Geodesic

Sommaire du Fascicule no. 1

Entropy of a skew product
p. 3-14
The solution of boundary value problems for higher order differential equations by means of branching continued fractions
p. 15-23
The decision problem for metric spaces
p. 24-27
An application of the method of decomposition to the proof of theorems on the stability of the solutions of differential equations
p. 28-36
Piecewise polynomial bases in the space of continuous functions
p. 37-50
Certain sharp inequalities between best approximations
p. 51-56
An application of Legendre polynomials to the approximate computation of simple integrals
p. 57-64
Three-dimensional problems of elasticity theory in piecewise smooth domains
p. 65-70
An investigation of difference schemes for a~certain class of quasilinear parabolic equations
p. 71-77
A~theorem on stable potentials for two-component charged particles
p. 78-81
Two theorems on the approximation of functions that are continuous on an interval by interpolation polynomials
p. 82-90
Symplectic geometry, and Lie circular transformations
p. 91-98
A~certain representation of the solutions of an elliptic system of equations in a~domain that abuts on a~line of parabolic degeneracy
p. 99-109
$S$-reducible manifolds
p. 110-119

Sommaire du Fascicule no. 2

The order of approximation of conjugate functions by linear methods of summability of Fourier series
p. 3-14
Individuality and compatibility of minimal meta-Hamiltonian groups
p. 15-25
The Markov spectrum of a~Gaussian field
p. 26-40
Groups with restrictions on the normalizers of subgroups
p. 41-50
Kellog's theorem in the $L_p$ metric
p. 51-57
Topological ringoids over universal algebras
p. 58-63
Spaces over unital associative algebras, and their interpretations
p. 64-72
Transformations that are generated by idempotents with bounded projections
p. 73-76
Simple multidimensional singular integrals in the classes~$H_{\omega,\beta}^k$
p. 77-84
A~general problem with linear boundary conditions for ordinary differential equations
p. 85-87
The asymptotic representation of the solutions of partial integro-differential equations with retarded argument
p. 88-90
Weakly stratifiable pairs of line congruences
p. 91-98
A~generalization of E.~Titchmarsh's theorem on entire functions with negative zeros
p. 99-105
Transformation of second order linear equations
p. 106-115
Certain particular cases of stability in the first approximation of systems with delays
p. 116-118

Sommaire du Fascicule no. 3

Problems of distinction for recurrence relations
p. 3-8
Sets of convergence for double power series with complex coefficients
p. 9-13
A~certain interpolational criterion for the continuity of a~periodic function with bounded second variation
p. 14-18
Equivalent renormings of $W_p^r$ classes in the case of partitioning of the domain
p. 19-27
Construction of a~sixth order curve of type~$\displaystyle{\frac51}5$
p. 28-36
The Cousin problem for extended continuous functions on an extremally disconnected space
p. 37-43
Difference schemes for nonlinear multidimensional elliptic equations.~II
p. 44-52
The Cauchy problem for the Laplace equation
p. 53-55
Approximation of periodic functions by partial sums of Fourier series, for classes that are defined by a~polyharmonic operator
p. 56-67
Construction of a~semicanonical frame for a~two-dimensional net in $N$-dimensional projective space
p. 68-76
Periodic solutions of partial differential equations
p. 77-87
The normal approximation to the composition of uniform distributions
p. 88-94
Integral representations for the solutions of a~system of Euler--Poisson--Darboux equations
p. 95-101
The problem $T_1$ for a certain higher order equation of mixed type
p. 102-106
The stability of a~difference scheme that approximates the periodic boundary value problem of a~differential equation
p. 107-111
The limit distributions of sums of random variables that satisfy a~mixing condition
p. 112-118
The approximation of functions of two variables by algebraic polynomials that are best on a~given system of points
p. 119-125

Sommaire du Fascicule no. 4

Certain nonelementary properties of models of categorical theories
p. 3-7
Pseudosemiheaps and semigroups with a~transformation
p. 8-15
Monogenic semigroups of binary relations
p. 16-20
Partially orthogonal correcting stress tensors
p. 21-26
An application of Legendre polynomials to the approximate computation of multiple integrals
p. 27-35
The convergence and stability of a~certain difference scheme for solving the nonstationary kinetic equation
p. 36-44
The functions of the elements of a~linear lattice
p. 45-54
A~certain optimal quadrature for the class of differentiable periodic functions
p. 55-63
The coercivity of the Dirichlet problem in a~domain with irregular boundary
p. 64-76
The G\^ateaux differential, and uniqueness of the extension of linear operators with perservation of the norm
p. 77-86
Set functions with values in a~Boolean algebra
p. 87-98
A~certain class of sequences of measurable decompositions and endomorphisms of a~Lebesgue space
p. 99-105
Representation of $\sqrt N$ in the form of continued fractions of period one
p. 106-112
The connection between Mealy's and Moore's partial automata
p. 113-119
Letter to the editors
Letter to the editors

Sommaire du Fascicule no. 5

The decision problem for normed linear spaces and for Hilbert spaces
p. 3-10
The excitation of waves by an oscillating section of the bottom in the presence of a~dock
p. 11-15
A~certain method of solving a~problem for the equation of gas attack with a~discontinuous boundary condition
p. 16-19
Stability of the solution of systems of difference equations of order $n+2$ for the critical case of a~pair of complex roots of modulus one
p. 20-27
Criteria for the perfectness of K\"othe sequence spaces
p. 28-39
On a~test of M.~Izumi and S.~Izumi for the convergence of Fourier series
p. 40-44
The convergence, in strong norms, of a~certain iteration process for elliptic equations
p. 45-54
Periodic solutions of quasilinear functional-differential equations
p. 55-62
Certain questions on the centroaffine differential geometry of a~three-parameter family of plane elements
p. 63-72
A~multiplication theorem for the characteristic functions of linear operators
p. 73-76
Semireducible infinite-dimensional Riemannian spaces
p. 77-83
$CI$-quasigroups with nonempty distributant
p. 84-90
The Dirichlet problem for a~system of equations of the type of Tricomi's equation in the case of a~multiply connected domain
p. 91-98
A~priori estimates of the error of the Ritz method in the eigenvalue problem of degenerate higher order elliptic operators
p. 99-108
Linear-fractional integral of the geodesic lines of two-dimensional affinely connected spaces
p. 109-115
Editorial

Sommaire du Fascicule no. 6

On the investigation of a~nonlinear boundary value problem of Riemann type
p. 3-7
Filtral algebras
p. 8-18
Nearly diagonal systems of Volterra equations
p. 19-31
The pointwise differentiability of functions from~$W_p^l$
p. 32-36
Riemannian spaces that admit projective transformations
p. 37-41
Riemannian metrics in the tangent bundle over a~Riemannian manifold
p. 42-51
The extension of a~vector-valued measure.~II
p. 52-57
A~certain test of the decay of an oscillatory process
p. 58-60
The oscillation of functions that are conjugate to entire functions of exponential type
p. 61-67
The possibility of constructing a~Weyl geometry in a~projective space on nonsingular surfaces of type~$A$
p. 68-72
Operators of potential type on a~segment of the real line
p. 73-81
Construction of generalized-valued functions
p. 82-88
Rings over which cyclic flat modules are projective
p. 89-96
Certain geometric and topological properties of normed spaces with indefinite metric
p. 97-102
The spectrum of singular differential operators
p. 103-116

Sommaire du Fascicule no. 7

Groups of crossed homomorphisms of the automorphism groups of torsion-free abelian groups
p. 3-11
Direct methods of solution of singular integral equations of the first kind
p. 12-24
A~sufficient criterion for the non-oscillatoriness of a~certain difference equation
p. 25-31
The growth of functions that are defined by multiple Dirichlet series
p. 32-40
Abelian sets of positive linear operators in a~locally convex space
p. 41-46
Topological algebras that are given by defining relations
p. 47-58
A~certain generalization of finite minimal nonsupersolvable groups
p. 59-62
Stability of the family of cycles of dynamical systems
p. 63-69
Spaces with flag-affine and bi-flag-affine connection
p. 70-76
Groups of homomorphisms of completely decomposable torsion-free abelian groups
p. 77-84
Эквивалентные последовательности в некоторых пространствах функций
p. 85-91
The dual geometry of plane multidimensional nets
p. 92-102
A~certain embedding theorem
p. 103-111
Semigroups for which every transitive representation by functions is a~representation by invertible functions
p. 112-121

Sommaire du Fascicule no. 8

Herstein polynomials
p. 3-7
Numerical solution of a~generalized problem on the flow of a~stream of gases around an object with a~transonic velocity
p. 8-14
The inclusion of the elements of an alternating group of even degree in a~two-element basis
p. 15-18
Piecewise polynomial approximations of functions of classes $\mathring W_p^r$ in $L_q$ with respect to an infinite measure
p. 19-28
Unique solution classes for a~multipoint boundary value problem in an infinite layer
p. 29-34
The solvability of a~certain class of generalized differential equations of infinite order
p. 35-42
The characteristic singular integral equation with infinite index
p. 43-53
Multidimensional variational problems in a~class of discontinuous functions
p. 54-67
Almost geodesic direction fields in $A_{n+1}$
p. 68-78
Solvability of an extremal problem in a~case of infinite systems of weak* closed operations
p. 79-83
Approximation of functions of two variables by polyhedral functions in the uniform metric
p. 84-88
A~problem with boundary conditions on two characteristics for a~certain system of mixed type.~I
p. 89-100
Integral problems in a~matrix space that are connected with the functional $X^\lambda _{n,m}$
p. 101-112

Sommaire du Fascicule no. 9

Hexagonal three-webs on a~surface
p. 3-8
Subgroups of finite $p$-groups
p. 9-17
Certain inequalities between best approximations of periodic functions
p. 18-26
The functional representation of the injective envelope, and tests for the injectivity of certain modules
p. 27-30
The singularities of the solutions of three-dimensional problems of elasticity theory in piecewise smooth regions
p. 31-35
The existence of particular solutions of a~differential equation of infinite order with prescribed growth
p. 36-45
Difference schemes for quasilinear elliptic equations of arbitrary order
p. 46-53
Условная устойчивость семейства периодических решений дифференциальных уравнений в банаховых пространствах
p. 54-60
Existence of a~fundamental-group connection invariantly associated with the equation $y^{(n)}=f(x,y,y',\dots,y^{(n-1)})$
p. 61-69
Approximate solution of operator equations of the first kind in locally convex spaces
p. 70-77
A~problem with boundary conditions on two characteristics for a~certain system of mixed type.~II
p. 78-86
On the solvability of inhomogeneous boundary value problems for the Helmholtz equation in domains with infinite boundaries
p. 87-98
The convergence of multiple Newton series
p. 99-107
$G$-orthonormal systems and bases in Hilbert space
p. 108-117

Sommaire du Fascicule no. 10

Isomorphisms of the lattices of $\alpha$-admissible subgroups of torsion-free abelian groups
p. 3-13
Investigations of interpolation processes constructed with extended systems of Jacobi nodes
p. 14-22
Certain relations that are connected with semigroups of operators
p. 23-28
The domains of existence of canonical integrals
p. 29-37
A~certain equation of mixed-composite type
p. 38-41
A~nonlinear boundary value problem of Hilbert type
p. 42-49
The boundedness of trigonometric polynomials in the $L$ metric
p. 50-58
On the question of the continuability with respect to a~parameter of the solutions of boundary value problems for differential equations in Banach spaces
p. 59-68
Asymptotic behavior of the Mehler--Fock transform of functions that have a~singularity
p. 69-72
A~certain Hasemann boundary value problem for the half-plane, and convolution type integral equations with analytic kernels
p. 73-82
Rings whose commutative subrings are all Artinian
p. 83-89
The arithmetic properties of the values of the exponential function at nonalgebraic points
p. 90-99

Sommaire du Fascicule no. 11

Some problems on the eigenvalues of the equation $Tu=\lambda Su$ with unbounded and nonsymmetric operators, and their applications
p. 3-14
Abelian normal subgroups and automorphisms of some standard wreath products
p. 15-20
Some boundary value problems for a~certain elliptic equation.~I
p. 21-30
The asymptotic behavior of the solutions of difference equations
p. 31-42
The Cauchy problem in the ``intermediate'' Gevrey spaces
p. 43-49
Rings of finite width
p. 50-59
Semi-isomorphisms of semiheaps
p. 60-65
Approximate determination of a~limit cycle of a~certain equation with a~small parameter
p. 66-70
Menger's function systems
p. 71-78
The reducibility of an operative
p. 79-87
A~certain general property of compact primitives of abstract functions
p. 88-96

Sommaire du Fascicule no. 12

Asymptotic behavior of the positive eigenvalues of second order linear integro-differential equations
p. 3-9
Some boundary value problems for a~certain elliptic equation.~II
p. 10-21
Certain integrals and series for the incomplete cylindrical functions
p. 22-27
Generalization of the averaging method of N.\,N.~Bogolyubov to certain classes of differential equations without mean values
p. 28-32
The Goursat problem for certain systems in Gevrey spaces
p. 33-42
Existence of $B$-spaces with a~nonconvex modulus of convexity
p. 43-49
On the question of best quadrature formulas for classes of differentiable functions
p. 50-56
The $\Theta$-length of a~finite group
p. 57-63
Permutation of the order of integration in an iterated integral with a~Martinelli--Bochner kernel
p. 64-72
$K$-minimality of an optimal element and of a~minimizing sequence
p. 73-77
Geodesic mappings, and analogues of projectively Euclidean spaces of line elements with affine connection
p. 78-90
A~universal Fourier series of a~given function
p. 91-98