Geodesic

Sommaire du Fascicule no. 1

Infinitesimal pseudoconnections
p. 3-11
The geometry of a~differentiable manifold with a~given three-index tensor or pseudotensor field
p. 12-24
A~reduction of a~general mathematical programming problem to an unconditional extremum problem
p. 25-32
A~certain property of the exponential integral function and its repeated integrals
p. 33-41
The rate of summation of orthogonal series by Euler methods
p. 42-51
A~certain method of prescribing a~pre-Hilbertian norm
p. 52-54
Necessary conditions for the extremum of two-dimensional variational problems on a~collection of discontinuous functions
p. 55-63
Radicals in $m\Omega$-near-rings.~I
p. 64-75
Certain quasi-conformal mappings in the space~$C^n$
p. 76-78
Generalized resolvents of symmetric operators
p. 79-84
The projectivity of finitely generated flat modules
p. 85-93
On the geometry of the manifold $M_{n-1}$ ($L_{n-1}$) in~$A_n$
p. 94-101

Sommaire du Fascicule no. 2

The Hellinger integral
p. 3-10
The approximation of functions that are analytic on perfect sets by polynomials with integer coefficients
p. 11-15
Estimation of the accuracy of mechanical quadratures
p. 16-22
A~semiadjacence relation of certain transformation semigroups
p. 23-32
On the general theory of partial $\mathfrak P$-operatives
p. 33-43
Transformation semigroups that are generated by idempotents with a~given defect
p. 44-50
Holonomic mechanical systems with two degrees of freedom that admit quadratic integrals
p. 51-53
The existence of discontinuous solutions for a~certain class of quasiregular variational problems in nonparametric form
p. 54-62
Radicals in $m\Omega$-near-rings.~II
p. 63-71
Two asymptotic formulae for special functions that are connected with representations of the groups $SO(n)$ and~$M(n-1)$
p. 72-77
The comparison of the strength of certain projective operations
p. 78-80
Pseudo-semilattices and pseudo-lattices
p. 81-94
Dimension of the trajectories in a~linear dynamical system
p. 95-103
The asymptotic behavior of the solutions of the system $Y''-Q(x)Y'-P(x)Y=0$.~III
p. 104-121

Sommaire du Fascicule no. 3

The order of the approximation of continuous functions by the arithmetic means of partial sums of a~Fourier--Hermite series
p. 3-9
The operation of multiplication for distributions of slow growth
p. 10-19
The Laplace and Poisson equations in functional derivatives in Hilbert space
p. 20-22
Efficient difference schemes for quasilinear parabolic equations
p. 23-31
Ergodic properties of a~certain class of piecewise smooth transformations of a~segment
p. 32-40
Triangulability of groups and rings
p. 41-45
An investigation of the behavior of the trajectories in the neighborhood of a~complex limit cycle of a~system of three differential equations
p. 46-51
The spectral properties of the scattering matrix
p. 52-60
Local properties of Bernoulli numbers and a~generalization of the Kummer--Vandiver theorem
p. 61-69
$\varphi$-spaces in the case of the full linear group
p. 70-79
Perfect semigroups
p. 80-89
The Riemann problem for a~countable set of contours with two limit points.~I
p. 90-102
On a~certain theorem of A.\,N.~Kolmogorov
p. 103-107
A~linear fractional integral of the geodesics in Weyl spaces and Riemannian spaces of two dimensions
p. 108-118

Sommaire du Fascicule no. 4

Extension of a~continuous outer measure on a~Boolean algebra
p. 3-9
A~monotonicity principle in the theory of the interpolation of a~function of a~real variable
p. 10-17
On the theory of antiheaps
p. 18-31
Direct methods of solution of certain operator equations.~III
p. 32-43
Imbedding theorems for the $L_p(-\infty,\infty)$ classes of functions
p. 44-54
A~certain criterion for a~$K$-system of continuous functions
p. 55-59
The characteristic equation of a~system of linear differential equations with periodic coefficients and lags
p. 60-66
Imbedding theorems for certain classes of continuous periodic functions
p. 67-77
The convergence in strong norms of a~certain iteration process for ordinary differential equations
p. 78-83
Traveling waves for second order nonlinear partial differential equations
p. 84-92
Orthogonal morphisms and the notion of bicategory
p. 93-101
Symmetric $p$-operatives
p. 102-108
The dual geometry of nets, and polar-conjugate configurations on a~hypersurface
p. 109-119
On the integral geometry method in the theory of nonregular curves
p. 120-122
A~correction to the article by M.\,I.~Al'mukhamedov on ``The construction of a~differential equation having given curves as its limit cycles''
p. 123-124
Letter to the editors
p. 125-126

Sommaire du Fascicule no. 5

On a~certain modification of the method of successive approximations for Volterra integral equations and its application to eigenvalue problems
p. 3-10
The inverse problem of overconvergence of polynomial series
p. 11-14
A~certain boundary value problem for a~fourth order equation of mixed-composite type
p. 15-21
On the problem of computing the values of an unbounded operator in $B$-spaces
p. 22-28
Points of summability of double Fourier series by certain linear methods
p. 29-37
Lie algebras of rank~1 with a~root system in a~prime field
p. 38-50
Invariance of rotation principles
p. 51-57
The properties of the product of distributions of slow growth
p. 58-62
Boundedness of solutions of systems of relay differential equations
p. 63-65
Maximal semigroups
p. 66-73
The order of entire functions of several complex variables that are defined by Dirichlet series
p. 74-79
Linear difference equations with random coefficients
p. 80-83
On the problem of game contact of motions for systems with lag
p. 84-91
An exceptional case of the homogeneous Riemann problem with finite index of the coefficient
p. 92-103
A~certain transformation of operator matrices
p. 104-108
Generalization of certain theorems of Karamata to the case of functions of two variables
p. 109-115
A~certain mixed problem of the theory of convective diffusion
p. 116-119

Sommaire du Fascicule no. 6

Analyticity with respect to part of the variables of the generalized solutions of systems of differential equations
p. 3-8
Smooth solutions of the displacement boundary value problem of thermoviscoelasticity
p. 9-18
On the completeness problem in automata theory
p. 19-25
Generalized heaps and generalized groups with a~modular lattice of congruence relations
p. 26-35
Mean values of entire functions of two complex variables that are represented by Dirichlet series
p. 36-40
A~Van~Hove theorem for systems of rarefied particles
p. 41-49
Certain properties of the Fourier coefficients and Fourier transforms of functions from the classes $\Lambda(\alpha,\beta,\alpha',\beta')$ and~$\Delta(\alpha,\beta,\alpha',\beta')$
p. 50-59
An asymptotic estimate for the remainder in the approximation of functions by trigonometric polynomials
p. 60-64
Best mean square approximations by entire functions of exponential type
p. 65-73
The oscillations of a~sequence of de la Vall\'ee--Poussin integrals
p. 74-77
Reducible Riemannian manifolds in the large
p. 78-85
Asymptotic estimates for the convergence of the Ritz method in eigenvalue problems
p. 86-91
A~certain method of numerical solution of unstable extremal problems
p. 92-100
Discreteness of the spectrum of nonselfadjoint singular differential operators in a~space of vector functions
p. 101-109
Letter to the editors

Sommaire du Fascicule no. 7

The elementary definability and elementary characterizability of classes of reflexive graphs
p. 3-11
Generalization of a~theorem of Hardy and Littlewood on the embedding of Lipschitz classes
p. 12-18
The structural and constructive properties of a~function and its conjugate in~$L$
p. 19-30
The measurability of the kernels of integral operators
p. 31-34
Chebyshev approximation by asymptotically convex families of functions
p. 35-41
Homomorphisms of categorial semigroups
p. 42-52
$B$-sets of certain topological spaces of odd weight
p. 53-64
A~description of certain lattices of varieties of semigroups
p. 65-74
The inverse boundary value problem on the half-axis for a~second order equation
p. 75-84
The Cauchy problem for parabolic pseudodifferential equations with nonstabilizing symbol
p. 85-94
An application of functions with bounded spectrum to the estimation of the errors of methods of numerical solution of differential equations
p. 95-99
Certain estimates and asymptotic formulas for superorthogonal polynomials
p. 100-106
The method of chords
p. 107-112
Nonstable extremal problems, and the geometric properties of the unit sphere in a~Banach space
p. 113-118

Sommaire du Fascicule no. 8

The computation of periodic solutions of nonautonomous systems by the method of successive approximations
p. 3-9
The connection of the growth of an entire function of generalized order with the coefficients of its power series expansion and the root distribution
p. 10-18
The inclusion of a~diffeomorphism into a~flow
p. 19-25
The order of the growth of the solutions of linear differential-difference equations of delay type
p. 26-33
The operator of harmonic conjugation in plane domains with piece-wise smooth boundary
p. 34-40
A~certain expansion of a~biharmonic function
p. 41-45
The accuracy of the representation of a~continuous $2\pi$-periodic function by means of linear approximation methods
p. 46-59
$Z_N$-classification, and approximation of sets
p. 60-69
The characteristics that enter the origin with semisingular orders of curvatures
p. 70-80
Invariant interpretations for special compositions of multidimensional spaces
p. 81-89
Jackson's inequality for $B^2$-almost periodic functions
p. 90-93
The regularization of integral equations of the first kind with a~Green's kernel
p. 94-104
The numerical solution of unstable extremal problems
p. 105-113
Rational $E_{n,m}(x)$ functions, and the approximation of~$|x|$
p. 114-119

Sommaire du Fascicule no. 9

The approximation of differentiable functions by certain linear operators
p. 3-9
Sets with disjoint elements
p. 10-16
The rate of convergence of the averaged S.\,N.~Bernshtein process in the complex domain
p. 17-24
Lattice isomorphisms of inverse semigroups
p. 25-32
Saturation classes of certain summability methods for Fourier--Legendre series
p. 33-43
The characteristic numbers of a~second order linear homogeneous equation with periodic coefficient
p. 44-47
The correctness of a~nonlinear two-layer difference scheme
p. 48-53
On the geometry of tangentially rigged submanifolds
p. 54-65
Normal fundamental matrices of elliptic systems in an unbounded space
p. 66-70
Ac~certain inequality for second order elliptic operators
p. 71-75
The application of variational methods to the solution of boundary value problems for equations of mixed type in transonic gas dynamics
p. 76-83
The prolongation of first order infinitesimal deformations of closed ribbed surfaces of revolution to second order infinitesimal deformations
p. 84-89
Characterization of convex sets of normed linear spaces
p. 90-94
A~certain criterion for the absence of limit cycles
p. 95-98
On a~problem of A.\,D.~Wallace on the structure of semigroups on spheres
p. 99-108
On the distribution of the concentration of the reagent in an infinite solid cylinder
p. 109-113

Sommaire du Fascicule no. 10

The asymptotic expansions of certain integrals that depend on a~parameter
p. 3-6
The eigen- and associated functions of a~one-dimensional linear differential operator of order~$n$
p. 7-12
The representation of a~meromorphic function in the form of a~quotient of entire functions
p. 13-17
Газовые течения с большой сверхзвуковой скоростью
p. 18-22
The stability of orthogonal bases in a~uniformly convex space
p. 23-26
The minimization of quasicomplex functionals
p. 27-33
Задача нелинейной фильтрации с неоднолистной областью годографа скорости
p. 34-40
Approximate solution of certain unstable problems
p. 41-45
The increase in the number of nodes for a~quadrature formula that is best on a~set of functions
p. 46-52
Solution of Wiener--Hopf type equations in a~space of distributions
p. 53-58
The integral representation of monogeneous functions of several variable
p. 59-62
Semigroup rings of symmetric transformation semigroups
p. 63-74
A~certain integral inequality that is connected with an inequality of P\'olya
p. 75-80
On the computation of Cauchy type integrals
p. 81-87
Cauchy's theorem for multidimensional integrals of functions on commutative algebras, and some of its consequences
p. 88-98
Letter to the editors
p. 99-101

Sommaire du Fascicule no. 11

Analytic functions with bounded mean modulus
p. 3-12
К расчету свободных колебаний тонких сферических оболочек
p. 13-17
A~certain boundary value problem with a~shift in the theory of analytic functions
p. 18-22
Difference schemes for nonlinear multidimensional elliptic equations.~I
p. 23-31
Discrete analogues of boundary value problems
p. 32-38
A~certain method of approximate solution of nonlinear differential equations
p. 39-45
A~certain class of manifolds with singularities
p. 46-52
On the theory of direct problems of transonic gas flows
p. 53-62
A~certain criterion for the rectifiability of a~continuum in the space $R^n$
p. 63-66
Convergence in the space~$D^m$
p. 67-71
Generalized model systems of equations of mixed
p. 72-79
A~generalized Carleman boundary value problem on a~Riemann surface with boundary
p. 80-89
Normal solvability of integro-differential equations
p. 90-97
The existence of incomplete balanced block schemes with variable block volume
p. 98-109

Sommaire du Fascicule no. 12

$b$-simple representations of anti-heaps
p. 3-16
A~certain special class of homogeneous spaces
p. 17-22
On the integral solution of integral equations by the method of mechanical quadratures
p. 23-39
Certain properties of orthogonal systems of functions
p. 40-45
Normal extensions of semi-groups
p. 46-54
Double Fourier series, and functions of bounded variation
p. 55-68
Alternating Lie derivative in a~space of support elements with a~geometric support object
p. 69-76
Об асимптотическом методе решения нелинейных задач газовой динамики со слабыми ударными волнами. Некоторые вопросы теории коротких волн
p. 77-83
The structure of the connection on a~manifold of lines in a~non-euclidean space
p. 84-94
On the solution of the Riemann problem in singular cases.~II
p. 95-101
The two-sheeted structure on a~reducible Riemannian manifold
p. 102-110
Attainable classes of lattices
p. 111-115
Fiber bundles of involutions
p. 116-123
Seminar on boundary-value problems