Geodesic

Sommaire du Fascicule no. 1

Multi-dimensional analogs of the Carlson inequality and of its generalization
p. 3-7
Series with respect to a~system {f(nx)}
p. 8-14
On the theory of interpolation of a~function of a~real variable
p. 15-20
Qualitative investigation of trajectories of nonlinear systems of difference equations
p. 21-29
Обобщение потенциалов Лауричелла--Шермана на случай пологих оболочек
p. 30-34
Generalization of a two-parameter Hilbert inequality
p. 35-39
Banach function spaces and integral operators.~III
p. 40-48
Quadrature in the sense of Lebesgue of a~parametrized surface
p. 49-56
Theorems of Tauberian type for logarithmic methods of summation
p. 57-62
Trigonometric polynomials of I.\,I.~\`Eterman
p. 63-66
A~problem of Carleman type for an unbounded region in a~class of analytic functions
p. 67-72
On unstable flow of viscous liquid between two concentric spheres
p. 73-82
An example of a~unicellular Volterra operator with three involutions
p. 83-87
Stability in the critical case of r null-roots for a~system with aftereffect
p. 88-94
Two Tricomi boundary value problems in an unbounded region
p. 95-101
An effective criterion for the existence and constancy of sign of the Green's function for certain difference boundary value problems
p. 102-106
Approximation by trigonometric polynomials of functions continuous on an interval
p. 107-114
Restrictive bisemigroups of mappings
p. 115-121

Sommaire du Fascicule no. 2

On a~problem of \v{C}eby\v{s}ev approximation
p. 3-8
Periodic limiting regime for systems of difference equations
p. 9-19
Summation of unbounded sequences
p. 20-25
On the question of Volterra equations with a~discontinuous operator in the right hand side
p. 26-34
Solution of integral equations of the first kind in L2
p. 35-41
An application of the adjoint difference equation
p. 42-47
Stability on a~finite time interval in the case of two null roots
p. 48-56
A~generalization of an inequality of Fej\'er
p. 57-63
On the question of an analog of Abel's theorem for infinite products
p. 64-66
Solutions of general linear systems of partial differential equations, analytic with respect to one variable
p. 67-73
Reductivity of factor-spaces generated by endomorphisms of Lie groups
p. 74-79
An equation of convolution type of the first kind
p. 80-92
Conditions for the existence and preservation of the sign of the Green's function of a~two-point boundary value problem
p. 93-99
Connection between the growth of the maximum of the modulus of an entire function and the moduli of the coefficients of its power series expansion
p. 100-108

Sommaire du Fascicule no. 3

Solution of the Cauchy problem for a~quasilinear partial differential equation of the first order.~III
p. 3-7
Generalized heaps and canonically ordered heapoids
p. 8-19
Certain generalizations and applications of inequalities of Kolmogorov and Gorny--Cartan
p. 20-26
Certain sufficient conditions for stability of the trivial solution of a~system of two differential equations of first order
p. 27-30
On an inverse boundary value problem of filtration theory
p. 31-38
Uniqueness of solution of a~boundary value problem for the \v{C}aplygin equation
p. 39-45
On the absence of limit cycles for a~differential equation
p. 46-49
On the problem of summation of Fourier series
p. 50-58
Investigation of difference schemes for nonlinear equations with the help of a~variational method
p. 59-65
On the theory of the characteristic functions of isometric operators
p. 66-73
Maximally mobile affinely connected spaces as spaces of constant curvature and their representations with help of algebras
p. 74-87
Basic facts of the theory of φ-spaces
p. 88-95
An additive problem with an increasing number of terms with the exponential function
p. 96-104
An integral equation of convolution type of the first kind
p. 105-116

Sommaire du Fascicule no. 4

Abstract Hellinger integral
p. 3-12
Qualitative study of some integral equations on the half line
p. 13-18
On the question of estimation of successive integrals of periodic functions
p. 19-25
On the theory of regular binary relations between elements of partial operatives
p. 26-39
Positive and monotone solutions of Volterra integral equations
p. 40-46
On a problem arising in the theory of optimal planning of regression experiments
p. 47-53
A~formula for generalized resolvents of an isometric operator
p. 54-59
Stability of solutions of systems of linear partial difference equations
p. 60-63
The spectra of quadratic operators of second quantization
p. 64-68
On a~class of integral operators
p. 69-80
A~boundary value problem for the Lavrent'ev--Bicadze quasilinear equation
p. 81-92
Application of a~method of construction of inequalities to Bessel functions
p. 93-102
On the question of regularization of singular integral equations with a~shift subjected to a~generalized Carleman condition
p. 103-111
Limit theorems for the uniform distribution of certain sequences
p. 112-121
Oscillation equations with even nonlinearities
p. 122-126
Boris Mikhailovich Gagaev (on his 70th birthday)
p. 127-129

Sommaire du Fascicule no. 5

Transient behavior in a~single-queue system with ``impatient customers''
p. 3-5
On the question of identities in semigroups
p. 6-12
The existence of random periodic conditions for quasilinear stochastic differential equations.~I
p. 13-21
An integral of Cauchy type for polyanalytic functions
p. 22-27
Stability conditions for the solutions of a~linear differential equation of the second order with a~periodic coefficient
p. 28-33
The motion of a~rigid body in Loba\v{c}evskii space
p. 34-39
The classification of special bundles and compositions of multidimensional spaces
p. 40-51
Asymptotic formulas for certain types of interference in the behavior of entire functions of finite order
p. 52-66
On a~multidimensional analogue of the integral of Cauchy type
p. 67-71
The second Cauchy--Goursat problem for an equation of Tricomi type with discontinuous coefficients on a~portion of the boundary of its region
p. 72-78
The representation of ordered involutory semigroups by means of uniform lattices
p. 79-90
On the set of Mα+1-countably-valued points of the operation ΦMα+1=RNα
p. 91-100
The generalized Duff--Friedman problem
p. 101-107
The solution of a~system of differential equations of mixed type in the region of hyperbolicity
p. 108-119
An approximate solution by the method of oscillating functions of the boundary-value problems for linear differential equations with deviating argument
p. 120-127

Sommaire du Fascicule no. 6

On the theory of interpolation of a~function of a~real variable
p. 3-10
Absolute summability of conjugate Fourier integrals by the method of G.\,F.~Voronoi
p. 11-21
A~simplified scheme of Fej\'er interpolation and a~quadrature process associated with it
p. 22-25
Certain classes of locally convex topological spaces.~II
p. 26-38
Equations of the first kind with a~closed operator
p. 39-42
The relative power of set-theoretic operations
p. 43-53
Estimates for the curvature of level curves under a~conformal mapping with bounded distortion
p. 54-58
Periodic solutions of quasi-harmonic systems with retardation
p. 59-67
Motion of a~symmetric body in Loba\v{c}evskii space
p. 68-75
On the question of applying the method of nets in the case of special infinite regions
p. 76-84
The fibering of a~pair of complexes on a~one-parameter family of pairs~T of congruences
p. 85-96
Galerkin approximations for the solution of a~non-linear problem on the equilibrium of a~circular symmetrically loaded plate
p. 97-100
A~class of spaces Ln0 with completely reducible isotropy group
p. 101-108
Certain classes of four-parameter direction fields connected with a~non-holonomic surface orthogonal to an arbitrary congruence
p. 109-116

Sommaire du Fascicule no. 7

Investigation of the interpolation process of S.\,N.~Bern\v stein, constructed with equidistant nodes of the given segment
p. 3-8
Irreducible representations of the group SU(n) of class~I relative to SU(n−1)
p. 9-20
Optimal control of processes describable by integral equations.~I
p. 21-33
Singular control in optimal systems
p. 34-42
The relative power of set-theoretic operations
p. 43-53
The regularization of singular integral equations with Cauchy kernels for bi-cylindrical regions
p. 54-64
The solution of operator equations of the first kind in Hilbert spaces
p. 65-69
Triangulability of groups
p. 70-77
The stratification of a~pair of complexes to a~one-parameter family of stratifiable pairs of congruences
p. 78-84
New axiomatic bases for the constructive geometries of Steiner and Hilbert
p. 85-88
Certain completion properties of normed lattices
p. 89-99
Об одном приложении сингулярного интегро-дифференциального уравнения в~теории фильтрации
p. 100-103
Some general theorems on the number of saddle points and anti-saddle points
p. 104-109
A~theorem on measurable functions
p. 110-112

Sommaire du Fascicule no. 8

The degree of approximation of functions by the (C,1)-means of their orthogonal expansions
p. 3-15
Optimal control of processes describable by integral equations.~II
p. 16-23
Some properties of the Wiener integral in the space of continuous functions of several variables
p. 24-35
Periodic oscillations of quasi-linear non-autonomous systems with retardation
p. 36-40
Hupersurfaces in unitary space.~I
p. 41-52
The theory of characteristic functions of linear operators
p. 53-59
Congruences of planes in elliptic and quasi-elliptic spaces
p. 60-71
A~general Tauberian theorem for infinite products
p. 72-75
Differentiation of functions which realize an approximate conformal mapping
p. 76-81
Symmetrizable linear operators which depend meromorphically on a~parameter, and their applications. I.~Spectral theory
p. 82-93
The number of exceptional directions and singular lines
p. 94-99
The theory of crossed semi-heaps
p. 100-105
Critical cases in stability of motion problems
p. 106-110
Letter to the editors

Sommaire du Fascicule no. 9

The fundamental objects of plane multidimensional nets
p. 3-15
Optimal control of processes describable by integral equations.~III
p. 16-25
A~comparison principle for differential equations of the second order on an infinite interval
p. 26-30
Conditions for the semiboundedness and discreteness of the spectrum of the Sturm--Liouville operator on the semi-axis
p. 31-40
Finding singular solutions of a~class of systems of weighted integral equations
p. 41-47
Frames for the surface Sn in Pn+2 (n≥2)
p. 48-59
Uniqueness conditions for a~normal domain of genus two
p. 60-68
The resolvent of self-adjoint extension of an elliptic operator
p. 69-74
Hypersurfaces in unitary space.~II
p. 75-85
On the representation theory of symmetric and isometric operators in Hilbert spaces
p. 86-92
Infinitesimal deformations of ridged surfaces of revolution
p. 93-98
The asymptotic solution of a~system of differential equations with small parameter
p. 99-104

Sommaire du Fascicule no. 10

Mathematics in Kazan University for 50 years
p. 3-10
Diagrammatizable semigroupoids and generalized groupoids
p. 11-23
The extension of V.\,A.~Markov's theorem to the zeros of two solutions of the differential equation
p. 24-26
Multipliers of Fourier integrals in weight classes and imbedding theorems
p. 27-38
Application of the normalization method to a~class of infinite systems of linear algebraic equations
p. 39-49
The regularization of linear operator equations of the first kind
p. 50-55
Linear systems S231 as an analogue of the Dirac equations
p. 56-61
Some approximate methods of Galerkin type and combined type
p. 62-75
Geometric characteristics of the imbedding of the classes Wpα in~C
p. 76-82
The Wiener--Hopf equation in spaces of ordinary and generalized functions
p. 83-91
A~singular case of the Wiener--Hopf equation in the space of bounded functions
p. 92-101
The method of symmetry in elasticity theory
p. 102-112
Classical dynamical systems on the torus with continuous spectrum
p. 113-124

Sommaire du Fascicule no. 11

An estimate of the Lebesgue function for an interpolation process in the roots of Jacobi polynomials
p. 3-6
The approximate determination of the eigenvalues of some operators which depend meromorphically on a~parameter
p. 7-10
Finite p-groups with an abelian normal divisor whose factor group is cyclic, and with cyclic center
p. 11-16
Some stability criteria in the case of constantly acting perturbations
p. 17-20
Sufficient conditions for the existence of discontinuous solutions for the simplest integral in the calculus of variations.~I
p. 21-30
О~неустойчивости симметричного решения круглой симметрично загруженной пластины, свободной от усилий на контуре
p. 31-34
Semi-focal 2-families of straight lines in P5
p. 35-42
Об одной схеме обтекания пластинки с~частичной кавитацией
p. 43-46
Completely linear functionals and reflexivity in normed linear lattices
p. 47-53
Functions representable by series in the Rademacher system
p. 54-66
A~two-sided estimate for the Lebesgue function of the Lagrange interpolation process with Jacobi nodes
p. 67-74
К~теории сферического подшипника
p. 75-89
Symmetrizable linear operators which depend meromorphically on a~parameter, and their applications. II.~Differential operators
p. 90-97
A~representation of the solutions of an inhomogeneous system of equations of Tricomi type
p. 98-106
Invariant tests for mobile quasi-Euclidean spaces W―2
p. 107-116

Sommaire du Fascicule no. 12

Factorization of ordinary linear differential operators that can be transformed into operators with constant coefficients.~II
p. 3-14
A~generalization of a~dual integral equation
p. 15-19
The existence of random periodic regimes for quasilinear stochastic differential equations.~II
p. 20-26
Approximate methods for the solution of nonlinear operator equations
p. 27-37
Sufficient conditions for the existence of discontinuous solutions for the simplest integral in the calculus of variations.~II
p. 38-46
Two theorems on the stability of the partial indices of Riemann's boundary value problem and their application
p. 47-57
A~general theorem of Tauberian type and its application to (I∗,pn,λ)−methods
p. 58-64
Homogeneous 3-cyclic spaces
p. 65-74
A~construction problem connected with the uniform distribution of the fractional parts of exponential functions
p. 75-83
Вариационное решение осесимметричной задачи термоупругости для трансверсально-изотропного
p. 84-89
The parametric localization by moduli of the zeros of polynomials and Laurent series
p. 90-96
The homeomorphic transformation of compact dynamical systems into Bebutov's dynamical system
p. 97-103