 103-109
Certain questions on the solution and the asymptotics of ordinary differential equations
p. 110-116

Sommaire du Fascicule no. 12

The coefficients of the Fourier--Hermite series of continuous functions
p. 3-8
Linear differential-difference equations of infinite order with constant coefficients. Existence theorems for almost periodic solutions
p. 9-19
Certain integral inequalities that contain derivatives
p. 20-24
The accuracy of the representation of continuous periodic functions of two variables by singular integrals
p. 25-33
The ``correction'' theorems of Men'sov for a~certain class of multiplicative orthonormal systems of functions
p. 34-46
The first boundary value problem for a~certain quasilinear equation that degenerates on the boundary of the domain
p. 47-52
Best quadrature formulae for certain classes of functions
p. 53-59
The pasting together of functions of class $H^{(\alpha)}_{px}$ in two-dimensional space
p. 60-64
Tauberian type theorems for integral transforms, and their application
p. 65-70
On the theory of the index of systems of difference equations on the plane
p. 71-75
The best uniform approximation by algebraic polynomials of differentiable functions
p. 76-82
Certain solutions of linear inhomogeneous differential-difference equations
p. 83-92
Isomorphisms of semigroups of invertible linear transformations that leave a~cone invariant
p. 93-98
Cauchy, Goursat, and Cauchy--Goursat problems for degenerating systems of equations.~I
p. 99-111
The $(C,\,1)$-summability of the expansions of functions in periodic multiplicative orthonormal systems
p. 112-123
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