Geodesic

Sommaire du Fascicule no. 1

Some questions on the spectral theory of the equations $Tx=\lambda Sx$
p. 3-13
Generalized resolvents of isometric and symmetric operators.
p. 14-23
A~way of interpolating on a~segment
p. 24-30
A~mixed boundary value problem on a~bordered Riemann surface
p. 31-42
Asymptotic behavior of the solutions of a~certain system of linear differential equations with random coefficients
p. 43-48
Algorithms for the determinate analysis of dynamical systems with constant and variable coefficients
p. 49-60
Galois extensions of prime degree and their primitive element
p. 61-66
The nondissipativity of Markov processes
p. 67-73
Uniform convergence multipliers and uniform boundedness multipliers for the partial sums of Fourier series
p. 74-81
A study of a~certain class of linear sampled data systems by the method of $z$-transformations
p. 82-88
The completeness of subsystems of generalized Faber polynomials
p. 89-92
The approximation of functions by polynomials with special coefficients
p. 93-99
Probabilistic recognition, with isolated intersection point, of deterministically unrecognizable sets
p. 100-107
The stability of the solution of the prediction problem for discrete processes of maximal rank
p. 108-117
An application of the method of generating functions to the determination of the periodic motions of discontinuous nonlinear systems
p. 118-127
A~study of the convergence of all possible extensions of a~Hermite--Fej\'er interpolational process that is constructed on second order \v{C}eby\v{s}ev nodes
p. 128-131
A characteristic property of a~divided difference and some of its applications
p. 132-133
Boundary value problems with not one-to-one shifts in the case of a~multiply connected domain
p. 134-136
The deviation of spline functions that are obtained by averaging piecewise linear functions
p. 137-140
A~monotone method of barriers for a~controlled dynamical system
p. 141-143
Reducible $k$-sheeted structures
p. 144-147

Sommaire du Fascicule no. 2

The behavior at infinity of the solutions of a~certain second order differential equation
p. 3-5
The generation of the Walsh functions and their generalizations
p. 6-9
Interpolational quadrature and cubature formulas with multiple nodes for certain singular integrals
p. 10-20
Hurwitz constants
p. 21-23
Stability of the solutions of a~certain class of nonlinear systems
p. 24-26
On the question of the controllability of nonstationary systems.~II
p. 27-36
An algebraically closed field
p. 37-48
Theorems on the existence of discontinuous solutions in higher-dimensional variational problems. II
p. 49-59
The canonical operator on a~closed trajectory
p. 60-70
Maximum and uniqueness principles for the solutions of boundary value problems of certain equations of mixed type
p. 71-83
Continuation of measures in approximately finite factors
p. 84-90
Extension of semigroups of operators to locally convex spaces
p. 91-95
Propagation of an oscillation from a point source that moves over the boundary of a~two-dimensional crystal
p. 96-99
On the question of the behavior of the derivative of a~function that realizes a~conformal mapping near a~corner point of the boundary of the domain
p. 100-110
On the stability of difference schemes
p. 111-115
Construction of a~fourth order surface that consists of ten components
p. 116-117
Some advantages of nondeterministic machines over probabilistic ones
p. 118-123
An estimate of the norm of an inverse operator by the method of orthogonal complements
p. 124-126
Principal toroidal bundles, and $f$-structures
p. 127-130
The solvability of the inhomogeneous Riemann problem in the case of a~countable set of contours
p. 131-134
Spherical potentials, spherical Riesz differentiation, and their applications
p. 135-139

Sommaire du Fascicule no. 3

The motions of the Froude pendulum
p. 3-8
The construction of the characteristic equation for a~system of differential equations with lag
p. 9-19
A sufficient criterion for the existence of an envelope of characteristics and a~cuspidal edge on the enveloping surface of a~parametrized family of surfaces
p. 20-23
Invariant subspaces of contractions with a~slowly growing resolvent
p. 24-31
Convexity and starlikeness of the level curves of rational functions.~I
p. 32-42
$r$-orthogonal compositions and their classification in Weyl and Riemannian spaces
p. 43-52
Extensions of transitive transformation groups
p. 53-65
A Paley--Wiener theorem for a~Radon complex
p. 66-77
An inverse mixed problem of electrostatics
p. 78-85
The normal form of Cauchy systems
p. 86-100
The moduli of smoothness and the Fourier coefficients of functions of two variables
p. 101-103
Localization of the optimal element in the problem of norm minimization
p. 104-107
Quadrature and cubature formulas for singular integrals with kernels of Cauchy type
p. 108-112
A~theorem on the representation of a~certain class of functions
p. 113-115
Three-webs over an algebra whose curvature is a~zero divisor
p. 116-118

Sommaire du Fascicule no. 4

A criterion for the completeness of recursively enumerable sets, and some generalizations of a~fixed point theorem
p. 3-7
On the order of approximation of continuous and differentiable functions by irregular summation methods for Fourier series
p. 8-12
The inverse problem of overconvergence of power series
p. 13-20
К нелинейной теории тонких оболочек типа Тимошенко
p. 21-32
A problem of \v{S}ilov.~I
p. 33-43
Convexity and starlikeness of the level curves of rational functions.~II
p. 44-52
A~theorem of existence for variational problems on a~set of discontinuous functions
p. 53-59
Classes of uniqueness and non-uniqueness of the solution of the Cauchy problem for equations with a~Bessel operator
p. 60-68
Special $R$-orthogonal compositions in Riemannian spaces
p. 69-82
Representations of restrictive semigroups
p. 83-94
Periodic groups with extremal classes of conjugate abelian subgroups
p. 95-101
Multiple operator integrals
p. 102-115
Some inequalities for algebraic polynomials
p. 116-131
Multidimensional three-webs, generated by two families of hypersurfaces and one family of curves
p. 132-135
Structural isomorphisms of commutative semigroups with one defining relation
p. 136-138
Some properties of the configuration~$T$
p. 139-140
A~special case of a~system of singular integral equations and convolution equations
p. 141-144

Sommaire du Fascicule no. 5

Functions that are polyanalytic in the unit disc
p. 3-14
$p$-valent functions
p. 15-24
A~problem of \v{S}ilov.~II
p. 25-31
Some problems of Cauchy type and problems with ``incomplete initial data'' for a~class of degenerate equations
p. 32-44
Intersections of direct summands of abelian groups
p. 45-56
Spectral properties of unitary and nearly unitary operators in the spaces $C$ and $L^p$
p. 57-65
On the theory of linear filtration with allowance for relaxation effects
p. 66-73
The approximation of continuous functions by Abel-Poisson sums of their Fourier series in certain Jacobi polynomials
p. 74-83
An estimate of the remainder term in the integral asymptotic law on a~progression
p. 84-90
Sohocki\~{i} formulas in a~space of generalized functions on a~segment of the real line
p. 91-102
Approximate solution of the Cauchy problem for an abstract hyperbolic equation by the method of lines
p. 103-116
A~differential equation for a~certain class of orthogonal Bern\v{s}te in-Szeg\~o polynomials
p. 117-121
The two-dimensional homology group of the complement of an algebraic curve in $CP^2$
p. 122-124
Some properties of the category of inverse semigroups
p. 125-136

Sommaire du Fascicule no. 6

The Goursat problem for nonlinear systems over Gevrey spaces.~I
p. 3-15
The fundamental inverse boundary value problem for domains that are biholomorphically equivalent to the bidisc.~II
p. 16-25
Extrapolation of processes with a~spectral density whose denominator is a~quasipolynomial
p. 26-34
The weak integral in locally convex spaces
p. 35-43
Oscillations of the solutions of second order linear equations with bounded coefficients
p. 44-49
The approximation of functions of several variables by trigonometric polynomials
p. 50-54
A~study of the motions in a~case of the problem of fixed centers
p. 55-61
Solution of equations of Wiener--Hopf type in a~space of distributions of several variables
p. 62-71
Convergence in the large of an iterative process for higher order differential equations
p. 72-76
Modules and radicals of universal algebras
p. 77-85
The bifurcation of invariant manifolds of ordinary differential equations in a~Banach space from a~family of stationary solutions
p. 86-98
The approximation of functions that are continuous on a~segment by truncated de la Vall\'ee--Poussin sums
p. 99-106
The structure of spaces over algebras
p. 107-111
The realization of complex Weyl spaces
p. 112-118
Collineation in a~dimension-free projective space
p. 119-121
The Fourier transform of generalized functions of certain classes, and operational calculus on the basis of the two-sided Laplace transform
p. 122-125
The construction of monotone successive approximation processes by means of modifications of M.~Picone's algorithm
p. 126-130
The index and normal solvability of a~singular integral equation in the exceptional case
p. 131-134

Sommaire du Fascicule no. 7

Some classes of subspaces of H\"older spaces
p. 3-10
The Goursat problem for nonlinear systems over Gevrey spaces.~II
p. 11-20
The analytic representation of linear operators by means of measurable vector-valued functions
p. 21-31
Elementary theories of certain classes of two-base models of abelian groups
p. 32-36
Radiation conditions for domains with infinite boundaries
p. 37-45
Asymptotic representation of the solution of a~parabolic equation with a~discontinuous coefficient and a~discontinuous initial condition
p. 46-53
Operators of class $C_0$
p. 54-56
Bounds of starlikeness and convexity for certain special classes of analytic functions in the disc
p. 57-60
A~property of the solutions of differential equations of infinite order with constant coefficients
p. 61-65
Bifurcation of invariant manifolds of differential equations in a~Banach space from a~state of equilibrium
p. 66-75
Absolute and strong $p$th power summability $(p>1)$ of double series by matrix methods, and theorems of Tauberian type for these methods
p. 76-86
The solution of operator equations of the first kind with multivalued operators, and their application
p. 87-93
Three-webs in a~Riemannian space $V_3$
p. 94-98
The dynamical interaction of mechanisms for generating oscillations in nonlinear systems
p. 99-104

Sommaire du Fascicule no. 8

The ``homogeneity'' of the non-fulfilment of certain order-topology conditions in normed lattices
p. 3-8
Approximation in the mean of differentiable functions by certain trigonometric polynomials
p. 9-18
Necessary conditions for the solvability of the Goursat problem over Gevrey spaces
p. 19-30
Maslov's canonical operator in the real-analytic case
p. 31-40
An example of a~commutative atomically compact ring that is not a~retract of any compact topological ring
p. 41-48
Formulation of boundary value problems of linear filtration in the calculation of relaxation
p. 49-55
Quadrature formulas for a~singular integral over an interval of the real line
p. 56-67
The dual geometry of nets on a~regular hyperband
p. 68-78
The $\beta$-convergence of the projection method for operator equations of the first kind with a~nonlinear operator
p. 79-83
Functions of the second kind in the theory of the representation of operators
p. 84-87
Every smooth weight is an $l$-weight
p. 88-91
A~remark on the factorization of operators in a~splitting Banach space
p. 92-94
Diameters and the optimization of numerical methods for the solution of singular integral equations
p. 95-98
Invariant affine connections of higher order on a~homogeneous space
p. 99-101
An equivalence condition for dynamical systems on two-dimensional manifolds
p. 102-104
Formula subsets of the ordered group of integers
p. 105-107

Sommaire du Fascicule no. 9

A~criterion for the uniqueness of periodic solutions
p. 3-5
The numerical realization of an iteration process for quasilinear elliptic equations
p. 6-10
Finite-dimensional approximations to the solution of a~linear operator equation of the first kind
p. 11-17
Tests for the absolute convergence of double Fourier series for functions of bounded variation
p. 18-22
Absolute convergence of the Fourier series of a~weight function, and the asymptotic representation of orthonormal polynomials
p. 23-37
Tests for the univalence of analytic functions, and their application
p. 38-42
A~transformation operator
p. 43-47
Potentials of the wave equation
p. 48-64
The expandability of entire functions in generalized Abel--Gon\v{c}arov series
p. 65-68
Finite generation of projective modules
p. 69-79
Characterization of the semiadjacency relation on ordered algebras of multiplace functions
p. 80-88
Solution of $n$th order linear differential equations with variable coefficients on the basis of a~generalized Kulikov formula
p. 89-99
Coefficient quasidensity of entire functions that have defect values
p. 100-106
The univalence of certain integrals
p. 107-114
On the optimality of methods for the solution of singular integral equations with complex conjugate unknowns
p. 115-118
Extremals of the metric space of support vector densities
p. 119-121
Interpolational quadrature formulas with multiple nodes for singular integrals
p. 122-126
Induced connections on the surfaces of a~space over an algebra
p. 127-130
The rotational diffusion of a~dipole in an exterior field
p. 131-136

Sommaire du Fascicule no. 10

Mathematics at Kazan University during the last sixty years
p. 3-13
Uniform spline approximation that is optimal with respect to accuracy
p. 14-24
Regularly compatible operators
p. 25-36
Optimization of numerical methods for the solution of linear problems
p. 37-49
Difference approximation of the Dirichlet problem for a~quasilinear elliptic equation in a~domain with a~curvilinear boundary
p. 50-55
On the convergence of methods for finding the minimax
p. 56-64
The algebra generated by the Heaviside function and the delta-functions
p. 65-69
The approximation of the strain tensor in curvilinear coordinates. A~difference scheme for the problem of the equilibrium of an elastic cylinder
p. 70-80
On the Tricomi problem for a~square
p. 81-85
The efficiency of the method of symmetric difference linearization for the solution of functional equations
p. 86-99
The method of potentials in a~mixed problem for the wave equation
p. 100-108
The integration of differential equations with deviating argument
p. 109-121
Solution of a~three-dimensional problem of elasticity theory for a~transversally isotropic layer
p. 122-133
A topological sufficiency test for the existence of the optimal control of a~dynamical system
p. 134-137
An algorithm of Monte Carlo methods for calculations of critical systems
p. 138-149
Integral equations with generalized logarithmic and power kernels.~II
p. 150-162

Sommaire du Fascicule no. 11

A short proof of a~theorem on lattice points
p. 3-6
Inverse semigroups with some finiteness conditions
p. 7-14
A~study of the Noethericity of operators with an involution of order~$n$, and its application
p. 15-26
The finite-dimensional approximation of singular integrals over the real line
p. 27-33
A~nonlinear conjugation problem for a~plane with two cuts
p. 34-45
A~formula for sharpening the approximations of an iteration process
p. 46-49
The distribution of the fractional parts of the exponential function
p. 50-57
Regularized types of convex and entire functions of several variables
p. 58-65
The structure of the field of effectiveness of a~numerical summability matrix over a~Banach space with a~basis
p. 66-76
Условия применимости центральной предельной теоремы к~однородным случайным полям
p. 77-83
The completeness of systems of functions and universal series
p. 84-90
Approximate solution by the method of lines of a~boundary value problem for an equation of elliptic type
p. 91-99
Theorems of Tauberian type for matrix transformations and their application to Borel's method
p. 100-105
The classification of ill-posed problems and optimal methods for their solution
p. 106-112
On the question of the irreducible representations of an infinite direct product of finite groups
p. 113-117
On the theory of 4-webs of multidimensional surfaces on a~differentiable manifold $X_{2r}$
p. 118-121
A~problem of representation theory that is connected with homogeneous Riemann spaces
p. 122-123
The compactness of the set of plane continua of finite linear measure
p. 124-126
Totally geodesic subspaces in spaces over algebras
p. 127-129

Sommaire du Fascicule no. 12

Inequalities for the eigenvalues of some nonlinear spectral problems
p. 3-6
The convergence of a~certain method of collocation type
p. 7-12
On fields, arising in the decomposition of rational algebras of finite groups of order $p^\alpha q^\beta$
p. 13-18
Countable systems of differential equations with time lags
p. 19-22
A~study of the stability of systems of difference equations in the critical case of one as a~double root
p. 23-28
The differential geometry of smooth nonregular surfaces
p. 29-38
Boundary value problems with two conditions for first order functional-differential equations
p. 39-43
Normally solvable lattices
p. 44-53
An analogue of a~theorem of P\'olya
p. 54-64
An iterative method for the solution of a~system of finite difference equations in the problem of steady-state oscillations
p. 65-70
Best approximation by piecewise parabolic functions
p. 71-76
Inversion of \v{C}eby\v{s}ev's inequality for bounded functions
p. 77-84
One form of weakly converging sequences, and their summability in normed spaces
p. 85-91
Some classes of universal series
p. 92-98
The optimal stabilization of difference systems
p. 99-107
The realization of the method of quasisolutions
p. 108-113
Optimization of a~concave function by the method of imbedded intervals
p. 114-117
Nets in a~Weyl space of dimension two.~I
p. 118-124
On a~property of the Weierstrass linear polynomial operators
p. 125-127
Multidimensional matrices and their application to a~boundary value problem for finite difference equations
p. 128-130
Integral geometry on horospheres and hyperboloids in $\Phi$-Euclidean spaces
p. 131-134