Geodesic

Sommaire du Fascicule no. 1

On steady flow of an incompressible viscous fluid admitting a~triply orthogonal system of surfaces
p. 3-8
Invariant functions of dynamical systems
p. 9-15
Numerical characteristics of systems correct in the sense of Petrovskiĭ
p. 16-22
The stability of the solution of a~system of Volterra integral equations of the second kind.~I,~II
p. 23-34
On the limit cycle of a~dynamical system of differential equations in a~class of cases
p. 35-44
Continuation of solutions of non-linear integral equations of Hammerstein type
p. 45-54
Cauchy's problem for parabolic systems of linear partial differential equations with increasing coefficients
p. 55-74
The convergence problem for algorithms of Schwarz type
p. 75-90
The problem of stability of the solutions of integro-difference equations
p. 91-104
On $n$-dimensional surfaces with asymptotic fields of $p$-directions
p. 105-113
Qualitative investigation of a system of two differential equations by the method of two isoclines
p. 114-128
The set of isolated points of increase of the spectral function pertaining to a~limit-constant Jacobi matrix
p. 129-135
Some new properties of surfaces of the second order in elliptic space
p. 136-144
Resolvent systems of an equation with anamorphosis
p. 145-155
On complex representation of tensors of Lorentz space
p. 156-163
On variable lag
p. 164-173
On a case of filtering of two little compressible fluids through deformable porous media
p. 174-179
The reduction of non-selfadjoint operators to triangular form
p. 180-186
Non-steady plane flows of a~polytropic gas with straight-line generators
p. 187-198
A curvilinear integral in function space
p. 199-203
Approximate solution of the problem of cooling the heated ball immersed in a spherical layer of liquid
p. 204-211
A~uniqueness theorem for the solutions of a~boundary problem for the equation $u_{xx}+\frac{\partial}{\partial y}\big(\frac{u_y}{y}\big)=0$
p. 212-217
A~covering theorem in function theory
p. 218-223
The rate of convergence of an iteration method for the numerical solution of an elliptic equation
p. 224-230
Letter to the Editor of the journal ``Matematika''

Sommaire du Fascicule no. 2

Dual-conformal correspondence between line complexes in $n$-dimensional euclidean space
p. 3-11
Topological classification of collineations of the projective plane
p. 12-27
Completely integrable Pfaffian systems
p. 28-40
A~class of affine connections in homogeneous spaces
p. 41-49
The stability of the solution of a~system of Volterra integral equations of the second kind.~I,~II
p. 50-58
Certain inverse boundary problems for higher order elliptic equations
p. 59-68
On the theory of the field of local surfaces in a tangential compound manifold of first order $E_n(X_n)$
p. 69-79
Schwarz's integral and Hilbert's formulae for analytic functions of several complex variables
p. 80-93
On the use of minimax properties in perturbation theory
p. 94-100
Frommer's first and second discrimination problems
p. 101-117
The expansion of functions in terms of eigenfunctions of boundary problems for Volterra integro-differential equations
p. 118-127
Integral equations with many-valued kernels
p. 128-137
An analytical method for establishing correlation equations
p. 138-143
Conditions for boundedness of the solutions of some systems of linear partial differential equations
p. 144-157
The Riemann boundary problem with dicontinuous coefficients
p. 158-166
Anamorphosis of equations admitting an $A$-factor
p. 167-175
On complex representation of the invariants of a~four-dimensional Riemannian space
p. 176-182
The summation of bounded sequences by Toeplitz matrices
p. 183-188
On symmetric gravitational fields
p. 189-197
An application of the condition of solvability of \v{C}aplygin's problem to the question of boundedness and stability of solutions of differential equations
p. 198-201
Estimate for the region of convergence of periodic series solutions of differential equations with a~small parameter. The case of no resonance
p. 202-212
On some integro-differential equations of convolution type
p. 213-226
The relation between the growth of an entire function of several complex variables and the set of singular points of its associated function
p. 227-232
On Jacobi matrices
p. 233-243
A new example of plane-parallel flow near the direct shock wave, terminating within the flow
p. 244-246
Periodic solutions of the heat equation
p. 247-251
An integral maximum principle for strongly parabolic systems and some applications
p. 252-258
Remarks on the Laplace operators on a~unimodular group
p. 259-269
The variation of a~triple and multiple integral with weaker conditions imposed on the arguments of the integrand
p. 270-275

Sommaire du Fascicule no. 3

Investigation on the maximum principle.~II
p. 3-12
On an identity of Chowla and Selberg
p. 13-21
Dual-conformal mapping of a~line complex
p. 22-29
On the theory of families of planes in non-Euclidean spaces
p. 30-42
Some local properties of functions of class $L_p$
p. 43-52
On the theory of the field of local conic surfaces in the composite tangent manifold $E_n(X_n)$ of first order.~I,~II
p. 53-64
On a~method of solving the boundary value problem for the polyharmonic equation
p. 65-73
Asymptotic bounds for a~class of meromorphic functions of finite order
p. 74-87
On universal classes of algebras, closed under direct products
p. 88-96
On topological methods in the theory of functions of a~complex variable and certain applications to the inverse boundary value problem
p. 97-111
On the theory of lattice-ordered groups
p. 112-120
Bicompactness in lattices
p. 121-129
Analytic solutions of an equation of infinite order with polynomial coefficients
p. 130-146
Constant symmetric tensors in Riemannian space
p. 147-158
Wrapping with the separation of jets obstacles, a prisoner in a channel with parallel walls
p. 159-167
Some geometric criteria for the uniqueness of the solutions of the Dirichlet problem for strongly elliptic systems of second-order partial differential equations
p. 168-172
On three-dimensional surfaces with three orthogonal families of asymptotics
p. 173-185
On the inconsistent motion of viscous incompressible fluid in the bearing
p. 186-199
On the stability of the solutions of certain non-linear differential equations of third and fourth order
p. 200-209
Formulas for the boundary values of a~class of functions
p. 210-213
A~biaxial space of parabolic type
p. 214-228
An approximate solution of operator equations depending on a~parameter
p. 229-232

Sommaire du Fascicule no. 4

Integral representations of univalent functions
p. 3-8
On the star-shaped character of the mappings of a~domain by functions regular and univalent in the circle
p. 9-15
An approximate solution of the Cauchy problem for a~second-order hyperbolic equation
p. 16-20
Determination of the region of convergence of multiple power series
p. 21-26
On matrices which commute with their derivatives
p. 27-37
On the existence of a~periodic solution and on the global boundedness of solutions of a~system of ordinary third-order differential equations
p. 38-49
$VF$-subgroups of infinite groups
p. 50-55
On the theory of the distribution of the zeros of Algebraic polynomials
p. 56-63
On the theory of the field of local conic surfaces in the composite tangent manifold $E_n(X_n)$ of first order.~I,~II
p. 64-69
Conditions for the existence of a~periodic solution of finite-difference equations
p. 70-79
A relation between a problem of the theory of biharmonic functions and a special case of a problem of Poincar\'e
p. 80-88
The asymptotic properties of positive summation methods of Fourier series
p. 89-93
On the eigenfunctions and associated functions of a~differentiation operator
p. 94-103
Singular solutions of a~perturbed linear integral equation
p. 104-110
On a~class of differential equations of infinite order
p. 111-121
The integration of a~linear second-order differential equation with a~variable coefficient
p. 122-125
Eigenvectors on hyperboloids in Hilbert space
p. 126-140
A~study of the ``triangular form'' of non-selfadjoint operators
p. 141-149
The solution of differential-difference equations with linear coefficients
p. 150-160
The theory of non-singular hyperstrips in a~centro-affine space
p. 161-167
Convergence of te method of successive approximations in a~problem in the non-linear theory of shells
p. 168-177
The stressed state of a~hollow circular cylinder
p. 178-183
On some questions in the theory of approximation of functions in the spaces $C[a,b]$ и $L^{(s)}[a,b]$
p. 184-197
A~multiplicative integral in a~Lie group
p. 198-223
On functions of one real variable
p. 224-231
A higher-dimensional analogue of an integral of Cauchy type
p. 232-239

Sommaire du Fascicule no. 5

On the theory of generalized integral transforms of functions of several variables
p. 3-15
Investigation on the maximum principle.~III
p. 16-32
Semi-periodic functions with an $\varepsilon$-finite basis
p. 33-39
A~grapho-numerical method of solving boundary-value problems for ordinary second-order differential equations
p. 40-47
Pendulum oscillations with dry friction
p. 48-57
On the marginal a~posteriori distribution
p. 58-66
Theory of congruences of a~biaxial space
p. 67-79
Analytic congruences of straight lines in a~three-dimensional binary non-Euclidean space
p. 80-92
Generalized number-theoretic functions and the distribution of groups of primes
p. 93-97
On an asymptotic problem
p. 98-103
The summation of Fourier series by a~method of Bernstein and Rogosinski
p. 104-111
The scope of the concept of a~$u_0$-concave operator
p. 112-121
Optimal regulation in non-linear systems
p. 122-130
A~comparison of the power of various summation methods for divergent series with those of Ces\`aro means
p. 131-145
Interpolation in the class of entire functions of finite order
p. 146-153
Traces of powers of the junction matrix of vertices and the junction matrix of edges in a~non-singular graph
p. 154-163
An approximation method for the solution of linear integral equations
p. 164-170
On a~problem of N.\,P.~Erugin
p. 171-173
The behavior of the solutions of difference equations near a~fixed point
p. 174-183
Boundary value problems for a~class of quasi-linear equations and systems of elliptic type
p. 184-196
Reduction of the Cauchy problem for a system of two partial differential equations with two unknown functions to the system of integral equations
p. 197-207
On the solutions of the equations $\dfrac{d^2x}{dt^2}=F\biggl(x,\dfrac{dx}{dt}\biggr)$
p. 208-218
On the non-oscillation of solutions of non-linear differential equations of third and fourth order
p. 219-221
Letter to the editors
By the anniversary of the death of Professor I.\,G.~Malkin
p. 223-224

Sommaire du Fascicule no. 6

Elementary criteria for univalence in terms of boundary characteristics
p. 3-8
A~singular integral equation with a~``sum'' kernel
p. 9-13
A~criterion for the weak convergence of a~sequence of monotone functions
p. 14-25
Fundamental of curve theory in a~conformal space $(M_n)$ of~$n$ dimensions
p. 26-37
On the growth of solutions of a~class of systems of Volterra integral equations
p. 38-43
On the closure of certain differential operators
p. 44-47
The representation of ordered semigroups by binary relations
p. 48-50
Spaces isomorphic to a~locally uniformly convex space
p. 51-57
Solvable standard Lie algebras.~I
p. 58-71
A~limiting boundary value problem for the equation $\ddot x+\dot xf(x,\dot x)+\phi(x)=0$
p. 72-80
On the problem of existence of optimal trajectories
p. 81-87
An arithmetic analogue of Brownian motion
p. 88-95
On the variation of the region of monotonicity
p. 96-101
A~formula for the analytic continuation of the Newton interpolation series
p. 102-110
On the theory of Gronwall transformations
p. 111-117
Classification of gravitational fields of general type by the group of motions.~I,~II,~III
p. 118-130
A~formula in the Nekrasov--Nazarov method
p. 131-137
On the oscillations of solutions of finite-difference equations
p. 138-144
Wiener measure and its applications to approximation methods.~I
p. 145-158
Conditions for the dependence of solutions of a~system of linear differential equations on the choice of the roots of the characteristic equation
p. 159-168
Successive approximations of Tricomi for finding a~solution of the differential equation $\ddot x=f(x,\,\dot x)$ periodic in~$x$
p. 169-173
Systems and series of elements with unbounded Gram matrices
p. 174-188
On a~theorem in the theory of univalent functions
p. 189-191
An existence theorem for a~weak solution and first approximation of the direct problem in the theory of the plane-parallel Laval nozzle
p. 192-201
The addition of finite sets.~I
p. 202-213
On the distribution of the zeros of certain classes of polynomials
p. 214-219
Solution of the hyperbolic system of two partial differential equations with two unknown functions
p. 220-228
Letter to the editors