Geodesic

Sommaire du Fascicule no. 1

On the Chebyshev center of a set
p. 3-9
On the state of stress of an unbounded orthotropic strip
p. 10-13
On irreducible representations of finite metabelian $p$-groups
p. 14-18
Periodic solutions of non-linear oscillatory systems with one degree of freedom
p. 19-27
A geometric interpretation of the motion of a mechanical system of variable mass
p. 28-39
On the squarability in the Lebesgue sense of a~type of ruled surface
p. 40-45
On two-dimensional Finsler spaces admitting a~singular embedding in a~three-dimensional affine space with a~vector metric
p. 46-55
The theory of complexes in a~bi-axial space
p. 56-68
On the state of stress of an infinite strip
p. 69-72
Some properties of a~four-dimensional simplex
p. 73-83
Galois connections in systems with exterior multiplication
p. 84-86
A generalization of the second method of Lyapunov
p. 87-95
A differential-functional equation in partial derivatives
p. 96-99
Symmetric semi-Riemannian spaces
p. 100-116
An oblique mapping of a third-order surface with a double point onto the plane
p. 117-121
Multiplication of double series in the case when the partial sums of one of the series are unbounded
p. 122-124
On the theory of self-simulating transonic flows
p. 125-134
On the zeros of partial sums of Dirichlet series
p. 134-138
An axisymmetric mixed problem in elasticity theory for a transversally isotropic cylinder
p. 139-143
An expression for the measures of curvature and torsion for an unusual ruled surface
p. 144-152
Geometry of the Lagrange variational problem with a double integral in $X_4$
p. 153-165
On a class of functions univalent in the domain $1|z|\infty$
p. 166-172

Sommaire du Fascicule no. 2

On constructing a polarized normalization of a conformal space
p. 3-6
Singular Tricomi problems for the equation $\eta^\alpha u_{\xi\xi}+u_{\eta\eta}-\mu^2\eta^\alpha u=0$
p. 7-13
On packing $n$-dimensional Euclidean spaces by equal spheres.~I
p. 14-24
On the Chebyshev center of a set in Banach space
p. 25-30
Stability of solutions of integro-differential equations in partial derivatives
p. 31-40
A pseudo-linear connection
p. 41-52
Coordinate spaces and infinite systems of linear equations.~IV
p. 53-64
On certain matrix differential operators
p. 65-73
Linear operator equations of the first kind
p. 74-78
On the stability of trajectories
p. 79-81
On the unconditional convergence of eigenfunction expansions of certain differential operators
p. 82-93
Systems with exterior multiplication with periodic and complete components
p. 94-99
On a singular integro-functional equation
p. 100-109
A generalized reduced module and some of its applications
p. 110-119
Two theorems on the theory of a linear homogeneous differential equation
p. 120-126
On a method of summation of series
p. 127-135
A method of approximating even functions satisfying a Lipschitz condition by trigonometrical polynomials
p. 136-138
A homology transformation of two second-order curves into two circles
p. 139-143
Non-linear transformations of some classes of sequences (products)
p. 144-151
On quasi-periodic solutions of differential equations
p. 152-164
Boundary properties of the $S_p$ integral
p. 165-175
Asymptotic solution of a system of linear differential equations in the case of multiple roots of the characteristic equation
p. 176-185

Sommaire du Fascicule no. 3

On the sum of series which do not converge absolutely
p. 3-6
On ultraproducts of topological algebras
p. 7-16
Differential properties of the solution of a mixed problem for a strongly degenerate hyperbolic equation
p. 17-27
Families of linear elements which are bent by completely geodesic families
p. 28-35
On the definition of a dynamic limit point in general dynamical systems
p. 36-38
Criteria for boundedness of solutions of systems of ordinary differential equations
p. 39-42
On the theory of the Laval nozzle with weak discontinuities
p. 43-50
Integral summability methods which are absolutely translative for bounded functions
p. 51-58
A local limit theorem for density functions
p. 59-69
Determination of the number of solutions of a homogeneous bilinear system $(2,\,m)$
p. 70-74
Singular integrals similar to the Weierstrass integral and a~summability method for Fourier series related to them
p. 75-83
On the semigroup of a~multiplicative commutative regular semigroup.
p. 84-87
Some problems in the theory of approximating solutions of differential-operator equations in Hilbert space
p. 88-92
The Gibbs phenomenon in the general theory of singular integrals
p. 93-99
On the theory of Borel summability of series.~II
p. 100-110
Qualitative behaviour of the trajectories of a system of difference equations in the neighborhood of singularity
p. 111-115
Questions concerning the qualitative study of the solutions of equations with ``maxima''
p. 116-119
On the absence of periodic solutions taking the value $x=0$ in a class of differential equations of the form $\ddot x+x=F(x,\,\dot x)$
p. 120-122
On the Lyapunov theorem for sums of weakly dependent random variables
p. 123-130
Theorems of Tauberian type for $(C_\theta^{(\alpha)},\lambda)$-methods of summing series
p. 131-135
Some linear partial differential equations in dual and bicomplex algebras
p. 136-142
Positive matrix invertibility and the method of monotone approximations
p. 143-150
Sharpening of an interpolation theorem in the class of functions analytic in a half-plane
p. 151-155
Inverse problems in additive number theory.~VIII. On a conjecture of P.~Erd\H os
p. 156-169
The homogeneity of diffusion process of a special type and its construction in the Gaussian case
p. 170-183
On the structure of non-rigid closed edged surfaces of revolution
p. 184-187

Sommaire du Fascicule no. 4

Indices of functions on Riemann surfaces and their applications
p. 3-8
Some properties of the Cauchy function
p. 9-11
On the theory of the two-dimensional surface in $E_{4}$
p. 12-18
On conjugate connections
p. 19-29
A generalization of absolute continuity of a~function
p. 30-38
On the absolute summability of gap series by the Riemann met
p. 39-46
On the summability of sequences
p. 47-55
Linear prediction for a~class of stationary processes
p. 56-60
Asymptotic representation of solutions of a~first-order polynomial differential equation
p. 61-68
Ill-posed linear equations and exceptional cases of equations of convolution type
p. 69-74
On the accuracy of the first approximation for non-stationary linear systems
p. 75-78
Some special classes of analytic functions in a~circular annulus.~I
p. 79-85
On the inertial motion of a~rod in a~Lobatchevsky space
p. 86-98
A class of singular integral equations and a~boundary-value problem of the type of the Carleman problem.~I
p. 99-110
A dynamic problem of elasticity theory for a~plate of transversely isotropic material
p. 111-117
A method of approximating differentiable functions by trigonometric polynomials
p. 118-125
Some extremal problems for a~class of functions which is star-shaped in the direction of the real axis
p. 126-130
The Riemann boundary-value problem for generalized analytic functions on a~closed Riemann surface
p. 131-143
Mapping of space onto the plane by means of a~tetrahedral cyclic complex
p. 144-151
The inductive theory of non-commutative determinants
p. 152-161
Potential divisibility in commutative semigroups and rings
p. 162-168
The solution of two problems in applied mathematics by means of special approximating polynomials
p. 169-176

Sommaire du Fascicule no. 5

On concrete criteria for estimates of lengths of subcritical intervals
p. 3-7
The moving frame of an $m$-dimensional surface in an $n$-dimensional space of constant curvature
p. 8-11
On the theory of the reduction method for infinte systems of linear equations
p. 12-16
An error estimate for the approximate solution of the Cauchy problem for a~system of ordinary differential equations
p. 17-22
An approximate solution of the inverse problem of the potential of a~simple layer
p. 23-29
Some special classes of analytic functions in a~circular annulus.~II
p. 30-40
A~class of singular integral equations and a~boundary-value problem of the type of the Carleman problem.~II
p. 41-53
On infinitesimal connections in tangent fiber spaces
p. 54-60
Stability on a~finite time interval in the critical case of a~pair of purely imaginary roots
p. 61-68
Inverse boundary-value problems for multiply connected domains
p. 69-77
On the norm of a~linear process of Bernstein--Rogosinski type
p. 78-90
On the existence of upper and lower solutions of the Cauchy problem for a~second-order differential equation
p. 91-94
The geometric theory of the Radon case of the singular Lagrange variational problem in $X_4$
p. 95-99
Tauberian theorems for certain methods of summing series
p. 100-103
On degenerate Ribaucour transformations
p. 104-108
A boundary-value problem for biharmonic functions of two complex variables
p. 109-114
Countability of a~set
p. 115-117
On the Souslin problem
p. 118-126
A method for obtaining estimates of functions taking given values at prescribed points
p. 127-136
Invariant nets on hypersurfaces in a~four-dimensional projective space
p. 137-142
Embedding of semigroups into simple semigroups with one-sided division
p. 143-148
On the residues of functions of several complex variables
p. 149-161

Sommaire du Fascicule no. 6

On the sign of the Green's function of a boundary-value problem for a fourth-order differential equation
p. 3-9
The solution of an extremal problem in the theory of interpolation
p. 10-14
On hypersurfaces in a generalized Riemannian space
p. 15-23
A method of investigating the asymptotic properties of the resolvent of a system of Volterra integral equations
p. 24-31
Coordinate spaces and infinite systems of linear equations.~V
p. 32-40
The generalized areolar derivative and Taylor series
p. 41-45
The spectrum of a linear second-order differential operator in a Hilbert space of vector-functions with values in an abstract Hilbert space.~I
p. 46-58
On the possible forms of the general solution of the equilibrium equations in curvilinear coordinates
p. 59-66
A relation between a problem in elasticity theory and a special case of a problem of Poincar\'e
p. 67-69
The problem of the flow of a heavy liquid from a hole in a vertical wall
p. 70-77
Lattice-ordered semigroups
p. 78-87
On the distribution of singularities of the first and second group
p. 88-97
A method for the global study of the equation $\frac{dy}{dx}=\frac{Q_k(x,\,y)+Q_n(x,\,y)}{P_k(x,\,y)+P_n(x,\,y)}$
p. 98-103
A property of the indicator of an entire function of several variables
p. 104-115
The nature of conditions for a center
p. 116-122
The applicaton of semigroups to the study of boundedness of the solutions of certain differential equations in a Banach space
p. 123-133
An inverse problem for a stationary electromagnetic (temperature) field
p. 134-136
On symmetric, almost reducible and reducible Weyl spaces
p. 137-142
On some new integral representations of analytic functions
p. 143-152
Tauberian theorems for certain methods of summation of double series
p. 153-158
Cavitational flow around a two-dimensional plate
p. 159-167
Inverse problems in additive number theory.~IX. The addition of finite sets.~V
p. 168-178
An estimate for the least upper bound of arithmetic mean Fourier sums of Legendre polynomials.
p. 179-187
Письма в редакцию. II
Письма в редакцию. I