Geodesic

Sommaire du Fascicule no. 1

On the problem of stability of automatic-control relay systems
p. 3-10
The mapping of a~dynamical system into a~time-analytic dynamical system
p. 11-15
Some properties of the spaces~$H_p^{(r_1,\dots,r_m)}$
p. 16-23
Stability of critical values of functionals
p. 24-34
Completely integrable Pfaffian systems
p. 35-38
Surfaces of rotation in a~Euclidean space $E_n$
p. 39-47
On the homomorphism between the classes of regular operators in $K$-lineals and their completions
p. 48-57
The extrinsic curvature of convex surfaces in spaces of constant curvature
p. 58-68
Stability of the solutions of the Cauchy problem for symmetric systems of partial differential equations
p. 69-83
Simplicial bending of straight-line congruences
p. 84-93
On a~theorem of Hardy and Littlewood
p. 94-102
Some inequalities for entire functions of finite degree
p. 103-115
On certain classes of schlicht functions in domains of connectivity~$h$
p. 116-122
On an inequality of Mathieu
p. 123-124
Construction of resolvent equations of prime degree
p. 125-138
The limit process under the integral sign from the general viewpoint of the theory of the Kolmogorov integral
p. 139-153
A~boundary problem in function theory
p. 154-165
A~qualitative study of trajectories of difference equations in the neighborhood of a~fixed point
p. 166-174
Klassifikation der Gravitationsfelder allgemeiner Form nach den Bewegungsgruppen.~II,~III
p. 175-187
The order of approximation of functions of class $Z\alpha$ by certain polynomial operators
p. 188-193
A~method of approximating by trigonometric polynomials functions satisfying a~Lipschitz condition
p. 194-197
On differential equations in Banach spaces
p. 198-209
Questions concerning the projective bending of families of planes in $P_n$
p. 210-217
On the divided difference of a~function on the system of Chebyshev abscissas, together with certain applications
p. 218-226
On a general method of obtaining subgroups of finite groups
p. 227-233
Complete classification of the real conic sections in the extended hyperbolic plane
p. 234-243
From Editorial Board
Georgii Petrovich Boev (obituary)
p. 245-248

Sommaire du Fascicule no. 2

On the behavior of the integral curves of a~differential equation
p. 3-18
On the use of plane harmonic functions in solving three-dimensional static problems in the theory of elasticity of an isotropic body
p. 19-29
Approximate construction of quasiconformal mappings of the circle onto certain domains
p. 30-43
Integrals of potential type in Orlicz spaces
p. 44-56
On special types of complete continuity of infinite matrix transformations in Orlicz coordinate spaces
p. 57-64
On integral summation methods, restrictedly equivalent to convergence
p. 65-73
Characteristic properties of certain points of the spectrum of bounded linear operators
p. 74-87
A~theorem from the theory of mechanical quadrature
p. 88-92
On central extensions by means of thin layer-finite groups
p. 93-95
On surfaces which can be transformed affinely into themselves
p. 96-103
Some properties of potential operators in reflexive separable spaces
p. 104-107
On a~property of doubly homological tetrahedra
p. 108-109
On an extremal problem
p. 110-112
Oscillatory functions and their application to a~certain problem on an infinite interval
p. 113-128
On the singularities of certain classes of quasi-analytic functions
p. 129-137
An estimate for the defect of a~meromorphic function for which two values are distributed inside a~certain angle
p. 138-148
A~representation of completely continuous linear operators in Banach spaces
p. 149-153
On surfaces with planar generators along which the tangent plane is constant
p. 154-167
Periodic locally solvable, completely partitionable groups
p. 168-177
A~bound for the separatrices by the method of successive approximations
p. 178-189
On completely stratifiable pairs of congruences
p. 190-198
On the relation between various systems of constructive real numbers
p. 199-208
The asymptotic expansion of the \v{C}aplygin function
p. 209-212
Rings with an idealizer condition.~I
p. 213-222
Inversion of integro-differential operators by means of the Green's function
p. 223-235
Letter to the editors

Sommaire du Fascicule no. 3

Investigation on the maximum principle.~IV
p. 3-15
The unrestricted applicability of \v{C}aplygin's theorem to a~first-order system of partial differential equations
p. 16-20
Homomorphisms of dynamical systems
p. 21-29
A~mixed problem for a~degenerate hyperbolic equation
p. 30-42
Uniqueness conditions for limit cycles
p. 43-47
A~generalization of the Bernstein polynomial
p. 48-53
The theory of hypersurfaces of a~generalized Euclidean space and generalized Riemannian spaces of first class
p. 54-61
Equivalence of various definitions of homology in topology
p. 62-80
The theory of surfaces in a~bi-affine space.~I
p. 81-92
Solutions of a~class of integro-differential equations and the Nekrasov conditions
p. 93-100
On the generalized problem of N.\,N.~Lusin
p. 101-103
Stability of the solutions of a~mixed problem for a~hyperbolic equation of second order
p. 104-112
Remarks on bounded periodic solutions of a~system of two linear differential equations with periodic coefficients, which is integrable in closed form
p. 113-117
The subgroups of metabelian products of cyclic groups of order~$p$
p. 118-126
Construction by the reduction method of the characteristics of a~first-order partial differential equation with a~denumerable set of variables
p. 127-140
A~property of functions with a~finite Dirichlet integral on a~piecewise smooth contour
p. 141-145
Some new results related to the integration of the confluent hypergeometric equation
p. 146-153
Asymptotic bounds for a~class of meromorphic functions of finite order
p. 154-162
A~completely continuous perturbation of the Hill equation on the half-line
p. 163-167
A~method of solving certain linear integro-differential equations
p. 168-172
The generalized method of Frommer
p. 173-187
An application of Galerkin's methods and the Galerkin moments to a~certain partial differential equation of Vekua type
p. 188-204
Determination of stress in a~space formed of an orthotropic medium having a~cylindrical cavity
p. 205-212
The Dirichlet problem for partial differential equations
p. 213-218
The representation of numbers by positive quadratic forms (asymptotic formulas)
p. 219-229
Solvability in finite form of certain systems of differential equations
p. 230-234
A~replacement method for a~linear equation in an abstract-normed space
p. 235-240
On the problem on the breakthrough of water to probe the edge gallery
p. 241-255
Approximate solution by the oscillating function method of differential equations with lagging argument
p. 256-260
On the partial sums of the Fourier-Jacobi expansion of functions of class $\operatorname{Lip}\alpha$
p. 261-267
Letter to the editors

Sommaire du Fascicule no. 4

Some systems of polynomials orthogonal in two symmetric intervals
p. 3-16
Linear polynomial operations on groups
p. 17-28
The conformal mapping of surfaces with preservation of integral curvature
p. 29-35
Transformative semigroups
p. 36-48
Cubature formulas for the calculation of the moments of functions of two variables
p. 49-54
Imbedding theorems for certain linear normed spaces
p. 55-66
Meromorphic functions with separated zeros and poles
p. 67-72
A~boundary-value problem for a~fourth-order equation of mixed type
p. 73-78
A~condition for the correctness of the Cauchy problem for linear systems of partial differential equations with variable coefficients
p. 79-88
Linear differential operators of second order in a~Hilbert space of vector functions with values in an abstract separable Hilbert space
p. 89-100
A~method for approximate conformal maps
p. 101-105
Direct decompositions of abstract algebras with distinguished subalgebras
p. 106-113
The isometric mapping of the projective structure of a~complex onto a~space of constant curvature
p. 114-127
A~remark a propos of Hensel's lemma
p. 128-132
Generalization of a~theorem of Courant
p. 133-144
On a~class of four-dimensional $A$-spaces
p. 145-157
Classification of gravitational fields of general type by the group of motions. I, II, III
p. 158-169
Approximate calculation of flow past single and multiple cascades of profiles by the method of singularitie
p. 170-172
On the class-number of the ideals of a~real quadratic field
p. 173-177
On a~Codazzi quasi-euclidean pair of adjoint connections
p. 178-186
Some extremal problems for cyclically monotone polynomials
p. 187-195
Some properties of the Green's function of a~linear ordinary differential operator
p. 196-205
A~non-oscillation theorem for a~linear self-adjoint differential equation of fourth order
p. 206-209
On the stabilization of the solution of the Cauchy problem for parabolic systems
p. 210-217
Letter to the editors

Sommaire du Fascicule no. 5

Theory of flow in a channel with a low triangular barrier on the bottom
p. 3-11
On the univalence of partial sums of power series
p. 12-15
Investigation on the maximum principle.~V
p. 16-26
On the coexistence of singular points of different types
p. 27-32
The summation of Fourier series of almost periodic functions
p. 33-39
On the index of the Dirichlet problem
p. 40-42
The uniform approximation of continuous functions on Riemann surfaces.~I
p. 43-51
Straight lines on an algebraic surface with a~double K\"onig's net
p. 52-61
Ces\`aro means of variable order
p. 62-73
The small-parameter method for iteration systems
p. 74-85
Discontinuous solutions of variational problem
p. 86-98
A~general boundary-value problem for infinitesimal bending of fused surfaces
p. 99-109
An interpolation problem for $C$-functions
p. 110-115
On the representation of numbers by positive quadratic forms
p. 116-128
On the fundamental problems of the theory of monogenic hypercomplex functions
p. 129-135
Об одном сингулярном интегральном уравнении, связанном с~циклической группой дробно-линейных преобразований
p. 136-143
Присоединенные массы подводной пластины при обтекании с~отрывом струй
p. 144-151
Generalization to the doubly-connected case of Lavrent'ev's variational formula for the conformal mapping of neighboring simply-connected domains
p. 152-159
On a~system of algebraic equations in one unknown
p. 160-164
Wiener measure and its applications to approximation methods.~II
p. 165-179
On conditions of solvability of the Čaplygin problem for difference equations
p. 180-185
Certain existence and uniqueness questions in the theory of transonic flow
p. 186-189
On the radius of holomorphy of functions inverse to functions which are analytic and bounded in multiply-connected regions
p. 190-194
Reduction of a~boundary-value problem to a~problem with Cauchy initial conditions
p. 195-198
The regularization of complete integro-differential equations of convolution type
p. 199-210

Sommaire du Fascicule no. 6

A non-linear differential equation
p. 3-10
The Cauchy problem for an equation of Euler--Poisson--Darboux type and for a~degenerate hyperbolic equation
p. 11-23
Some inequalities and their application to interpolation processes
p. 24-30
Mappings of a~pseudo-Euclidean space which preserve isotropic vectors
p. 31-39
The remainder term in the asymptotic formula for $\nu_G(x)$
p. 40-49
On infinite convex surfaces in a~Lobachevsky space
p. 50-61
Automorphisms of semigroups of topological mappings
p. 62-73
Best approximations of measurable functions by rational functions and polynomials
p. 74-81
The application of polyharmonic polynomials to the solution of boundary problems for the polyharmonic equation
p. 82-92
Periodic and almost periodic forced oscillations arising from the action of an external force
p. 93-102
A~boundary problem related to analytic functions of two complex variables
p. 103-113
The theorems of the mean for solutions of singular elliptic differential equations
p. 114-125
Some subclasses of convex and star-shaped conformal mappings of an annulus
p. 126-139
Interior boundary-value problems without initial conditions for the equation $\Delta u=\frac{\partial u}{\partial t}+qu+F$
p. 140-149
Investigation of the solutions of systems of non-linear differential equations with a singularity on the right-hand side
p. 150-157
Differential comitants of various linear objects
p. 158-162
Interpolation of Dirichlet series and summation properties of Legendre polynomials
p. 163-169
Нелинейные задачи теории тонких анизотропных пластин
p. 170-173
The theory of summing series by Borel's method
p. 174-183
Focal-directrix properties of curves of second order on the Lobachevsky plane
p. 184-194
Cauchy's problem for partial differential equations with a~lagging argument in a~Hilbert space
p. 195-202
A~remark on simple semigroups
p. 203-206
Determination of a~periodic solution of a~differential equation
p. 207-213
Uniqueness of the solution of a~singular problem of Gellerstedt--Tricomi
p. 214-225
A~generalisation of the inverse problem of the asymptotic method of Bogoljubov
p. 226-232
$P$-radical groups
p. 233-238
The temperature distribution in a~continuous infinite cylinder
p. 239-242