Geodesic

Sommaire du Fascicule no. 1

Application of the variational principle of admissible changes of state of tension to the non-linear theory of shallow shells
p. 3-11
The Hilbert boundary problem for a~multiply connected domain
p. 12-23
Some properties of functions of class $L_p$
p. 24-32
An analogue of the Christoffel formula for polynomials orthogonal on the unit circle, and some applications
p. 33-42
Stratifiable pairs of an $\mathfrak{M}_3$ of lines and an $\mathfrak{N}_3$ of planes in $P_4$
p. 43-55
Some sufficient conditions for the existence of limit cycles
p. 56-59
Some questions in the theory of convergence of series with positive terms
p. 60-79
Systems of ordinary differential equations with generalized-homogeneous right-hand sides
p. 80-88
Surfaces of second order of a~biplanar space
p. 89-102
On a~generalization of the locally $\varepsilon$-starlike and locally $\varepsilon$-convex analytic functions of Yu.\,D.~Maksimov
p. 103-113
On a~method of determining the pressure function in a~non-homogeneous porous medium
p. 114-123
On the stability in the large of the solutions of third and fourth order non-linear differential equations
p. 124-129
Radicals and nil elements in groups
p. 130-135
Infinite systems in wave-guide theory
p. 136-142
The structure of Mikusiсski operators on a~pseudonormed space
p. 143-151
Mapping of straight lines of a~projective space onto a~plane by means of monoids
p. 152-157
A~property of a~sequence space
p. 158-160
On representability of large numbers by forms ``of general type'' with a~large number of variables
p. 161-173
Geometry of $m$-Euclidean spaces
p. 174-183
Semidirect products of rational groups
p. 184-201
A~relationship between the Lebesgue functions of an expansion into series of Jacobi polynomials orthonormalized with the weight function $P(x)=\sqrt{\dfrac{1+x}{1-x}}$ and the Chebyshev polynomials
p. 202-207

Sommaire du Fascicule no. 2

Non-oscillatory solutions of non-linear second-order equations
p. 3-4
The sets of periodic motions determined by a~system of differential equations
p. 5-16
Orthogonal pairs of subgroups of groups $O(n)$
p. 17-28
Some limit relations in the theory of orthogonal polynomials
p. 29-38
The existence and uniqueness of the solution of a~problem of F.\,I.~Frankl'
p. 39-51
On the method of chords constructed by Chebyshev nodes
p. 52-60
Research on the theory of weirs (plane problem)
p. 61-83
Stability of the solution of induced systems of differential equations
p. 84-92
Systems of singular integral equations of convolution type
p. 93-105
Some convergence criteria for series of positive terms
p. 106-117
On the uniqueness of the solution of Cauchy's problem for systems parabolic in the sense of I.\,G.~Petrovskii
p. 118-135
Criteria for the discreteness of the spectrum of a~singular string
p. 136-153
Isolated prime numbers in an interval
p. 154-162
On the rate of convergence of the Trefftz variational method for the first boundary problem of an equation of polyharmonic type
p. 163-172
Application of Lie differentiation to investigation of geodesic displacement in a~space of linear elements
p. 173-181
The limit process under the sign of integration for the Kolmogorov integral
p. 182-196
Integral equations with analytic kernels
p. 197-209
The monotonicity of the solution of some system of differential equations
p. 210-218
On the solution of Tricomi's problem for an equation of Chaplygin type
p. 219-226
Bounds for the critical value of the parameter $\alpha$ in the differential equation $\dfrac{d^2x}{dt^2}+\alpha\dfrac{dx}{dt}+f(x)=0$
p. 227-237

Sommaire du Fascicule no. 3

Sufficient conditions for univalence of regular functions
p. 3-7
On topological definition of integral invariants
p. 8-12
Strongly minimal surfaces
p. 13-23
On power densities of certain subsets of free semigroups
p. 24-30
On periodic solutions of quasi-linear differential equations in certain cases
p. 31-40
Non-stationary motion of a~viscous incompressible fluid between moving surfaces close to each other
p. 41-49
The theory of univalent functions with bounded rotation
p. 50-61
Entire solutions of partial differential equations
p. 62-66
On the stability of basis $\{z^n\}$
p. 67-73
Semitensors of a~two-dimensional net
p. 74-83
Some properties of schlicht functions with axial symmetry
p. 84-95
The unrestricted applicability of Chaplygin's theorem on differential inequalities to the solution of the first boundary-value problem for equations of elliptic type
p. 96-98
A~uniqueness theorem for the inverse problem of the logarithmic potential for star-like sets
p. 99-106
On the coincidence of metric and affine normals on a~hypersurface
p. 107-110
The behavior of the characteristics of Hukuhara's equation in a~neighborhood of the origin
p. 111-122
The problem of constructing a~fundamental solution of a~system of linear differential equations near an irregular singular point
p. 123-141
On the stability of solutions of integro-differential equations
p. 142-151
On a~class of lines on a~surface
p. 152-159
Approximate solutions of equations of elliptic type
p. 160-162
Theorems of Liouville type for certain elliptic systems of differential equations
p. 163-171
The zeros of polynomials related to Chebyshev quadratures
p. 172-175
A~generalisation of the Cauchy--Riemann equations and the harmonicity of monogenic hypercomplex functions
p. 176-182
The representation of a~completely continuous operator in an abstract separable Hilbert space
p. 183-186
Correction and addition to the paper ``On paired integro-differential equations...''
p. 187-190
On the density of zeros of $L$-function
p. 191-197
Extension of mappings of compacta
p. 198-202
Determination of the pressure field in piecewise homogeneous layers
p. 203-216
Properties of second-order matrices and their application to the quadratures of certain systems of differential equations
p. 217-224
On the theory of the radical of an associative ring
p. 225-232
The radii of univalence, starlikeness and convexity of a~class of analytic functions in multiply-connected domains
p. 233-240
A~boundary-value problem for the biharmonic equation in elasticity theory
p. 241-247
The non-oscillation problem for linear equations of fourth order
p. 248-250
An application of the method of oscillating functions to an approximate solution of initial and boundary-value problems for non-linear, second-order differential equations
p. 251-255
Functions satisfying Lusin's $N$-condition
p. 256-258

Sommaire du Fascicule no. 4

Some general formulae for the solution of partial differential equations with constant coefficients
p. 3-20
The application of Fourier series for finding almost periodic solutions of equations with mean values
p. 21-27
The construction of generalized resolvents of a~symmetric finite-difference operator of second order with deficiency index (1,1)
p. 28-35
On the asymptotic integration of non-linear systems with many degrees of freedom
p. 36-40
On the theory of matrix operators in Orlicz spaces
p. 41-53
Properties of solutions of the differential equation $\dfrac{d^ny}{dx^n}+p(x)\cdot\dfrac{d^{n-1}y}{dx^{n-1}}+q(x)\dfrac{d^{n-2}y}{dx^{n-2}}+f(x)\cdot y=0$ and their derivatives for large values of the argument
p. 54-59
On reducibility of infinite groups of Cartan mappings
p. 60-66
Semisimple transitive imprimitive groups of four-dimensional complex space
p. 67-79
The approximation of functions by polynomials with integral coefficient
p. 80-88
Some properties of singular integrals
p. 89-95
The stability of the inverse problem of the logarithmic potential
p. 96-99
The representation of functions of several variables by means of plane waves and the solution of Cauchy's problem for hyperbolic syste
p. 100-112
The correctness of the formulation of a~problem in optimal regulation
p. 113-126
A~condition for the compactness of sets in partially ordered spaces
p. 127-130
Some properties of the solutions of nonlinear elliptic equations
p. 131-139
A~new method for solving linear and nonlinear total differential equations with variable coefficients. Determination of periodic solutions
p. 140-152
A~generalization of Galerkin's method
p. 153-160
Classification of nilpotent Lie algebras of sixth order
p. 161-171
On intrinsic geometry of the second kind on hypersurfaces of an affine space
p. 172-183
The distribution of zeros of eigenfunctions of a~self-adjoint elliptic operator of the second order
p. 184-190
On a~class of lattices with non-unique complements
p. 191-201
The numerical solution of the integral equations of the Stefan problem
p. 202-214
Formulae for the boundary values of a~class of functions of two complex variables prescribed on $(p,\,q)$-bicircular regions
p. 215-217
The uniqueness of the solution of the basic problem of free thermal convection in a~liquid
p. 218-221
Some properties of orthogonal polynomials
p. 222-235
Algebraic theory of coordinate structures and geometric objects
p. 236-247
On the shape of the region of attraction of the null solution of the differential equation $\ddot x=f(x,\,\dot x)$
p. 248-264
Conditions for the solvability of \v{C}aplygin's problem for linear difference equations
p. 265-269
Almost-periodic solutions of inhomogeneous linear differential equations with lag
p. 270-274
On the mode of convergence of the Euler algorithm for extraction of roots
p. 275-278

Sommaire du Fascicule no. 5

Scientific session on Mathematics and Mechanics Faculty of Leningrad University
p. 3-4
On the symbolism of writing computational programs in the case of automatic programming
p. 5-17
Nonlinear functional equations and continuous analogues of iteration methods
p. 18-31
The computation of continuous integrals by the Monte Carlo method
p. 32-45
Machine translation from French
p. 46-51
Error estimate for numerical integration of ordinary differential equations.~I
p. 52-90
Remarks on coordinate functions
p. 91-94
On performing analytic calculations on machines with programmed regulation
p. 95-104
The methhhod of steepest descent in the problem of eigenelements of semi-bounded operators
p. 105-114
A~class of convergent iteration methods
p. 115-121
On over-relaxation in the solution of a~system of linear equations
p. 122-125
Investigations on the maximum principle.~I
p. 126-157
On the rate of convergence of Galerkin's method for ordinary differential equations
p. 158-165
On mathematical problems of cybernetics
p. 166-174

Sommaire du Fascicule no. 6

Conditions for convexivity of the image region under mapping by functions regular and univalent in the unit circle
p. 3-6
Some questions in the geometry of generalized $n$-dimensional Euclidean space
p. 7-16
Four-dimensional compact orientable locally-euclidean spaces
p. 17-29
The approximation of non-periodic functions by interpolating polynomials
p. 30-35
Mapping of a~biaxial space of straight lines onto a~set of spheres of Lobachevskii space
p. 36-47
A~case of conformal mapping of surfaces
p. 48-57
On a~multidimensional generalization of the Dupin cyclide
p. 58-72
On transitive imprimitive groups with radical in four-dimensional complex space
p. 73-85
On the theory of linear stationary systems with lagging arguments
p. 86-95
The bending problem for a circular plate lying on an elastic half-space under the action of a force applied at its center
p. 96-104
Functions regular in an annulus and convex in the direction of the imaginary axis
p. 105-110
Convergence and summability of interpolatory processes for functions of two variables
p. 111-126
On a~space with polar normalization
p. 127-138
On conformal mappings in solution of the inverse boundary problem of hydromechanics for multiply-connected regions
p. 139-155
Classification of Cremona transformations $T_3$ and algebraic congruences of straight lines
p. 156-160
Integro-differential equations with lagging argument and the stability of their solutions
p. 161-175
On the convergence of methods analogous to that of Galerkin
p. 176-179
Two-dimensional variational problems on manifolds
p. 180-192
Some new properties of curves of the second order in the elliptic plane
p. 193-202
On a~boundary problem of Sturm-Liouville type for a~second-order differential equation with a~retarded argument
p. 203-214
The impact wedge in a bounded flow with a symmetric cavitation flow
p. 215-225
lassification of gravitational fields of general form
p. 226-232
Cyclographic mapping of pseudo-hyperbolic space onto an ideal region of a~Lobachevskii plane
p. 233-243
Some applications of methods of two-sided approximation
p. 244-256
Basic properties of generalized monogenic functions
p. 257-265
Some differential properties of functions of two variables
p. 266-271